# Patent

## Title
Object detection apparatus and storage medium

## Abstract

Important information about an object is detected using less arithmetic processing. An object detection unit generates an edge image from a color image. The object detection unit evaluates symmetry of an image included in the edge image by performing processing in accordance with the position of a target pixel. The object detection unit identifies a symmetry center pixel forming an object having symmetry. The object detection unit detects an object width for each symmetry center pixel. The object detection unit identifies the width of the object in the vertical direction based on the width of the symmetry center pixels in the vertical direction, and identifies the width of the object in the horizontal direction based on the object width identified for each symmetry center pixel.

## Background
TECHNICAL FIELD
The present invention relates to an apparatus and a method for detecting a symmetrical object included in an image.
BACKGROUND ART
Some image processing techniques use symmetries of objects. Patent Literature 1 below describes a technique for evaluating the correlation between image areas located right and left to each target pixel by calculating the correlation between the right and the left of the target pixel. This technique detects a target pixel for which the calculated correlation is the highest as the center of a symmetrical object.
CITATION LIST
Patent Literature
Patent Literature 1: Japanese Unexamined Patent Publication No. 2010-267257
DISCLOSURE OF INVENTION
Technical Problem
Techniques for detecting objects have many applications in a variety of fields. Applications using information about detected objects, which typically use information about the position of an object, may further need the size of an object as important information.
However, it has been difficult to obtain information about both the position and the size of an object included in an image with high accuracy without increasing the processing load.
In response to the above problem, it is an object of the present invention to provide a technique for detecting important information about an object (e.g., information about the position and the size of an object) using less arithmetic processing.
Solution to Problem
To solve the above problem, an object detection apparatus according to a first aspect of the invention includes an image input unit, an image feature quantity extraction unit, and a symmetry evaluation unit.
The image input unit receives an image.
The image feature quantity extraction unit extracts a predetermined image feature quantity from the image to generate a feature-quantity extraction image.
The symmetry evaluation unit sets, for every processing target pixel in the feature-quantity extraction image, a symmetry evaluation area for evaluating symmetry in a first direction in the image in such a manner that the symmetry evaluation area is symmetrical with respect to a central axis that is a predetermined axis in a second direction orthogonal to the first direction, and calculates a weighted value resulting from weighting a value indicating a correlation value based on a distance of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis from the central axis, while varying a size of the symmetry evaluation area to obtain a symmetry evaluation value indicating a degree of the symmetry in the first direction. The correlation value indicates a correlation between image feature quantities of the group of pixels.
This object detection apparatus obtains the symmetry evaluation value using the value resulting from weighting of a value indicating a correlation between image feature quantities of a group of pixels located symmetrical to each other with respect to the central axis based on the distance of the group of pixels from the central axis, and thus can evaluate symmetry in the first direction with high accuracy.
Using the symmetry evaluation value obtained by the object detection apparatus enables a highly symmetrical object to be detected with high accuracy using less arithmetic processing.
The width of the symmetry evaluation area in the second direction (orthogonal to the first direction) may be a width corresponding to one pixel, or a width corresponding to a plurality of pixels.
The group of pixels located symmetrical with respect to the central axis is a concept that includes (1) two pixels located at the same distance from the central axis in the opposite directions in an image (e.g., two pixels, or a pixel P1 at the distance k from the central axis to the left in the horizontal direction when the first direction is the horizontal direction and a pixel P2 at the distance k from the central axis to the right in the horizontal direction), or (2) a plurality of pixels located at the same distance from the central axis in the opposite directions in an image (e.g., n pixels at the distance k from the central axis to the left in the horizontal direction when the first direction is the horizontal direction, and n pixels at the distance k from the central axis to the right in the horizontal direction).
Further, the value indicating the correlation between the image feature quantities is a value indicating the degree of correlation of the image feature quantities. The value indicates a higher correlation when, for example, the correlation between the pixel values of two pixels included in a feature-quantity extraction image is higher (e.g., the two pixel values have a small difference between them or the ratio of the two pixel values is close to 1).
A second aspect of the invention provides the object detection apparatus of the second aspect of the invention in which the symmetry evaluation unit determines a width of the first-direction symmetry based on the size of the symmetry evaluation area corresponding to the symmetry evaluation value indicating the highest symmetry in the first direction.
This object detection apparatus evaluates symmetry in the first direction in the image obtained by extracting the image feature quantity from the input image, and thus evaluates symmetry while varying the size of the symmetry evaluation area (e.g., the width in the first direction). Thus, when determining that a predetermined image area has high symmetry, the object detection apparatus can obtain the size of the image area determined to have high symmetry determined to have high symmetry (e.g., the width in the first direction) at the same time. More specifically, this object detection apparatus can detect the position and the size of an object at one time using the symmetry of the object included in the image.
Thus, the object detection apparatus can detect a highly symmetrical object with high accuracy using less arithmetic processing.
A third aspect of the invention provides the object detection apparatus of the first aspect of the invention in which the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using Formula 1 given below, while varying a value of 2w+1, where w is a natural number, and where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        1
      
    
    
      
        
      
    
  
  
    
      
        
          
            
              SYM
              w
            
            ⁡
            
              (
              
                i
                ,
                j
              
              )
            
          
          =
          
            
              1
              w
            
            ⁢
            
              
                ∑
                
                  k
                  =
                  1
                
                w
              
              ⁢
              
                {
                
                  
                    (
                    
                      
                        P
                        ⁢
                        
                          
                        
                        ⁢
                        max
                      
                      -
                      
                        
                          f
                          i
                        
                        ⁡
                        
                          (
                          k
                          )
                        
                      
                    
                    )
                  
                  *
                  
                    c
                    ⁡
                    
                      (
                      k
                      )
                    
                  
                
                }
              
            
          
        
        ⁢
        
          

        
        ⁢
        
          
            
              f
              i
            
            ⁡
            
              (
              k
              )
            
          
          =
          
            {
            
              
                
                  
                    
                    
                      
                        P
                        
                          i
                          -
                          k
                        
                      
                      -
                      
                        P
                        
                          i
                          +
                          k
                        
                      
                    
                    
                  
                
                
                  
                    if
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                    ⁢
                    
                      or
                      ⁡
                      
                        (
                        
                          
                            P
                            
                              i
                              +
                              k
                            
                          
                          >
                          Th
                        
                        )
                      
                    
                  
                
              
              
                
                  
                    P
                    ⁢
                    
                      
                    
                    ⁢
                    max
                  
                
                
                  else
                
              
            
            }
          
        
      
    
    
      
        (
        1
        )
      
    
  




Through the processing written as Formula 1, this object detection apparatus obtains the symmetry evaluation value using the value resulting from weighting a value Pmax-fi(k) by a value c(k). The value (Pmax-fi(k)) indicates a correlation between image feature quantities of a group of pixels located symmetrical to each other with respect to the central axis. The value c(k) indicates the distance of each pixel from the central axis. The object detection apparatus can thus evaluate symmetry in the first direction with high accuracy.
Using the symmetry evaluation value obtained by the object detection apparatus enables a highly symmetrical object to be detected with high accuracy using less arithmetic processing.
In the processing written as Formula 1 above, the range of values of the symmetry evaluation value SYMw(i, j) may be adjusted by gain adjustment (coefficient adjustment), normalization, or clipping to a predetermined value (the processing modified from Formula 1 above may be performed).
The maximum value Pmax may be a maximum value of possible pixel values in the feature-quantity extraction image or may be a predetermined value equal to or greater than the maximum value.
A fourth aspect of the invention provides the object detection apparatus of the third aspect of the invention in which the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).
When determining that a predetermined image area has high symmetry, the object detection apparatus can obtain the size of the image area determined to have high symmetry (e.g., the width in the first direction) at the same time. In other words, this object detection apparatus can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection apparatus can detect a highly symmetrical object with high accuracy using less arithmetic processing.
A fifth aspect of the invention provides the object detection apparatus of the second aspect of the invention in which the symmetry evaluation unit calculates a weighted value resulting from weighting a value indicating a correlation between image feature quantities of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis based on a distance from the central axis to the group of pixels and an image feature quantity on the group of pixels to obtain a symmetry evaluation value indicating a degree of the first-direction symmetry.
This object detection apparatus can obtain the symmetry evaluation value indicating the degree of symmetry in the first direction based on both the image feature quantity of a pixel included in the symmetry evaluation area and the position of the pixel in the image.
A sixth aspect of the invention provides the object detection apparatus of the fifth aspect of the invention in which the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using Formula 2 given below, while varying a value of 2w+1, where w is a natural number, and where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        2
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              {
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        -
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                      
                      
                    
                  
                  )
                
                *
                
                  P
                  
                    i
                    -
                    k
                  
                
                *
                
                  P
                  
                    i
                    +
                    k
                  
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              }
            
          
        
      
    
    
      
        (
        2
        )
      
    
  




Through the processing written as Formula 2, this object detection apparatus obtains the symmetry evaluation value using the value resulting from weighting a value (Pmax−|Pi−k−Pi+k|) by a value (Pi−k×Pi+k) and a value c(k). The value (Pmax−|Pi−k−Pi+k|) indicates a correlation between image feature quantities of a group of pixels located symmetrical to each other with respect to the central axis. The value (Pi−k×Pi+k) indicates image feature quantities of the group of pixels. The value c(k) indicates the distance of each pixel from the central axis. The object detection apparatus can thus evaluate symmetry in the first direction with high accuracy.
Using the symmetry evaluation value obtained by the object detection apparatus enables a highly symmetrical object to be detected with high accuracy using less arithmetic processing.
The maximum value Pmax may be a maximum value of possible pixel values in the feature-quantity extraction image or may be a predetermined value equal to or greater than the maximum value.
A seventh aspect of the invention provides the object detection apparatus of the sixth aspect of the invention in which the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).
When determining that a predetermined image area has high symmetry, the object detection apparatus can obtain the size of the image area determined to have high symmetry (e.g., the width in the first direction) at the same time. In other words, this object detection apparatus can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection apparatus can detect a highly symmetrical object with high accuracy using less arithmetic processing.
A eighth aspect of the invention provides the object detection apparatus of the second aspect of the invention in which the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using either Formula 3 or Formula 4 given below, while varying a value of 2w+1, where w is a natural number, and where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, and Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, 2n+1 is a width of the symmetry evaluation area in the second direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        3
      
    
    
      
        
      
    
  
  
    
      
        
          
            
              SYM
              w
            
            ⁡
            
              (
              
                i
                ,
                j
              
              )
            
          
          =
          
            
              1
              
                
                  2
                  ⁢
                  n
                
                +
                1
              
            
            ⁢
            
              
                ∑
                
                  m
                  =
                  
                    j
                    -
                    n
                  
                
                
                  j
                  +
                  n
                
              
              ⁢
              
                [
                
                  
                    1
                    w
                  
                  *
                  
                    
                      ∑
                      
                        k
                        =
                        1
                      
                      w
                    
                    ⁢
                    
                      {
                      
                        
                          (
                          
                            
                              P
                              ⁢
                              
                                
                              
                              ⁢
                              max
                            
                            -
                            
                              
                                f
                                i
                              
                              ⁡
                              
                                (
                                k
                                )
                              
                            
                          
                          )
                        
                        *
                        
                          c
                          ⁡
                          
                            (
                            k
                            )
                          
                        
                      
                      }
                    
                  
                
                ]
              
            
          
        
        ⁢
        
          

        
        ⁢
        
          
            
              f
              i
            
            ⁡
            
              (
              k
              )
            
          
          =
          
            {
            
              
                
                  
                    
                    
                      
                        P
                        
                          i
                          -
                          k
                        
                      
                      -
                      
                        P
                        
                          i
                          +
                          k
                        
                      
                    
                    
                  
                
                
                  
                    if
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                    ⁢
                    
                      or
                      ⁡
                      
                        (
                        
                          
                            P
                            
                              i
                              +
                              k
                            
                          
                          >
                          Th
                        
                        )
                      
                    
                  
                
              
              
                
                  
                    P
                    ⁢
                    
                      
                    
                    ⁢
                    max
                  
                
                
                  else
                
              
            
            }
          
        
      
    
    
      
        (
        3
        )
      
    
  
  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        4
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              [
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                        1
                        
                          
                            2
                            ⁢
                            n
                          
                          +
                          1
                        
                      
                      ⁢
                      
                        
                          ∑
                          
                            m
                            =
                            
                              j
                              -
                              n
                            
                          
                          
                            j
                            +
                            n
                          
                        
                        ⁢
                        
                          
                            f
                            i
                          
                          ⁡
                          
                            (
                            k
                            )
                          
                        
                      
                    
                  
                  )
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        4
        )
      
    
  




The maximum value Pmax may be a maximum value of possible pixel values in the feature-quantity extraction image or may be a predetermined value equal to or greater than the maximum value.
A ninth aspect of the invention provides the object detection apparatus of the eighth aspect of the invention in which the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).
When determining that a predetermined image area has high symmetry, the object detection apparatus can obtain the size of the image area determined to have high symmetry (e.g., the width in the first direction) at the same time. In other words, this object detection apparatus can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection apparatus can detect a highly symmetrical object with high accuracy using less arithmetic processing.
A tenth aspect of the invention provides the object detection apparatus of the second aspect of the invention in which the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using either Formula 5 or Formula 6 given below, while varying a value of 2w+1, where w is a natural number, and where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, and Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, 2w+1 is a width of the symmetry evaluation area in the first direction, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, 2n+1 is a width of the symmetry evaluation area in the second direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.




  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          5
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            
              
                2
                ⁢
                n
              
              +
              1
            
          
          ⁢
          
            
              ∑
              
                m
                =
                
                  j
                  -
                  n
                
              
              
                j
                +
                n
              
            
            ⁢
            
              [
              
                
                  1
                  w
                
                *
                
                  
                    ∑
                    
                      k
                      =
                      1
                    
                    w
                  
                  ⁢
                  
                    {
                    
                      
                        (
                        
                          
                            P
                            ⁢
                            
                              
                            
                            ⁢
                            max
                          
                          -
                          
                            
                            
                              
                                P
                                
                                  
                                    i
                                    -
                                    k
                                  
                                  ,
                                  m
                                
                              
                              -
                              
                                P
                                
                                  
                                    i
                                    +
                                    k
                                  
                                  ,
                                  m
                                
                              
                            
                            
                          
                        
                        )
                      
                      *
                      
                        P
                        
                          
                            i
                            -
                            k
                          
                          ,
                          m
                        
                      
                      *
                      
                        P
                        
                          
                            i
                            +
                            k
                          
                          ,
                          m
                        
                      
                      *
                      
                        c
                        ⁡
                        
                          (
                          k
                          )
                        
                      
                    
                    }
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        5
        )
      
    
  
  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          6
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              [
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                        1
                        
                          
                            2
                            ⁢
                            n
                          
                          +
                          1
                        
                      
                      ⁢
                      
                        
                        
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  -
                                  k
                                
                                ,
                                m
                              
                            
                          
                          -
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  +
                                  k
                                
                                ,
                                m
                              
                            
                          
                        
                        
                      
                    
                  
                  )
                
                *
                
                  (
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        P
                        
                          
                            i
                            -
                            k
                          
                          ,
                          m
                        
                      
                    
                  
                  )
                
                *
                
                  (
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        P
                        
                          
                            i
                            +
                            k
                          
                          ,
                          m
                        
                      
                    
                  
                  )
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        6
        )
      
    
  




The maximum value Pmax may be a maximum value of possible pixel values in the feature-quantity extraction image or may be a predetermined value equal to or greater than the maximum value.
A eleventh aspect of the invention provides the object detection apparatus of the tenth aspect of the invention in which the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).
When determining that a predetermined image area has high symmetry, the object detection apparatus can obtain the size of the image area determined to have high symmetry (e.g., the width in the first direction) at the same time. In other words, this object detection apparatus can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection apparatus can detect a highly symmetrical object with high accuracy using less arithmetic processing.
A twelfth aspect of the invention provides the object detection apparatus of one of the third, fourth, and sixth to twenty tenth aspects of the invention in which the weighting function c(k) is a monotonically increasing function of k.
This object detection apparatus calculates the symmetry evaluation value through weighting with a larger value as the area is more distant from the target pixel. Thus, the object detection apparatus can detect a highly symmetrical area (object) located distant from the symmetrical axis with high accuracy.
The monotonically increasing function is not limited to a strict monotonically increasing function, but it may include a range of values k in which the function does not change monotonically but may be constant (e.g., the function may include a non-variable range, or a range in which the function returns a constant value). The monotonically increasing function includes a function in which its output value globally increases with respect to its input value, such as a function that is regarded as a monotonically increasing function after smoothing the input-output characteristics curve defined by the function (e.g., processing with a low-pass filter).
A thirteenth aspect of the invention provides the object detection apparatus of one of the third, fourth, and sixth to tenth aspects of the invention in which the weighting function c(k) is a monotonically decreasing function of k.
This object detection apparatus calculates the symmetry evaluation value through weighting with a smaller value as the area is less distant from the target pixel. Thus, the object detection apparatus can detect a highly symmetrical area (object) located near the symmetrical axis with high accuracy.
The monotonically decreasing function is not limited to a strict monotonically decreasing function, but it may include a range of values k in which the function does not change monotonically but may be constant (e.g., the function may include a non-variable range, or a range in which the function is constant). The monotonically decreasing function includes a function in which its output value globally decreases with respect to its input value, such as a function that is regarded as a monotonically decreasing function after smoothing the input-output characteristics curve defined by the function (e.g., processing with a low-pass filter).
A fourteenth aspect of the invention provides the object detection apparatus of one of the first to thirteenth aspects of the invention in which (1) when a value of a row i indicating a position of the target pixel in the first direction is equal to or less than H/2, the symmetry evaluation unit calculates the symmetry evaluation value by varying a value of w within a range of 1≦w≦(i−1), where w is a half of the width of the symmetry evaluation area in the first direction and H is the number of pixels in the first direction of the image, and H is a natural number, and (2) when the value of the row i indicating the position of the target pixel in the first direction is greater than H/2, the symmetry evaluation unit calculates the symmetry evaluation value by varying the value of w within a range of 1≦w≦(H−i).
This object detection apparatus ensures that the symmetry evaluation area is symmetrical with respect to the target pixel, and can detect the symmetry evaluation value using a maximum area among horizontally symmetrical areas with respect to the target pixel.
A fifteenth aspect of the invention provides the object detection apparatus of one of the first to fourteenth aspects of the invention in which the image feature quantity is an edge intensity of the image.
This object detection apparatus can detect a highly symmetrical object by using an edge component of an image, and thus can detect an object having high symmetry at the contour (outline) of the object with high accuracy.
A sixteenth aspect of the invention provides the object detection apparatus of one of the first to fourteenth aspects of the invention in which the image feature quantity is an intensity of a specific color component of the image.
This object detection apparatus can detect a highly symmetrical object by using a specific color component of an image, and thus can detect an object having high symmetry for a specific color component with high accuracy.
A seventeenth aspect of the invention provides a non-transitory computer-readable storage medium having stored thereon a program enabling a computer to implement an object detection method. The object detection method includes an image input step, a feature quantity extraction step, and a symmetry evaluation step.
In the image input step, an image is received.
In the feature quantity extraction step, a predetermined image feature quantity is extracted from the image to generate a feature-quantity extraction image.
In the symmetry evaluation step, for every processing target pixel in the feature-quantity extraction image, a symmetry evaluation area for evaluating symmetry in a first direction in the image is set in such a manner that the symmetry evaluation area is symmetrical with respect to a central axis that is a predetermined axis in a second direction orthogonal to the first direction, and a weighted value resulting from weighting a value indicating a correlation value based on a distance of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis from the central axis is calculated, while a size of the symmetry evaluation area is varied to obtain a symmetry evaluation value indicating a degree of the symmetry in the first direction. The correlation value indicates a correlation between image feature quantities of the group of pixels.
The program enabling the computer to implement the object detection method has the same advantageous effects as the object detection apparatus of the first aspect of the present invention.
Advantageous Effects 
The technique of the present invention enables the position and the size of an object to be detected based on symmetry of an object in an input image, and thus enables important information about an object (e.g., information about the position and the size of an object) to be detected using less arithmetic processing.



BRIEF DESCRIPTION OF DRAWINGS
FIG. 1 is a block diagram of an object detection system 1000 according to a first embodiment.
FIG. 2 is a block diagram of an object detection unit 22 according to the first embodiment.
FIG. 3 is a diagram showing example images generated in the steps of object detection implemented by the object detection system 1000 of the first embodiment.
FIG. 4A shows an input image 101 including a symmetrical object.
FIG. 4B shows a luminance image 102 generated by extracting a luminance component from the input image 101.
FIG. 4C shows an edge image 103 generated from the luminance image 102.
FIG. 4D shows a symmetry evaluation map image 104.
FIG. 4E shows a symmetry width map image 105.
FIG. 4F shows a symmetry center map image 106.
FIG. 4G shows a composite image (output image) 107 including a superimposed area frame 130.
FIG. 5 is a diagram of pixels located right and left to a target pixel Pi.
FIGS. 6A-6F are diagrams describing a method for obtaining a symmetry width wa.
FIG. 7 is a graph showing (example) changes in the symmetry evaluation map image 104 in the horizontal direction.
FIGS. 8A-8B are diagrams describing a method for obtaining a symmetry width wa.
FIG. 9 shows an area in which a highly symmetrical object is detected according to a first modification of the first embodiment.
FIGS. 10A-10D show examples of a weighting function c(k).
FIG. 11A is a diagram showing example images generated in the steps of object detection implemented by an object detection system according to a second embodiment.
FIG. 11B shows a Cr-component image 202 generated by extracting a Cr component from the input image 101.
FIG. 11C shows a feature-quantity extraction image (an R-component image, or a Cr-component enhanced image) 203.
FIG. 11D shows a symmetry evaluation map image 204.
FIG. 11E shows a symmetry width map image 205.
FIG. 11F shows a symmetry center map image 206.
FIG. 11G shows a composite image (an output image) 207 including a superimposed area frame 230.
FIGS. 12A-12C show an input image 301, a feature-quantity extraction image (an R-component, or Cr-component extraction image) 302, and an output image (composite image) 303 according to a first modification of the second embodiment.



DESCRIPTION OF THE PREFERRED EMBODIMENTS 
First Embodiment
A first embodiment will now be described with reference to the drawings.
1.1 Structure of Object Detection System
FIG. 1 is a block diagram of an object detection system 1000 according to a first embodiment. The object detection system 1000 includes an imaging apparatus 1, an object detection apparatus 2, and a display apparatus 3.
The imaging apparatus 1 includes an optical system (not shown) and an image sensor. The optical system focuses light from a subject. The image sensor, which may be, for example, a charge-coupled device (CCD) image sensor or a complementary metal oxide semiconductor (CMOS) image sensor (not shown), converts the light focused through the optical system to image signals (electrical signals) by photoelectric conversion. The imaging apparatus 1 outputs the image captured by the image sensor (image signals) to the object detection apparatus 2.
The object detection apparatus 2 receives image signals output from the imaging apparatus 1, and detects a symmetrical object included in an image formed using the input image signals, and outputs an image (image signals) indicating the detection result to the display apparatus 3.
In one example, the object detection apparatus 2 is mounted on a vehicle. When mounted on the front side of the vehicle, the imaging apparatus 1 captures an image (scene) of the environment in front of the vehicle. Alternatively, the imaging apparatus 1 may be mounted on the rear side of the vehicle to capture an image (scene) of the environment behind the vehicle.
The display apparatus (monitor) 3 is mounted on, for example, the dashboard of the vehicle. The display apparatus 3 may also function as a monitor for a navigation system.
As shown in FIG. 1, the object detection apparatus 2 includes an image input unit 21, an object detection unit 22, and a superimposing unit 23.
The image input unit 21 receives an image (image signals) output from the imaging apparatus 1. When, for example, the imaging apparatus 1 includes a CCD image sensor including an RGB Bayer array of color filters, the image input unit 21 receives a sequence of pixel signals including an R-component signal, a G-component signal, and a B-component signal. The image input unit 21 converts the input image signals to signals in a predetermined format as appropriate, and outputs the resulting image signals (unconverted image signals when no conversion is performed) to the object detection unit 22. The image input unit 21 outputs the input image signals to the superimposing unit 23.
The conversion into a predetermined format refers to, for example, conversion from one color space to the other (e.g., conversion from the RGB color space to the YCbCr color space). The image input unit 21 converts, as appropriate, the input image signals defined in the RGB color space (an R-component signal, a G-component signal, and a B-component signal) to, for example, signals defined in the YCbCr color space (a Y-component signal, a Cb-component signal, and a Cr-component signal).
In the example described below, for ease of explanation, the input image signals in the RGB color space (an R-component signal, a G-component signal, and a B-component signal) are converted to signals in the YCbCr color space (a Y-component signal, a Cb-component signal, and a Cr-component signal) in the image input unit 21.
The object detection unit 22 receives an image (image signals) output from the image input unit 21, and subjects the input image to predetermined image processing to detect a symmetrical object included in an image formed using the image signals (e.g., a frame image) (identifies an image area corresponding to a symmetrical object). The object detection unit 22 outputs the detection result (e.g., information identifying an image area corresponding to a symmetrical object) to the superimposing unit 23.
As shown in FIG. 2, the object detection unit 22 includes an image feature quantity extraction unit 221, a symmetry evaluation unit 222, a center detection unit 223, and an object area detection unit 224.
The image feature quantity extraction unit 221 calculates (extracts) an image feature quantity from an image output from the image input unit 21. More specifically, the image feature quantity extraction unit 221 performs differential arithmetic processing using the Sobel filter and extracts, for example, an edge component as an image feature quantity from a Y-component image (luminance component image) formed using a Y-component signal (luminance component signal) output from the image input unit 21. The image feature quantity extraction unit 221 outputs an image in which each pixel has the extracted edge component as its pixel value (feature-quantity extraction image) to the symmetry evaluation unit 222 and the object area detection unit 224 as an image feature-quantity extraction image.
For ease of explanation, the pixel value of each pixel in the feature-quantity extraction image is hereafter larger as the image feature quantity to be extracted is larger.
The symmetry evaluation unit 222 receives an image (feature-quantity extraction image) extracted from the image feature quantity extraction unit 221. For the feature-quantity extraction image, the symmetry evaluation unit 222 evaluates (determines) symmetry of each pixel in a predetermined direction (e.g., the horizontal direction) in an image, and determines (estimates) the width of an image area (width in the predetermined direction, or for example the horizontal direction). The symmetry evaluation unit 222 obtains symmetry evaluation map data indicating the correspondence for each pixel between information identifying each pixel (processing target pixel) (e.g., the coordinates of each pixel) and a value indicating the degree of symmetry evaluated (determined) for the pixel (or a value correlated with this value).
Further, the symmetry evaluation unit 222 obtains symmetry width map data indicating the correspondence for each pixel between information identifying each pixel (processing target pixel) (e.g., the coordinates of each pixel) and a value indicating the width of a highly symmetrical image area evaluated (determined) for the pixel (the width in the predetermined direction, or for example the horizontal direction) (or a value correlated with this value).
The symmetry evaluation unit 222 outputs the obtained symmetry evaluation map data to the center detection unit 223. The symmetry evaluation unit 222 also outputs the obtained symmetry width map data to the object area detection unit 224.
The center detection unit 223 receives the symmetry evaluation map data obtained by the symmetry evaluation unit 222. The center detection unit 223 identifies a pixel or a pixel area having a maximum local value (or a value close to a maximum local value) in the predetermined direction in the image (e.g., the horizontal direction) when the symmetry evaluation map data is a two-dimensional image (an image generated through mapping of symmetry evaluation values serving as the pixel values of the pixels), and determines (estimates) the position of the central axis of the highly symmetrical object based on the identified pixel or pixel area. The center detection unit 223 then outputs information about the position of the central axis (in the image) of the determined (estimated) highly symmetrical object to the object area detection unit 224.
The object area detection unit 224 receives the symmetry width map data obtained by the symmetry evaluation unit 222, and the information about the position of the central axis (in the image) of the highly symmetrical object output from the center detection unit 223. The object area detection unit 224 detects the highly symmetrical object based on the symmetry width map data, and the information about the position of the central axis (in the image) of the highly symmetrical object, and identifies an area corresponding to the detected highly symmetrical object in the image. The object area detection unit 224 then outputs information about the identified image area corresponding to the highly symmetrical object in the image to the superimposing unit 23.
The superimposing unit 23 receives the image output from the image input unit 21, and the information identifying the image area corresponding to the detected highly symmetrical object in the image output from the object area detection unit 224 of the object detection unit 22. The superimposing unit 23 generates (superimposes) an image indicating the image area corresponding to the highly symmetrical object on the image output from the image input unit 21 based on the information about the image area corresponding to the detected highly symmetrical object output from the object area detection unit 224. The superimposing unit 23 generates (superimposes) an image of a rectangular frame indicating the image area corresponding to the highly symmetrical object on the image output from the image input unit 21. The superimposing unit 23 then outputs the resulting composite image to the display apparatus 3.
The display apparatus 3 receives the image output from the superimposing unit 23 of the object detection apparatus 2, and displays the image.
1.2 Operation of Object Detection System
The operation of the object detection system 1000 with the above-described structure will now be described with reference to the drawings.
FIG. 3 shows example images generated in the steps of object detection implemented by the object detection system 1000.
FIG. 4A shows a captured image 101 captured by the imaging apparatus 1 and input into the object detection apparatus 2.
As shown in FIG. 4A, the captured image 101 includes a vehicle 110 as a subject. The vehicle 110 includes right and left tail lamps 111R and 111L. The right and left tail lamps 111R and 111L are arranged symmetrical to each other with respect to a central axis 112 in the width direction of the vehicle 110.
In the example described below, the captured image 101 shown in FIG. 4A is captured by the imaging apparatus 1, and the captured image 101 is processed by the object detection apparatus 2.
The captured image 101 (an image signal forming the captured image 101) obtained by the imaging apparatus 1 is input into the image input unit 21 of the object detection apparatus 2. The captured image 101 is formed by the R-component signal, the G-component signal, and the B-component signal.
The image input unit 21 subjects the input captured image to color space conversion. More specifically, the image input unit 21 converts the RGB color space to, for example, the YCbCr color space to form the captured image 101. The R-component signal, the G-component signal, and the B-component signal are converted to the Y-component signal, the Cb-component signal, and the Cr-component signal.
The image input unit 21 outputs a Y-image (luminance image) formed by the Y-component signal (luminance signal) to the image feature quantity extraction unit 221 of the object detection unit 22. The image input unit 21 outputs the input captured image to the superimposing unit 23.
FIG. 4B shows a Y-image (luminance image) 102 obtained by the image input unit 21.
The color space conversion performed by the image input unit 21 should not be limited to the above-described process, but may be, for example, conversion from the RGB color space to another color space, such as the Lab color space and the YPbPr color space.
Alternatively, the luminance image 102 may be generated by using the G-signal of the RGB color space. For pixels having the R and B components, interpolation can generate the G signal.
The color space processing may be performed by using a memory (not shown) such as a frame memory that can store image signals.
The image feature quantity extraction unit 221 subjects the Y image (luminance image) 102 obtained by the image input unit 21 to the processing to calculate (extract) an image feature quantity. In the present embodiment, a physical quantity correlated with an edge component of luminance is used as an image feature quantity.
More specifically, the image feature quantity extraction unit 221 in the present embodiment subjects the luminance image 102 to an edge detection process to generate a feature-quantity extraction image (edge image) 103.
FIG. 4C shows a feature-quantity extraction image (edge image) 103 obtained by the image feature quantity extraction unit 221. The image feature quantity extraction unit 221 subjects the luminance image 102 to, for example, differential arithmetic processing (e.g., filtering using the Sobel filter) to generate the feature-quantity extraction image (edge image) 103.
Subsequently, the symmetry evaluation unit 222 evaluates the symmetry of the edge image 103 obtained by the image feature quantity extraction unit 221. A method for evaluating the symmetry will now be described.
1.2.1 Method for Evaluating Symmetry
The symmetry evaluation unit 222 evaluates the symmetry with respect to a target pixel Pi shown in FIG. 5. The target pixel Pi is a pixel included in the edge image 103. The target pixel Pi is at the coordinates (i, j) in the edge image 103. The pixel Px hereafter refers to a pixel at the coordinates (x, j) in the edge image 103. More specifically, the pixel Px is in the x-th row in the horizontal direction and in the j-th column in the vertical direction. In the formula, Pi is the pixel value of the pixel Px. In the present embodiment, Px is a value ranging from 0 to 255. The value Px is larger as the image feature quantity (edge component quantity in the present embodiment) is larger (the degree of the target image feature quantity is higher).
FIG. 5 shows w pixels (Pi−w to Pi−1), which are located left to the target pixel Pi, and w pixels (Pi+1 to Pi+w) (w is a natural number), which are located right to the target pixel P1. The arithmetic operation corresponding to Formula 7 is used to evaluate the symmetry of the (2w+1) pixels (Pi−w to Pi+w).




  
    
      
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In Formula 7, SYMw(i, j) is an evaluation value for the symmetry (symmetry evaluation value), and k is an integer ranging from 1 to w. In Formula 7, the above value Th is a predetermined threshold.
The function fi(k) is
(1) |Pi−k−Pi+k| when Pi+k>Th or P1+k>Th, and
(2) 255 (a maximum value of PX) in any other cases (specifically, when Pi−k≦Th and Pi+k≦Th).
Thus, when both the values Pi−k and Pi+k are equal to or less than the threshold Th, SYMw(i, j) is 0 (255−fi(k)=0). More specifically, through the processing written as the above formula (Formula 7), pixels with small image feature quantities (pixels having small pixel values (corresponding to image feature quantities) in the feature-quantity extraction image (edge image) 103) are excluded from the target pixels for symmetry evaluation.
The pixel Pi−k and the pixel Pi+k are at positions symmetrical to each other with respect to the target pixel Pi. When the pixel Pi−k and the pixels Pi+k have the same pixel value, and Pi−k>Th or Pi+k>Th, the difference between the pixels, or the value |Pi−k−Pi+k|, is a minimum value of 0. As a result, fi(k)=0. The value (255−fi(k)) is a maximum value of 255.
The evaluation value (255−fi(k)) is multiplied by a distance k from the target pixel (i, j), which is the number of pixels between the target pixel (i, j) and the pixel (i, j+k) (or the pixel (i, j−k)) (corresponding to the distance in the image). In this manner, the value (255−fi(k)) is weighted using position information indicating a horizontal position (information indicating the distance from the target pixel). More specifically, the symmetry evaluation value is weighted more for a pixel more distant from the target pixel in the horizontal direction. When image areas distant from the target pixel to the right and to the left have high symmetry (in the horizontal direction) (symmetry based on a target image feature quantity, or an edge component quantity in the present embodiment) with respect to the target pixel, the resulting symmetry evaluation value SYMw(i, j) would be large.
The symmetry evaluation unit 222 calculates the evaluation values SYMw(i, j) for each target pixel Pi by varying the width w. The symmetry evaluation unit 222 calculates the maximum value maxSYM of the evaluation values SYMw(i, j) for the target pixel Pi as given in Formula 8 below.

Formula 8

max SYM=max(SYM1(i,j),SYM2(i,j), . . . ,SYMN-1(i,j),SYMN(i,j))  (8)

In Formula 8, N is a maximum value of the width w. The maximum value N is i−1 when the row value i, which indicates the horizontal position of the target pixel, is H/2 or less, where H is the number of pixels in the horizontal direction of the edge image 103. The maximum value N is H−i when the row value i indicating the horizontal position of the target pixel is greater than H/2.
In Formula 8, max( ) is a function to return a maximum value of an element. The processing written as Formula 8 yields the maximum value maxSYM as a maximum one of the values SYM1(i, j) to SYMN(i, j).
The symmetry evaluation unit 222 obtains the width w that returns the maximum value maxSYM as the symmetry width wa. More specifically, the evaluation value SYMw(i, j) is the maximum value maxSYM when w=wa. The maximum value maxSYM can be written as the formula below using the symmetry width wa.

maxSYM=SYMwa(i,j)

The processing written as Formula 7 and Formula 8 above will now be described with reference to FIGS. 6A-6F. FIGS. 6A to 6F are schematic diagrams showing examples of feature-quantity extraction images, which are obtained by extracting feature quantities from a captured image of a horizontally symmetrical object having an axis C1 serving as the axis of symmetry. In FIGS. 6A to 6F, an area R1 is a target area for the calculation corresponding to Formula 7. For ease of explanation, each pixel included in white portions in FIGS. 6A to 6F is assumed to have an image feature quantity (pixel value) Px of 255, whereas each pixel included in black portions is assumed to have an image feature quantity Px of 0.
In FIGS. 6A to 6F, the proportion rw of pixels having an image feature quantity (pixel value) Px of 255 in the area R1 is calculated in the manner described below.
Further, (1) in the area R1, rb0 indicates the proportion of pixels having an image feature quantity (pixel value) Px of 0 in an area sandwiched between the area of pixels having an image feature quantity (pixel value) Px of 255 and the target pixel position (the position of the axis C1 in FIGS. 6A to 6F). (2) In the area R1, rb1 indicates the proportion of pixels having an image feature quantity (pixel value) Px of 0 in an area outside the area of pixels having an image feature quantity (pixel value) Px of 255. Here, rw+rb0+rb1=1.
In FIGS. 6A to 6F, the width w is determined in the manner described below.
In the example of FIG. 6A, rw=0.0, rb0=1.0, rb1=0.0, and w=10.
In the example of FIG. 6B, rw=0.2, rb0=0.8, rb1=0.0, and w=20.
In the example of FIG. 6C, rw=0.4, rb0=0.6, rb1=0.0, and w=30.
In the example of FIG. 6D, rw=0.6, rb0=0.4, rb1=0.0, and w=40.
In the example of FIG. 6E, rw=0.4, rb0=0.3, rb1=0.3, and w=50.
In the example of FIG. 6F, rw=0.3, rb0=0.2, rb1=0.5, and w=60.
In the example of FIG. 6A, each pixel included in the calculation target area R1 has an image feature quantity (pixel value) of 0. Thus, SYMw(i, j) is calculated as SYMw(i, j)=0 using Formula 7.
In the example of FIG. 6B, the proportion of pixels having an image feature quantity (pixel value) of 255 in the calculation target area R1 is 0.2. In this case, the value SYMw(i, j) is calculated in the manner described below using Formula 2.

SYMw(i,j)=[0.5×w^2−0.5×{(1−rw)×w}^2]×255/w=72×255/20=918.

In the example of FIG. 6C, the proportion of pixels having an image feature quantity (pixel value) of 255 in the calculation target area R1 is 0.4. Thus, the value of SYMw(i, j) is determined as described below using Formula 7.

SYMw(i,j)=[0.5×w^2−0.5×{(1−rw)×w}^2]×255/w=288×255/30=2448.

In the example of FIG. 6D the proportion of pixels having an image feature quantity (pixel value) of 255 in the calculation target area R1 is 0.6. Thus, the value of SYMw(i, j) is determined as described below using Formula 7.

SYMw(i,j)=[0.5×w^2−0.5×{(1−rw)×w}^2]×255/w=672×255/40=4284.

In the example of FIG. 6E, the proportion of pixels having an image feature quantity (pixel value) of 255 in the calculation target area R1 is 0.4. Thus, the value of SYMw(i, j) is determined as described below using Formula 7.

SYMw(i,j)=[0.5×rw×w×{rb0×w+(rb0+rw)×w}]×255/w=500×255/50=2550.

In the example of FIG. 6F, the proportion of pixels having an image feature quantity (pixel value) of 255 in the calculation target area R1 is 0.3. Thus, the value of SYMw(i, j) is determined as described below using Formula 7.

SYMw(i,j)=[0.5×rw×w×{rb0×w+(rb0+rw)×w}]×255/w=378×255/60=1606.5.

For the feature-quantity extraction images shown in FIGS. 6A to 6F described above, the weighting coefficient k that differs depending on the position increases as the area R1 is expanded in the manner shown in FIGS. 6A to 6D, and also the proportion of pixels having a pixel value of 255 increases accordingly. This causes the symmetry evaluation value SYMw(i, j) to increase monotonically.
When the area R1 is expanded in the manner shown in FIGS. 6D to 6F, the proportion of pixels having a pixel value of 255 decreases. This causes the symmetry evaluation value SYMw(i, j) to decrease monotonically.
The symmetry evaluation value SYMw(i, j) is a maximum value in the state shown in FIG. 6D. More specifically, with the SYMw(i, j) being a maximum value in the state shown in FIG. 6D, the evaluation value SYMw(i, j) in the state shown in FIG. 6D (=672×255) is the maximum value maxSYM, and the corresponding width w (w in the state shown in FIG. 6D) is used as the symmetry width wa. In processing the feature-quantity extraction images shown in FIGS. 6A to 6F, the symmetry evaluation unit 222 obtains the evaluation value SYMw(i, j) (=672×255) in the state shown in FIG. 6D as the value maxSYM. The symmetry evaluation unit 222 obtains the width w in this state (w in the state shown in FIG. 6D) as the symmetry width wa.
The symmetry evaluation unit 222 performs the processing written as Formulae 7 and 8 for each of all the target pixels for which symmetry is to be evaluated, and generates (obtains) (1) symmetry evaluation map data showing the correspondence between each processing target pixel and the corresponding value maxSYM (or a value correlated with the value maxSYM), and (2) symmetry width map data showing the correspondence between each processing target pixel and the corresponding symmetry width wa (the width w that returns the maximum value maxSYM) (or a value correlated with the symmetry width wa).
FIG. 4D shows a symmetry evaluation map image 104 obtained from the symmetry evaluation map data. The symmetry evaluation map image 104 is an image in which each pixel has the corresponding value maxSYM (or a value correlated with the value maxSYM) as its pixel value.
FIG. 4E shows a symmetry width map image 105 obtained from the symmetry width map data. The symmetry width map image 105 is an image in which each pixel has the corresponding symmetry width wa (the width w that returns the maximum value maxSYM) (or a value correlated with the symmetry width wa) as its pixel value.
In the present embodiment, the symmetry evaluation unit 222 uses each of all pixels forming the edge image 103 as a target pixel for which symmetry is to be evaluated (evaluation target pixel). In other words, the symmetry evaluation unit 222 calculates the value SYMw(i, j) for each of all pixels included in the edge image 103, and then calculates the corresponding maximum value maxSYM.
To reduce the arithmetic processing or to improve the processing speed, the symmetry evaluation unit 222 may use selected pixels in the edge image 103 (thinning of pixels) and perform the same processing as described above to obtain the symmetry evaluation map data and the symmetry width map data. For example, the symmetry evaluation unit 222 may use only pixels in odd-numbered lines or pixels in even-numbered lines in the horizontal (or vertical) direction as pixels for which symmetry is to be evaluated (evaluation target pixels). Alternatively, the symmetry evaluation unit 222 may use fewer pixels, or pixels selected at every three lines, as evaluation target pixels.
The symmetry evaluation map data is map data having the value maxSYM (or a value correlated with the value maxSYM) calculated for each evaluation target pixel as its map element. The symmetry evaluation map data can also be seen as an image in which each evaluation target pixel has its corresponding calculated maximum value maxSYM (or a value correlated with the value maxSYM) as the pixel value. FIG. 4D shows an image representing the symmetry evaluation map data (the symmetry evaluation map image 104). The symmetry evaluation unit 222 only needs to obtain the value maxSYM calculated for each evaluation target pixel (or a value correlated with the value maxSYM). The symmetry evaluation unit 222 may not obtain the image (the symmetry evaluation map image 104) in the format shown in FIG. 4D. The symmetry evaluation unit 222 only needs to obtain data showing the correspondence between each evaluation target pixel and its maximum value maxSYM.
The present embodiment uses each of all pixels forming the edge image 103 as an evaluation target pixel. In this case, the symmetry evaluation map image 104 is a grayscale image in which the pixel value of each of all the pixels of the edge image 103 is replaced with the corresponding value maxSYM (or a value correlated with the value maxSYM).
The symmetry evaluation value SYMw(i, j) calculated by Formula 7 above can be in different ranges depending on the width w. Although the symmetry evaluation map image 104 may use the maximum value maxSYM directly as the pixel value of each pixel, the symmetry evaluation map image 104 may be an image obtained through dynamic range conversion. More specifically, dynamic range conversion may be performed to adjust the range of values maxSYM, which is defined by a minimum value to a maximum value of the values maxSYM calculated for an input image of one frame, to, for example, the range of 0 to 255 (the 8-bit range) (the processing may be other processing, such as normalization, clipping to a predetermined value, or gain adjustment).
When the value SYMw(i, j) is adjusted to fall within the range of 0 to 255, each element of the symmetry evaluation map image 104 can have a value within the range of 0 to 255. In FIG. 4D, a color closer to white indicates a larger value SYMw(i, j) (a value closer to 255). More specifically, in FIG. 4D, a color closer to white represents an area evaluated to have high symmetry, indicating that the area is near the center of a symmetrical object. In FIG. 4D, a color closer to black represents an area having low symmetry. The dynamic range conversion described above is a mere example. Other dynamic range conversion may be performed to convert the value SYMw(i, j) into a range other than the range of 0 to 255.
The symmetry evaluation unit 222 generates (obtains) the symmetry width map data for all evaluation target pixels for which symmetry is to be evaluated.
The symmetry width map data is map data having the symmetry width wa that returns the maximum value maxSYM for each evaluation target pixel as its map element. The symmetry width map data can also be seen as an image in which each evaluation target pixel has the corresponding symmetry width wa as its pixel value. FIG. 4E shows an image representing the symmetry width map data (the symmetry width map image 105). The present embodiment uses each of all pixels forming the edge image 103 as an evaluation target pixel. In this case, the symmetry width map image 105 is a grayscale image in which the pixel value of each of all the pixels of the edge image 103 is replaced with the corresponding symmetry width wa.
As described above in the present embodiment, the symmetry width wa can be a value ranging from 1 to N. In this case, each element of the symmetry width map image 105 can be a value ranging from 1 to N. The value N differs depending on the pixel position. In FIG. 3E, a color closer to white indicates an area with a larger symmetry width wa. In FIG. 3E, a color closer to black indicates an area with a smaller symmetry width wa.
Subsequently, the center detection unit 223 refers to the symmetry evaluation map data (symmetry evaluation map image 104) generated by the symmetry evaluation unit 222, and generates symmetry center map data (symmetry center map image 106). The center detection unit 223 determines (estimates) a pixel corresponding to a maximum local point of the values maxSYM (or a group of pixels around the maximum local point) for each horizontal line in the symmetry evaluation map image 104.
FIG. 7 is a graph showing changes in the symmetry evaluation map image 104 in the horizontal direction. More specifically, FIG. 7 shows the changing values maxSYM for one horizontal line of the symmetry evaluation map image 104.
In FIG. 7, three pixels in rows 330 to 332 in the horizontal direction (i coordinates) (pixels at i=330, i=331, and i=332) have local maximum symmetry evaluation values (values maxSYM). In this case, the center detection unit 223 determines that three pixels at i=330, 331, and 332 correspond to a local maximum point (or an area around a local maximum point) of the symmetry evaluation values (values maxSYM) for one horizontal line shown in FIG. 7.
In the same manner, the center detection unit 223 identifies (estimates) an area (a pixel or a group of pixels) corresponding to a local maximum point (or an area around a local maximum point) for each of all horizontal lines. The area identified (estimated) by the center detection unit 223 is referred to as a “symmetry center pixel area.”
FIG. 4F shows a symmetry center map image 106 indicating a symmetry center pixel area identified (estimated) by the center detection unit 223. The symmetry center map image 106 is seen as an image in which, for example, a pixel determined to be within a symmetry center pixel area has an element (pixel value) of 1 and a pixel determined not to be within the symmetry center pixel area has an element (pixel value) of 0. In FIG. 4F, a white portion indicates a pixel determined to form the symmetry center pixel area.
The determination as to whether a processing target pixel (target pixel) forms the symmetry center pixel area may be accompanied by, for example, the processing described below.
(1) The pixel value of each pixel forming the symmetry evaluation map image 104 is compared with a predetermined threshold. The pixel is determined to be a candidate for a local maximum point only when the pixel value exceeds the threshold.
(2) The symmetry evaluation map image 104 is subjected to smoothing in the horizontal direction (a processing target horizontal line is subjected to smoothing). After smoothing, the resulting image is used to identify the position of the local maximum point (position in the horizontal direction).
This eliminates local maximum points resulting from minor variations, and thus yields a highly accurate symmetry center map image.
Subsequently, the object area detection unit 224 detects the horizontal width and the vertical width of a symmetrical object included in the input image.
The object area detection unit 224 detects the horizontal width of the object using the symmetry center map data (the symmetry center map image 106) and the symmetry width map data (the symmetry width map image 105).
More specifically, the object area detection unit 224 detects the horizontal width of an object through, for example, the processing (1) to (5) described below. For ease of explanation, a horizontal line including the first pixel having a pixel value of 1 in the symmetry center map image 106 is referred to as the j-th horizontal line.
(1) In the symmetry center map image 106, a pixel forming the central axis of a symmetrical object is given a pixel value of 1. Thus, the object area detection unit 224 extracts a pixel having a pixel value of 1 from the symmetry center map image 106, and obtains the symmetry width of the extracted pixel from the symmetry width map image 105.
(1A):
When a single pixel having a pixel value of 1 is detected in the horizontal direction (without a sequence of pixels being detected in the horizontal direction), the object area detection unit 224 extracts the symmetry width W(i, j) of the extracted single pixel having the pixel value of 1 (the pixel is at the coordinates (i, j)) from the symmetry width map data.
(1B):
When a plurality of pixels having a pixel value of 1 are sequentially detected in the horizontal direction, the average of the symmetry width values for the plurality of pixels (sequential pixels in the horizontal direction) is used as the symmetry width. In one example, three pixels at the coordinates (i−1, j), (i, j), and (i+1, j) each having a pixel value of 1 have the symmetry width values W(i−1, j), W(i, j), and W(i+1, j), respectively. In this case, the symmetry width W(i, j) can be calculated in the manner described below.

W(i,j)=AVRG(W(i−1,j),W(i,j),W(i+1,j)), or

W(i,j)=MAX(W(i−1,j),W(i,j),W(i+1,j)).

In these formulae, AVRG( ) is a function to return the average for an element, and MAX( ) is a function to return a maximum value of an element.
The symmetry width W(i, j) calculated for the j-th horizontal line through the processing (1A) or (1B) is referred to as W(i0, j).
(2) When, for example, the (j+1)th horizontal line includes a pixel having a pixel value of 1 substantially at the same position as the pixel extracted through the processing (1) in the horizontal direction (e.g., a pixel located at coordinates within the range of (i−a, j+1) to (i+a, j+1), where “a” is a predetermined threshold used to determine whether the positions in the horizontal direction are substantially the same), the symmetry width of the pixel is extracted from the symmetry width map data in the same manner as with the processing (1).
When the pixel (i1, j+1) has a pixel value of 1 (or the pixel is at the central position in the sequence of pixels having a pixel value of 1 in the horizontal line), the object area detection unit 224 calculates the symmetry width W(i1, j) of the pixel (i1, j+1) in the same manner as with the processing (1).
(3) For the (j+2)th and subsequent horizontal lines, the same processing as described above is repeated.
The above processing is repeated until the horizontal line includes no pixel having a pixel value of 1 substantially at the same position as the pixel extracted through the processing (1) in the horizontal direction (e.g., a pixel located at coordinates within the range of (i−a, j+1) to (i+a, j+1), where “a” is a predetermined threshold used to determine whether the horizontal positions are substantially the same).
(4) The object area detection unit 224 calculates a maximum value maxW of the symmetry width calculated through the processing (1) to (3) described above. More specifically, the object area detection unit 224 performs the processing written as Formula 9 below to calculate the maximum value maxW of the symmetry width.
In Formula 9, the j-th to (j+m−1)th horizontal lines each include a pixel having a pixel value of 1 at substantially the same position as the pixel extracted with the processing (1) in the horizontal direction (e.g., a pixel located at coordinates within the range of (i—a, j+1) to (i+a, j+1), where “a” is a predetermined threshold used to determine whether the horizontal positions are substantially the same).

Formula 9

maxW=max(W(i0,j),W(i1j+1), . . . ,W(im-2,j+m−2),W(im-1,j+m−1))  (9)

(5) The object area detection unit 224 detects the maximum value maxW of the calculated symmetry width values as the width of the object (the distance from the center of the object in the horizontal direction to one end of the object). In FIG. 4F, the symmetry width is at the maximum in the (j+k1)th horizontal line. In other words, maxW=W(ik1, j+k1) in this example.
The object area detection unit 224 detects the width of the object in the vertical direction using the width (length) of the symmetry center pixel area in the vertical direction. More specifically, the object area detection unit 224 identifies the upper end of symmetry center pixels arranged sequentially in the vertical direction as the upper end of the object, and identifies the lower end of the symmetry center pixels arranged sequentially in the vertical direction as the lower end of the object.
As shown in FIG. 4F, the object area detection unit 224 determines (identifies) an area R1 defined as a rectangular area with the upper left vertex at the coordinates (ik1−maxW, j) and the lower right vertex at the coordinates (ik1+maxW,j+m−1) as an image area corresponding to a highly symmetrical object when, for example, the upper end of symmetry center pixels arranged sequentially in the vertical direction is in the j-th horizontal line, the lower end of symmetry center pixels arranged sequentially in the vertical direction is in the (j+m−1)th horizontal line, and the central position of the pixels in the horizontal line corresponding to the value maxW(=W(ik1, j+k1)) is at the coordinates (ik1, j+k1).
The object area detection unit 224 outputs information indicating an image area corresponding to the identified object (the highly symmetrical object) (information identifying the area R1, or for example information indicating the coordinates of the rectangular area) to the superimposing unit 23.
Although the above embodiment describes the case in which the object area detection unit 224 identifies the image area corresponding to the highly symmetrical object using a rectangular area, the embodiment should not be limited to this structure. For example, the object area detection unit 224 may identify an image area corresponding to a highly symmetrical object based on a symmetry width extracted for each horizontal line from the symmetry width map data. In this case, the object area detection unit 224 identifies an area that extends to the right and to the left of the symmetry center pixel (the pixel included in the symmetry center pixel area) each by a length corresponding to the symmetry width for each horizontal line and determines the identified area as an image area corresponding to the highly symmetrical object. The resulting image area corresponding to the highly symmetrical object has substantially the same shape as the highly symmetrical object (e.g., the image area is shaped substantially in conformance with the contour of the vehicle 110 shown in FIG. 4A).
The superimposing unit 23 generates (superimposes) an image indicating an image area corresponding to the highly symmetrical object on the image output from the image input unit 21 (input image 101) based on information identifying an image area corresponding to the detected highly symmetrical object output from the object area detection unit 224. The superimposing unit 23 generates (superimposes) an image in which, for example, a rectangular frame indicating the image area corresponding to the highly symmetrical object appears on the image output from the image input unit 21. The superimposing unit 23 then outputs the resulting composite image to the display apparatus 3.
The display apparatus 3 displays the image indicating the image area corresponding to the highly symmetrical object output from the superimposing unit 23 of the object detection apparatus 2. FIG. 3G shows a composite image 107 in which the area frame 130 indicating the area of the vehicle 110, which is a symmetrical object, is superimposed on the input image 101. When the width of the object is determined for each horizontal direction line, the area frame would not be rectangular but would be shaped in conformance with the contour of the object (shaped substantially in conformance with the contour of the vehicle 110).
As described above, the object detection system 1000 of the present embodiment evaluates the symmetry of an image obtained by extracting an image feature quantity from the input image (captured image) by varying the width (width in the predetermined direction, which is for example the horizontal direction) to evaluate the symmetry of the image in the predetermined direction (horizontal direction). As a result, when the object detection system 1000 of the present embodiment determines that a predetermined image area has high symmetry, the object detection system 1000 can simultaneously obtain the width in the predetermined direction (horizontal direction) of the image area for which the symmetry is high. In other words, the object detection system 1000 of the present embodiment can extract the position and the size of an object at one time using the symmetry of the object included in the image.
The object detection system 1000 of the present embodiment can detect the central axis of a highly symmetrical object using evaluation data for symmetry in a predetermined direction (horizontal direction). The object detection system 1000 of the present embodiment can thus detect a highly symmetrical object with high accuracy using less arithmetic processing.
The object detection system 1000 of the present embodiment further obtains the symmetry evaluation value weighted using the distance from the target pixel (the central axis, or the symmetrical axis of the object), and performs the processing using the obtained symmetry evaluation value. Thus, the object detection system 1000 detects a highly symmetrical object located distant from the central axis (symmetrical axis) with high accuracy.
First Modification
A first modification of the present embodiment will now be described.
An object detection system and an object detection apparatus according to this modification have the same structure as the object detection system 1000 and the object detection apparatus 2 of the first embodiment.
The symmetry evaluation unit 222 included in the object detection apparatus of this modification performs the processing written as Formula 10 or 11 instead of Formula 1 described above. Except this processing, the modification is the same as the first embodiment.




  
    
      
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The symmetry evaluation unit 222 subjects the feature-quantity extraction image (edge image) 103 to the processing written as Formula 10 above. The processing written as Formula 10 includes weighting using the value (w−k). More specifically, an area closer to a target pixel in the feature-quantity extraction image (edge image) 103 is weighted with a larger value. The resulting symmetry evaluation value SYMw(i, j) would be large for an area closer to the target pixel and having higher symmetry in the horizontal direction.
The symmetry evaluation unit 222 may subject the feature-quantity extraction image (edge image) 103 to the processing written as Formula 11 below. The processing written as Formula 11 includes weighting using a function c(k) that decreases monotonically in a range of values k satisfying k≧a0 (a0 is a predetermined value satisfying a0≦w). More specifically, an area closer to a target pixel in the feature-quantity extraction image (edge image) 103 is weighted with a larger value. The resulting symmetry evaluation value SYMw(i, j) would be large for an area closer to the target pixel and having higher symmetry in the horizontal direction.




  
    
      
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The processing written as Formula 11 will now be described with reference to FIGS. 8A to 8B. FIGS. 8A to 8B are schematic diagrams of examples of feature-quantity extraction images. In the figure, each pixel included in a white portion has its maximum pixel value (image feature quantity) (e.g., 255 for 8-bit data). Each pixel included in a black portion has its minimum pixel value (image feature quantity) (e.g., 0 for 8-bit data). As shown in FIGS. 8A to 8B, the value a0 in Formula 11 is slightly larger than the value w1 (in FIGS. 8A to 8B).
When the horizontal position (i-coordinate) of the target pixel is on an axis C2, the symmetry evaluation value SYMw(i, j) of the pixel is a maximum value within the width w1 of the area R2 in the horizontal direction as shown in FIG. 8A. More specifically, an area BC has high horizontal symmetry near the axis C2 and thus pixels in the area BC are weighted with a large value c(k). The horizontal width w1 in the area R2 shown in FIG. 8A is used as the symmetry width wa (symmetry width w when the symmetry evaluation value SYMw(i, j) is a maximum value).
As shown in FIG. 8B, when the area R2 has a width w2 in the horizontal direction, pixels included in an area having a width w larger than a width a0 is weighted with a value c(k) that decreases monotonically with respect to the width w. Thus, the areas BL and BR are weighted by a small value c(k). In this case, the symmetry evaluation value SYMw(i, j) for the area R2 having a width w2 in the horizontal direction would be smaller than the symmetry evaluation value SYMw(i, j) for an area having the width w1 in the horizontal direction.
As described above, the symmetry evaluation unit 222 in the object detection system according to the present embodiment performs the processing written as Formula 11 to obtain the symmetry evaluation value SYMw(i, j), and further obtains the symmetry width wa that yields the maximum symmetry evaluation value SYMw(i, j).
When a plurality of width values w return the maximum symmetry evaluation value SYMw(i, j) in detecting a horizontally symmetrical area near the symmetrical axis (central axis), a maximum one of the plurality of width values w may be used as the symmetry width wa. When, for example, w sequential pixels return the maximum symmetry evaluation value SYMw(i, j) near the symmetrical axis (central axis), the symmetry width corresponding to the maximum one of the width values w is highly likely to be close to the width of a highly symmetrical object located near the symmetrical axis. When a plurality of values w return the maximum symmetry evaluation value SYMw(i, j) in detecting a horizontally symmetrical area near the symmetrical axis (central axis), a maximum one of the plurality of values w may thus be used as the symmetry width wa.
The center detection unit 223 and the object area detection unit 224 perform the same processing as described in the first embodiment to appropriately detect a highly symmetrical object (area) in the horizontal direction near the symmetrical axis. When, for example, the feature-quantity extraction image is an image shown in FIG. 9, the object detection system of the present modification appropriately detects a horizontally highly symmetrical object (area) BC near the symmetrical axis as a detected area DA1.
The weighting function c(k) that provides weighting in accordance with the distance on an image should not be limited to the function shown in Formula 11. The weighting function c(k) may be any other function.
For example, the weighting function c(k) that provides weighting in accordance with the distance on an image may be a monotonically decreasing function shown in each of FIGS. 10A and 10B (the function may include a range of values k in which the function c(k) returns a constant value). The weighting function c(k) that is a monotonically decreasing function enables a highly symmetrical object to be detected near the symmetrical axis. FIG. 10(a) 10A shows the processing written as Formula 11 in the present modification.
Alternatively, the weighting function c(k) that provides weighting in accordance with the distance on an image may be a monotonically decreasing function shown in each of FIGS. 10C and 10D (the function may include a range of values k in which the function c(k) returns a constant value). The weighting function c(k) that is a monotonically increasing function enables a highly symmetrical object to be detected in an area distant from the symmetrical axis. FIG. 10A shows the processing (processing when c(k)=k) written as Formula 7 in the first embodiment.
The weighting function c(k) that provides weighting in accordance with the distance on an image should not be limited to the above functions. For example, the weighting function c(k) for providing weighting in accordance with the distance on an image may be an exponent function, a sigmoid function, or a function expressing a line plot.
As described above, the object detection system of the present modification sets the weighting function c(k), which provides weighting in accordance with the distance on an image, as a monotonically decreasing function (the function may include a range in which values return by the function may not change monotonically) to enable a highly symmetrical object to be detected appropriately near the symmetrical axis.
Second Embodiment
A second embodiment will now be described.
An object detection system according to the present embodiment has the same structure as in the first embodiment. The present embodiment will be hereafter described focusing on its differences from the first embodiment. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
In the first embodiment, the image feature quantity extraction unit 221 uses an edge component as an image feature quantity of an object. The image feature quantity extraction unit 221 evaluates the symmetry using the edge component extracted as the image feature quantity.
In the second embodiment, the image feature quantity extraction unit 221 uses a specific color component as an image feature quantity of an object. For example, the image feature quantity extraction unit 221 extracts a red component as an image feature quantity.
The operation of the object detection system according to the present embodiment will now be described.
FIG. 11A shows example images generated in the steps of object detection implemented by the object detection system of the present embodiment.
In the present embodiment as well, the imaging apparatus 1 obtains the captured image 101 shown in FIG. 4A. The captured image 101 is then processed in the object detection apparatus 2.
The image input unit 21 converts image signals defined in the RGB color space (an R-component signal, a G-component signal, and a B-component signal), which are input from the imaging apparatus 1, into signals defined in the YCbCr color space (a Y-component signal, a Cb-component signal, and a Cr-component signal). The image input unit 21 outputs the Cr component signal (Cr-component image 202) to the image feature quantity extraction unit 221.
The image feature quantity extraction unit 221 subjects the Cr-component image (color difference red component image) 202, which is obtained by the image input unit 21, to processing for extracting an image feature quantity. In the present embodiment, a physical quantity correlated with the Cr component is used as the image feature quantity.
In the present embodiment, the image feature quantity extraction unit 221 subjects the Cr-component image 202 to processing for enhancing the Cr component (enhancement) to generate a feature-quantity extraction image (an R-component image, or a Cr-component enhanced image) 203.
The processing performed subsequently is the same as described in the first embodiment. The same processing is performed except that the edge image in the first embodiment is replaced with the R-component image to detect a symmetrical object.
More specifically, the symmetry evaluation unit 222 subjects the feature-quantity extraction image (the R-component image, or the Cr-component enhanced image) 203 shown in FIG. 1C to the same processing as in the first embodiment to obtain symmetry evaluation map data (corresponding to the symmetry evaluation map image 204 shown in FIG. 11D) and symmetry width map data (corresponding to the symmetry width map image 205 shown in FIG. 11E).
The center detection unit 223 subjects the symmetry evaluation map data (corresponding to the symmetry evaluation map image 204 shown in FIG. 11D) to the same processing as in the first embodiment to obtain symmetry center map data (corresponding to the symmetry center map image 206 shown in FIG. 11F).
The object area detection unit 224 subjects the symmetry center map data (corresponding to the symmetry center map image 206 shown in FIG. 11F) and the symmetry width map data (symmetry width map image 205) to the same processing as in the first embodiment to detect the width of the object in the horizontal direction, and to further detect the width of the object in the vertical direction.
In the same manner as in the first embodiment, the superimposing unit 23 generates (superimposes) an image indicating an image area corresponding to the highly symmetrical object on an image output from the image input unit 21 (an input image 101) based on information identifying an area corresponding to the detected highly symmetrical object in the image output from the object area detection unit 224.
The image generated (generated through superimposing) by the superimposing unit 23 is displayed by the display apparatus 3. FIG. 11G shows an example of an image (output image 207) obtained by the superimposing unit 23. As shown in FIG. 11G, an area (an image area 230) including red image portions at horizontally symmetrical positions is detected in an appropriate manner.
FIG. 11G shows the composite image 207 displayed by the display apparatus 3 in the second embodiment. In the first embodiment, the symmetry of an object is evaluated using the edge component, and thus the size of the entire vehicle is detected as the size of the object. Unlike this, the symmetry of an object is evaluated by focusing on the red color of the tail lamps of the vehicle in the second embodiment. Thus, an area including the tail lamps (an image area 230) is extracted.
As described above, the object detection system of the present embodiment evaluates symmetry in a predetermined direction (horizontal direction) in an image obtained by extracting an image feature quantity from an input image (captured image) (an image obtained by extracting a specific color component) by varying the width of the image (the width in the predetermined direction, which is the horizontal direction). When determining that a predetermined image area has high symmetry, the object detection system of the present embodiment can obtain the width of the image area determined to have high symmetry in the predetermined direction (horizontal direction) at the same time. In other words, the object detection system of the present embodiment can extract the position and the size of an object at one time using the symmetry of the object included in the image.
The object detection system of the present embodiment can detect the central axis of a highly symmetrical object using evaluation data for symmetry in a predetermined direction (horizontal direction). The object detection system of the present embodiment can thus detect a highly symmetrical object with high accuracy using less arithmetic processing. Further, the object detection system of the present embodiment uses an image obtained by extracting a specific color component, and can thus detect a highly symmetrical object containing a large quantity of specific color component with high accuracy.
The object detection system of the present embodiment obtains a symmetry evaluation value weighted in accordance with the distance from a target pixel (the central axis of an object, or specifically the symmetrical axis), and performs processing using the symmetry evaluation value. Thus, the object detection system can detect an object having high symmetry for a specific color component located distant from the central axis (symmetrical axis) with high accuracy.
The first embodiment and the second embodiment may be combined with each other. An edge image is used to determine the vertical width and position of an object and the horizontal width and position of the object. Further, a specific color component image is used to determine the vertical width and position of the object and the horizontal width and position of the object. The averages of the values obtained from these images are then used to identify the width and the position of the object. Alternatively, either the values obtained from the edge image or the values obtained from the color component image may be weighted, and the resulting values may be used to identify the position and the size of the object.
In the above embodiment, the processing focuses on the red component. The embodiment should not be limited to this example. The processing may focus on another color component (e.g., a green component or a blue component) to detect an object having high symmetry for the predetermined color.
The color space conversion for extracting an image feature quantity should not be limited to the conversion described in the above embodiment, but may be other color space conversion for extracting a signal of a specific color component to extract a predetermined color component signal (color component image).
First Modification
A first modification of the present embodiment will now be described.
An object detection system and an object detection apparatus according to the present modification have the same structure as the object detection system and the object detection apparatus of the first embodiment.
The object detection apparatus of the present modification includes a symmetry evaluation unit 222 that performs the processing written as Formula 10 or 11 instead of Formula 1, as in the modification of the first embodiment. As in the second embodiment, the object detection apparatus of the present modification includes an image feature quantity extraction unit 221 that uses a specific color component as an image feature quantity of an object. For example, the image feature quantity extraction unit 221 extracts a red component as an image feature quantity.
In the example described below, an image shown in FIG. 12 is input into the object detection system of the present modification.
FIG. 12(a) shows an image 301 obtained by capturing the back of a motorcycle. In the captured image (input image) 301, a tail lamp 311 of the motorcycle is red.
In the example described below, an image shown in FIG. 12A is input into the object detection system of the present modification.
FIG. 12A shows an image 301 obtained by capturing the back of a motorcycle. In the captured image (input image) 301, a tail lamp 311 of the motorcycle is red.
When the image shown in FIG. 12A is input into the object detection apparatus of the present modification, the image feature quantity extraction unit 221 included in an object detection unit 22 obtains a feature-quantity extraction image 302 shown in FIG. 12B, which is an R-component (Cr component) extraction image. In the feature-quantity extraction image 302 shown in FIG. 12B, which is an R-component (Cr component) extraction image, an area corresponding to the tail lamp 311 of the motorcycle is located close to an axis C3 and also includes pixels each having a large pixel value (image feature quantity, or red component quantity) corresponding to the tail lamp 311 of the motorcycle. The symmetry evaluation value SYMw(i, j) calculated by the symmetry evaluation unit 222 is a maximum value when the horizontal position (i-coordinate) of the target pixel is near the symmetrical axis. The corresponding symmetry width is the width w3 shown in FIG. 12B. In other words, the symmetry width wa (the symmetry width w that returns the maximum value of the symmetry evaluation value SYMw(i, j)) is the width w3.
The center detection unit 223 and the object area detection unit 224 in the present modification perform the same processing as described in the above embodiments to obtain an output image shown in FIG. 12C. In the output image shown in FIG. 12C, an area that is red and has high horizontal symmetry near the symmetrical axis (object) (a tail lamp portion of the motorcycle) is detected in an appropriate manner.
As described above, the object detection system of the present modification can appropriately detect a highly symmetrical area (object) near the symmetrical axis of a specific color component (red component in this modification) through the processing written as Formula 10 or 11 performed by the symmetry evaluation unit 222.
As described in the modification of the first embodiment, the weighting function c(k) that provides weighting in accordance with the distance on an image in the present modification is not limited to the function shown in Formula 11, but may be any other function (e.g., a function shown in each graph of FIGS. 10A to 10D).
Third Embodiment
A third embodiment will now be described.
An object detection system of the present embodiment has the same structure as in the first embodiment. The present embodiment will be described focusing on its differences from the first embodiment. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
A symmetry evaluation unit 222 of the present embodiment performs the processing written as Formula 12 instead of Formula 7.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        12
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              {
              
                
                  (
                  
                    255
                    -
                    
                      
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        -
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                      
                      
                    
                  
                  )
                
                *
                
                  P
                  
                    i
                    -
                    k
                  
                
                *
                
                  P
                  
                    i
                    +
                    k
                  
                
              
              }
            
          
        
      
    
    
      
        (
        12
        )
      
    
  




As in the above embodiments, SYMw(i, j) in Formula 12 indicates an evaluation value of symmetry, and k is an integer ranging from 1 to w.
The pixels Pi−k and P1+k are horizontally symmetrical to each other with respect to the target pixel Pi. When the pixels Pi−k and Pi+k have the same pixel value, the difference between the pixels, or the value |Pi−k−Pi+k|, is a minimum value of 0. In this case, the value (255−|Pi−k−Pi+k|) is a maximum value of 255.
The value (255−Pi−k−Pi+k|) is multiplied by the pixel values Pi−k and Pi+k. As a result, the value is weighted by the image feature quantity of pixels located distant from the target pixel Pi by k pixels to the right and to the left in the horizontal direction. This excludes pixels having small image feature quantities from the target pixels for symmetry evaluation. More specifically, when the feature-quantity extraction image is an edge image 103, the pixels Pi−k and Pi+k, which do not form edges in the edge image 103, have a value close to 0. For areas that do not form edges, the resulting value (255−|Pi−k−Pi+k|)×i−k×Pi+k would be close to 0.
In Formula 12, the evaluation value SYMw(i, j) is larger as the symmetry is higher for a target image feature quantity (e.g., an edge component quantity or a specific color component quantity, or for example a red component quantity).
The symmetry evaluation unit 222 in the present embodiment performs the processing written as Formula 8 as in the above embodiments to obtain the width w that returns the maximum value maxSYM as the symmetry width wa.
The center detection unit 223, the object area detection unit 224, and the superimposing unit 23 of the present embodiment perform the same processing as described above.
As described above, the object detection system of the present embodiment evaluates symmetry in a predetermined direction (horizontal direction) in an image obtained by extracting an image feature quantity from an input image (captured image) by varying the width of the image (the width in the predetermined direction (horizontal direction)). When determining that a predetermined image area has high symmetry, the object detection system of the present embodiment can obtain the width of the image area determined to have high symmetry in the predetermined direction (horizontal direction) at the same time. In other words, the object detection system of the present embodiment can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection system of the present embodiment can detect the central axis of a highly symmetrical object using evaluation data for symmetry in a predetermined direction (horizontal direction). The object detection system of the present embodiment can thus detect a highly symmetrical object with high accuracy using less arithmetic processing.
In the object detection system of the present embodiment, the image feature quantity extraction unit 221 may use, for example, an edge component as an image feature and may obtain an edge image by extracting an edge component from an input image. In this case, the object detection system of the present embodiment can obtain the same (similar) processing results as shown in FIG. 3.
In the object detection system of the present embodiment, the image feature quantity extraction unit 221 may obtain, for example, an image (e.g., a red component image, or an R-component image or a Cr-component image) by extracting a specific color component (e.g., a red component, or an R-component or a Cr-component) from an input image. In this case, the object detection system of the present embodiment obtains the same (similar) processing results as shown in FIG. 11A.
Fourth Embodiment
A fourth embodiment will now be described.
The structure of the object detection system according to the present embodiment is the same as in the above embodiments. The present embodiment will be described focusing on its differences from the above embodiments. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
The symmetry evaluation unit 222 in the present embodiment performs the processing written as Formula 13 below instead of Formula 7.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        13
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              {
              
                
                  (
                  
                    255
                    -
                    
                      
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        -
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                      
                      
                    
                  
                  )
                
                *
                
                  P
                  
                    i
                    -
                    k
                  
                
                *
                
                  P
                  
                    i
                    +
                    k
                  
                
                *
                k
              
              }
            
          
        
      
    
    
      
        (
        13
        )
      
    
  




As in the above embodiments, SYMw(i, j) in Formula 13 is an evaluation value for symmetry, and k is an integer ranging from 1 to w.
The pixels Pi−k and P1+k are horizontally symmetrical to each other with respect to the target pixel Pi. When the pixels Pi−k and Pi+k have the same pixel value, the difference between the pixels, or the value |Pi−k−Pi+k| is a minimum value of 0. In this case, the value (255−|Pi−k−Pi+k|) is a maximum value of 255.
The value (255−|P1−k−Pi+k|) is multiplied by the pixel values Pi−k and Pi+k. As a result, the value is weighted by the image feature quantity of pixels located distant from the target pixel Pi by k pixels to the right and to the left in the horizontal direction. This excludes pixels having small image feature quantities from the target pixels for symmetry evaluation. More specifically, when the feature-quantity extraction image is an edge image 103, the pixels Pi−k and Pi+k, which do not form edges in the edge image 103, have a value close to 0. For areas that do not form edges, the resulting value (255−|Pi−k−Pi+k|)×Pi−k×P1+k would be close to 0.
In Formula 13, the evaluation value SYMw(i, j) is larger as the symmetry is higher for a target image feature quantity (e.g., an edge component quantity or a specific color component quantity, or for example a red component quantity).
In Formula 13, the evaluation value is multiplied by a distance k, which is the number of pixels between the target pixel (i, j) and the pixels (i, j+k), or the pixel (i, j−k) (corresponding to the distance in the image). In this manner, the evaluation value is weighted using position information indicating a horizontal position (information indicating the distance from the target pixel). More specifically, the symmetry evaluation value is weighted more for a pixel more distant from the target pixel in the horizontal direction. When image areas distant from the target pixel to the right and to the left have high symmetry (in the horizontal direction) (symmetry based on a target image feature quantity, or an edge component quantity in the present embodiment) with respect to the target pixel, the resulting symmetry evaluation value SYMw(i, j) would be large.
More specifically, the symmetry evaluation unit 222 performs the processing written as Formula 13 to obtain the symmetry evaluation value SYMw(i, j) weighted using the image feature quantity (Pi−k and Pi+k) and the position information in the horizontal direction (information indicating the distance from the target pixel).
The symmetry evaluation unit 222 of the present embodiment performs the processing written as Formula 13 in the same manner as in the above embodiments, and obtains the width w that returns the maximum value maxSYM as the symmetry width wa.
The center detection unit 223, the object area detection unit 224, and the superimposing unit 23 of the present embodiment perform the same processing as described above.
As described above, the object detection system of the present embodiment evaluates symmetry in a predetermined direction (horizontal direction) in an image obtained by extracting an image feature quantity from an input image (captured image) by varying the width of the image in the predetermined direction (horizontal direction). When determining that a predetermined image area has high symmetry, the object detection system of the present embodiment can obtain the width of the image area determined to have high symmetry in the predetermined direction (horizontal direction) at the same time. In other words, the object detection system of the present embodiment can extract the position and the size of an object included in an image at one time using the symmetry of the object.
The object detection system of the present embodiment can detect the central axis of a highly symmetrical object using evaluation data for symmetry in a predetermined direction (horizontal direction). The object detection system of the present embodiment can thus detect a highly symmetrical object with high accuracy using less arithmetic processing.
The object detection system of the present embodiment obtains a symmetry evaluation value weighted in accordance with the distance from a target pixel (the central axis of an object, or specifically the symmetrical axis), and performs processing using the symmetry evaluation value. Thus, the object detection system can detect an object having highly symmetry for a specific color component located distant from the central axis (symmetrical axis) with high accuracy.
In the object detection system of the present embodiment, the image feature quantity extraction unit 221 may use, for example, an edge component as an image feature quantity and may obtain an edge image by extracting an edge component from an input image. In this case, the object detection system of the present embodiment obtains the same (similar) processing results as shown in FIG. 3.
In the object detection system of the present embodiment, the image feature quantity extraction unit 221 may obtain, for example, an image (e.g., a red component image, or an R-component image or a Cr-component image) by extracting a specific color component (e.g., a red component, or an R-component or a Cr-component) from an input image. In this case, the object detection system of the present embodiment obtains the same (similar) processing results as shown in FIG. 11A.
First Modification
A first modification of the fourth embodiment will now be described.
The object detection system according to the present modification has the same structure as described in the above embodiments. The present embodiment will be described focusing on its differences from the above embodiments. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
A symmetry evaluation unit 222 of the present modification performs the processing written as Formula 13 instead of Formula 14. Although the weighting performed in accordance with the position (distance) uses the value k in Formula 13, the weighting performed in accordance with the position (distance) uses a function of k, or a function c(k) in Formula 14.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        14
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              {
              
                
                  (
                  
                    255
                    -
                    
                      
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        -
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                      
                      
                    
                  
                  )
                
                *
                
                  P
                  
                    i
                    -
                    k
                  
                
                *
                
                  P
                  
                    i
                    +
                    k
                  
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              }
            
          
        
      
    
    
      
        (
        14
        )
      
    
  




In this modification, the function c(k) may be set as a predetermined function (e.g., each function shown in FIGS. 10A to 10D) to flexibly change the weighting of the symmetry evaluation value for an area located distant from the symmetrical axis by a predetermined distance.
To detect, for example, an area having high symmetry near the central axis (symmetrical axis), the function c(k) is set as follows:

c(k)=w−k 

Alternatively, the function may be set as Formula 15 below.




  
    
      
        Formula
        ⁢
        
          
        
        ⁢
        15
      
    
    
      
        
      
    
  
  
    
      
        
          c
          ⁡
          
            (
            k
            )
          
        
        =
        
          {
          
            
              
                w
              
              
                
                  if
                  ⁢
                  
                    
                  
                  ⁢
                  
                    (
                    
                      k
                      <
                      
                        a
                        ⁢
                        
                          
                        
                        ⁢
                        0
                      
                    
                    )
                  
                
              
            
            
              
                
                  
                    
                      
                        -
                        w
                      
                      
                        w
                        -
                        
                          a
                          ⁢
                          
                            
                          
                          ⁢
                          0
                        
                      
                    
                    ⁢
                    
                      (
                      
                        k
                        -
                        
                          a
                          ⁢
                          
                            
                          
                          ⁢
                          0
                        
                      
                      )
                    
                  
                  +
                  w
                
              
              
                else
              
            
          
          }
        
      
    
    
      
        (
        15
        )
      
    
  




As described above, the object detection system of the present modification can appropriately detect a highly symmetrical area (object) in a predetermined area (an area distant from the symmetrical axis by a predetermined distance) through the processing written as Formula 14 performed by the symmetry evaluation unit 222.
As described in the modification of the first embodiment, the weighting function c(k) that provides weighting in accordance with the distance on an image in the present modification is not limited to the function shown above, but may be any other function (e.g., a function shown in each graph of FIGS. 10A to 10D).
Fifth Embodiment 
A fifth embodiment will now be described.
The structure of the object detection system according to the present embodiment is the same as in the above embodiments. The present embodiment will be described focusing on its differences from the above embodiments. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
A symmetry evaluation unit 222 in the present embodiment performs the processing written as Formula 16 below instead of Formula 14. In Formula 14, an area in an image for which a symmetry evaluation value is to be calculated includes a single horizontal line. In Formula 16, an area in an image for which a symmetry evaluation value is to be calculated includes 2n+1 horizontal lines (2n+1 horizontal lines including the central horizontal line with a target pixel) (where n is a natural number).
More specifically, the symmetry evaluation unit 222 of the present embodiment calculates a symmetry evaluation value for each of the 2n+1 horizontal lines using Formula 16. The symmetry evaluation unit 222 accumulates the symmetry evaluation values calculated for the horizontal lines, and divides the accumulated value by the number of horizontal lines to obtain the average. The symmetry evaluation unit 222 uses the obtained average as the symmetry evaluation value SYMw(i, j) of the target pixel (i, j).




  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          16
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            
              
                2
                ⁢
                
                  
                
                ⁢
                n
              
              +
              1
            
          
          ⁢
          
            
              ∑
              
                m
                =
                
                  j
                  -
                  n
                
              
              
                j
                +
                n
              
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  1
                  w
                
                *
                
                  
                    ∑
                    
                      k
                      =
                      1
                    
                    w
                  
                  ⁢
                  
                    
                  
                  ⁢
                  
                    {
                    
                      
                        (
                        
                          255
                          -
                          
                            
                            
                              
                                P
                                
                                  
                                    i
                                    -
                                    k
                                  
                                  ,
                                  m
                                
                              
                              -
                              
                                P
                                
                                  
                                    i
                                    +
                                    k
                                  
                                  ,
                                  m
                                
                              
                            
                            
                          
                        
                        )
                      
                      *
                      
                        P
                        
                          
                            i
                            -
                            k
                          
                          ,
                          m
                        
                      
                      *
                      
                        P
                        
                          
                            i
                            +
                            k
                          
                          ,
                          m
                        
                      
                      *
                      
                        c
                        ⁡
                        
                          (
                          k
                          )
                        
                      
                    
                    }
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        16
        )
      
    
  




In Formula 16, c(k) is a function.
To detect, for example, a highly symmetrical area in an image located distant from the central axis (symmetrical axis), the function c(k) is set as follows:

c(k)=k 

The function c(k) may be set as a function shown in FIG. 10D.
To detect, for example, a highly symmetrical area in an image located near the central axis (symmetrical axis), the function c(k) is set as follows:

c(k)=w−k 

The function c(k) may be set as a function shown in each of FIGS. 10A and 10B.

As written in Formula 16, the symmetry evaluation unit 222 calculates a symmetry evaluation value by setting the vertical width of a target area for which a symmetry evaluation value is to be calculated as the width corresponding to the 2n+1 horizontal lines in total, which includes n lines located above the horizontal line including the target pixel and n lines located below the horizontal line including the target pixel. When the target pixel is around the upper end or the lower end of an image, and fewer than n lines are above the horizontal line including the target pixel or fewer than n lines are below the horizontal line including the target pixel, the width of the target area for which a symmetry evaluation value is to be calculated in the vertical direction may be changed. When, for example, the target pixel is close to the upper end, and n1 lines (n1<n) (from the upper end of the image) are above the horizontal line including the target pixel, an area including (n1+n+1) lines from the (j−n1)th line to the (j+n)th line may be set as the target area for which a symmetry evaluation value is to be calculated.
The symmetry evaluation unit 222 of the present embodiment performs the processing written as Formula 16 in the same manner as in the above embodiments, and obtains the width w that returns the maximum value maxSYM as the symmetry width wa.
The center detection unit 223, the object area detection unit 224, and the superimposing unit 23 in the present embodiment performs the same processing as described above.
As described above, the symmetry evaluation unit 222 of the present embodiment calculates a symmetry evaluation value for each of the 2n+1 horizontal lines using Formula 16. The symmetry evaluation unit 222 then accumulates the symmetry evaluation values calculated for the horizontal lines, and divides the accumulated value by the number of horizontal lines to obtain the average. The symmetry evaluation unit 222 uses the obtained average as the symmetry evaluation value SYMw(i, j) of the target pixel (i, j). In other words, the object detection system of the present embodiment uses an image area having a predetermined width in the vertical direction as a target for symmetry evaluation, and thus detects an area having highly correlation in the vertical direction (e.g., a rectangular object having sides parallel to the symmetrical axis or the central axis) with high accuracy.
The symmetry evaluation unit 222 may use Formula 17 instead of Formula 16 to calculate the symmetry evaluation value SYMw(i, j). The function c(k) is the same as in Formula 16.




  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          17
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  
                    
                      
                        (
                        
                          255
                          -
                          
                            
                              1
                              
                                
                                  2
                                  ⁢
                                  
                                    
                                  
                                  ⁢
                                  n
                                
                                +
                                1
                              
                            
                            ⁢
                            
                              
                              
                                
                                  
                                    ∑
                                    
                                      m
                                      =
                                      
                                        j
                                        -
                                        n
                                      
                                    
                                    
                                      j
                                      +
                                      n
                                    
                                  
                                  ⁢
                                  
                                    
                                  
                                  ⁢
                                  
                                    P
                                    
                                      
                                        i
                                        -
                                        k
                                      
                                      ,
                                      m
                                    
                                  
                                
                                -
                                
                                  
                                    ∑
                                    
                                      m
                                      =
                                      
                                        j
                                        -
                                        n
                                      
                                    
                                    
                                      j
                                      +
                                      n
                                    
                                  
                                  ⁢
                                  
                                    
                                  
                                  ⁢
                                  
                                    P
                                    
                                      
                                        i
                                        +
                                        k
                                      
                                      ,
                                      m
                                    
                                  
                                
                              
                              
                            
                          
                        
                        )
                      
                      *
                    
                  
                
                
                  
                    
                      
                        (
                        
                          
                            1
                            
                              
                                2
                                ⁢
                                
                                  
                                
                                ⁢
                                n
                              
                              +
                              1
                            
                          
                          ⁢
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  -
                                  k
                                
                                ,
                                m
                              
                            
                          
                        
                        )
                      
                      *
                      
                        (
                        
                          
                            1
                            
                              
                                2
                                ⁢
                                
                                  
                                
                                ⁢
                                n
                              
                              +
                              1
                            
                          
                          ⁢
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  +
                                  k
                                
                                ,
                                m
                              
                            
                          
                        
                        )
                      
                      *
                      
                        c
                        ⁡
                        
                          (
                          k
                          )
                        
                      
                    
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        17
        )
      
    
  




In the processing written as Formula 16, the symmetry evaluation unit 222 first evaluates symmetry in the horizontal direction, and then accumulates the symmetry evaluation values in the vertical direction and calculates the average of the accumulated values to obtain the symmetry evaluation value SYMw(i, j) of the target pixel (i, j).
In the processing in Formula 17, the symmetry evaluation unit 222 first performs the processing of accumulating values of each term of Formula 17 in the vertical direction (average value calculation), and then evaluates symmetry in the horizontal direction to calculate the symmetry evaluation value SYMw(i, j) of the target pixel (i, j).
The symmetry evaluation unit 222 performs the processing written as Formula 17 to obtain the same processing results as obtained through the processing written as Formula 16.
First Modification
A first modification of the fifth embodiment will now be described.
The object detection system according to the present modification has the same structure as described in the above embodiment. The present embodiment will be described focusing on its differences from the above embodiments. The components that are the same as in the above embodiments are given the same reference numerals as those embodiments and will not be described in detail.
A symmetry evaluation unit 222 of the present modification performs the processing written as Formula 14 below instead of Formula 16. Although the weighting in the vertical direction is performed using a value of 1 (without weighting) for each of all the horizontal lines in the processing written as Formula 16, the weighting is performed for each horizontal line using a weighting function d(m), which provides weighting in accordance with the function d(m) in the processing written as Formula 14. The function c(k) is the same as in Formula 16.




  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          18
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            
              
                2
                ⁢
                
                  
                
                ⁢
                n
              
              +
              1
            
          
          ⁢
          
            
              ∑
              
                m
                =
                
                  j
                  -
                  n
                
              
              
                j
                +
                n
              
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  d
                  ⁡
                  
                    (
                    m
                    )
                  
                
                *
                
                  1
                  w
                
                ⁢
                
                  
                    ∑
                    
                      k
                      =
                      1
                    
                    w
                  
                  ⁢
                  
                    
                  
                  ⁢
                  
                    {
                    
                      
                        
                          
                            
                              (
                              
                                255
                                -
                                
                                  
                                  
                                    
                                      P
                                      
                                        
                                          i
                                          -
                                          k
                                        
                                        ,
                                        m
                                      
                                    
                                    -
                                    
                                      P
                                      
                                        
                                          i
                                          +
                                          k
                                        
                                        ,
                                        m
                                      
                                    
                                  
                                  
                                
                              
                              )
                            
                            *
                          
                        
                      
                      
                        
                          
                            
                              P
                              
                                
                                  i
                                  -
                                  k
                                
                                ,
                                m
                              
                            
                            *
                            
                              P
                              
                                
                                  i
                                  +
                                  k
                                
                                ,
                                m
                              
                            
                            *
                            
                              c
                              ⁡
                              
                                (
                                k
                                )
                              
                            
                          
                        
                      
                    
                    }
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        18
        )
      
    
  




For example, d(m)=n+1−|m−j|, or d(m)=c1×exp(−c2×(m−j)^2), where c1 is a coefficient to determine the maximum value of d(m), and c2 is a coefficient used for range adjustment in the vertical direction. Through this processing, pixels in the horizontal line including the target pixel (i, j) are weighted using a larger value, and pixels in lines more distant from the horizontal line including the target pixel (i, j) are weighted using a smaller value.
As a result, the symmetry evaluation value is calculated to be larger for an area having high horizontal symmetry around a horizontal line including a target pixel (i, j).
The symmetry evaluation unit 222 may use Formula 19 instead of Formula 14 to calculate the symmetry evaluation value SYMw(i, j). The function c(k) is the same as in Formula 14.




  
    
      
        
          
        
        ⁢
        
          Formula
          ⁢
          
            
          
          ⁢
          19
        
      
    
    
      
        
      
    
  
  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  (
                  
                    255
                    -
                    
                      
                        1
                        
                          
                            2
                            ⁢
                            
                              
                            
                            ⁢
                            n
                          
                          +
                          1
                        
                      
                      ⁢
                      
                        
                        
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              
                                d
                                ⁡
                                
                                  (
                                  m
                                  )
                                
                              
                              *
                              
                                P
                                
                                  
                                    i
                                    -
                                    k
                                  
                                  ,
                                  m
                                
                              
                            
                          
                          -
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              
                                d
                                ⁡
                                
                                  (
                                  m
                                  )
                                
                              
                              *
                              
                                P
                                
                                  
                                    i
                                    +
                                    k
                                  
                                  ,
                                  m
                                
                              
                            
                          
                        
                        
                      
                    
                  
                  )
                
                *
                
                  {
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          
                            
                          
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        
                      
                      ⁢
                      
                        (
                        
                          
                            d
                            ⁡
                            
                              (
                              m
                              )
                            
                          
                          *
                          
                            P
                            
                              
                                i
                                -
                                k
                              
                              ,
                              m
                            
                          
                        
                        )
                      
                    
                  
                  }
                
                *
                
                  {
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          
                            
                          
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        
                      
                      ⁢
                      
                        (
                        
                          
                            d
                            ⁡
                            
                              (
                              m
                              )
                            
                          
                          *
                          
                            P
                            
                              
                                i
                                +
                                k
                              
                              ,
                              m
                            
                          
                        
                        )
                      
                    
                  
                  }
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        19
        )
      
    
  




In the processing written as Formula 14, the symmetry evaluation unit 222 first evaluates symmetry in the horizontal direction, and then accumulates the symmetry evaluation values in the vertical direction and calculates the average of the accumulated values to obtain the symmetry evaluation value SYMw(i, j) of the target pixel (i, j).
In the processing written as Formula 15, the symmetry evaluation unit 222 first performs the processing of accumulating values of each term of Formula 15 in the vertical direction (average value calculation), and then evaluates symmetry in the horizontal direction to calculate the symmetry evaluation value SYMw(i, j) of the target pixel (i, j).
The symmetry evaluation unit 222 performs the processing written as Formula 15 to obtain the same processing results as obtained through the processing written as Formula 18.
Other Embodiments
Some or all of the above embodiments and modifications may be combined.
In the above embodiments, an object having symmetry in the horizontal direction is detected. In the same manner, an object having symmetry in the vertical direction may also be detected. More specifically, the processing described in the above embodiments may be performed by reversing the direction of processing between the horizontal and vertical directions in the above embodiments to detect an object having symmetry in the vertical direction.
Some or all of the functional units of the object detection apparatus 2 according to the above embodiments may use a shared memory (e.g., a frame memory) in their processing.
When the imaging apparatus included in the object detection system of each of the above embodiments captures a color image at a predetermined frame rate (e.g., 15 fps), the shared memory preferably has a capacity that allows the object detection apparatus to process the color image at the predetermined frame rate (e.g., 15 fps).
The above embodiments describe the processing to be performed on 8-bit data (data of 0 to 255) (e.g., the processing written as the formulae), the number of bits of data to be processed should not be limited to the number of bits (the possible range of data) described above. In the above embodiments, the data may be processed into a predetermined range of data through, for example, range conversion, normalization, or clipping using a predetermined threshold.
Each block of the object detection system or the object detection apparatus described in the above embodiments may be formed using a single chip with a semiconductor device (an integrated circuit or a field programmable gate array (FPGA)), such as an LSI (large-scale integration) device, or some or all of the blocks of the object detection system and the object detection apparatus may be formed using a single chip. Each block of the object detection system or the object detection apparatus described in the above embodiments may be formed using a plurality of chips (semiconductor devices such as LSI devices)
All or part of the processes performed by the functional blocks described in the above embodiments may be implemented using programs. All or part of the processes performed by the functional blocks described in the above embodiments may be implemented by a central processing unit (CPU) in a computer. The programs for these processes may be stored in a storage device, such as a hard disk or a ROM, and may be executed from the ROM or be read into a RAM and then executed.
The processes described in the above embodiments may be implemented by using either hardware or software (including use of an operating system (OS), middleware, or a predetermined library), or may be implemented using both software and hardware. When the object detection system and the object detection apparatus of the above embodiments are implemented by hardware, the object detection system and the object detection apparatus need timing adjustment for their processes. For ease of explanation, the timing adjustment associated with various signals used in an actual hardware design is not described in detail in the above embodiments.
The processes described in the above embodiments may not be performed in the order specified in the above embodiments. The order in which the processes are performed may be changed without departing from the scope and the spirit of the invention.
The present invention may also include a computer program enabling a computer to implement the method described in the above embodiments and a computer readable recording medium on which such a program is recorded. The computer readable recording medium may be, for example, a flexible disk, a hard disk, a CD-ROM, an MO, a DVD, a DVD-ROM, a DVD-RAM, a Blu-ray disc (registered trademark), or a semiconductor memory.
The computer program may not be recorded on the recording medium but may be transmitted with an electric communication line, a radio or cable communication line, or a network such as the Internet.
The specific structures described in the above embodiments are mere examples of the present invention, and may be changed and modified variously without departing from the scope and the spirit of the invention.
REFERENCE SIGNS LIST


    1000 object detection system
    1 imaging apparatus
    2 object detection apparatus
    3 display apparatus (monitor)
    21 image input unit
    22 object detection unit
    23 superimposing unit
    221 image feature quantity extraction unit
    222 symmetry evaluation unit
    223 center detection unit
    224 object area detection unit
    23 superimposing unit

## Claims

1. An object detection apparatus, comprising:
an image input unit including circuitry configured to receive an image;
an image feature quantity extraction unit configured to extract a predetermined image feature quantity from the image to generate a feature-quantity extraction image; and
a symmetry evaluation unit configured to set, for every processing target pixel in the feature-quantity extraction image, a symmetry evaluation area for evaluating symmetry in a first direction in the image in such a manner that the symmetry evaluation area is symmetrical with respect to a central axis that is a predetermined axis in a second direction orthogonal to the first direction, and calculates a weighted value resulting from weighting a value indicating a correlation value based on a distance of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis from the central axis, the correlation value indicating a correlation between image feature quantities of the group of pixels, while varying a size of the symmetry evaluation area to obtain a symmetry evaluation value indicating a degree of the symmetry in the first direction
so as to provide enhanced detection accuracy of a symmetrical object in the image.

2. The object detection apparatus according to claim 1, wherein
the symmetry evaluation unit determines a width of the first-direction symmetry based on the size of the symmetry evaluation area corresponding to the symmetry evaluation value indicating the highest symmetry in the first direction.

3. The object detection apparatus according to claim 1, wherein
the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using the formula below:





  
    
      
        
          
            
              SYM
              w
            
            ⁡
            
              (
              
                i
                ,
                j
              
              )
            
          
          =
          
            
              1
              w
            
            ⁢
            
              
                ∑
                
                  k
                  =
                  1
                
                w
              
              ⁢
              
                
              
              ⁢
              
                {
                
                  
                    (
                    
                      
                        P
                        ⁢
                        
                          
                        
                        ⁢
                        max
                      
                      -
                      
                        
                          f
                          i
                        
                        ⁡
                        
                          (
                          k
                          )
                        
                      
                    
                    )
                  
                  *
                  
                    c
                    ⁡
                    
                      (
                      k
                      )
                    
                  
                
                }
              
            
          
        
        ⁢
        
          

        
        ⁢
        
          
            
              f
              i
            
            ⁡
            
              (
              k
              )
            
          
          =
          
            {
            
              
                
                  
                    
                    
                      
                        P
                        
                          i
                          -
                          k
                        
                      
                      -
                      
                        P
                        
                          i
                          +
                          k
                        
                      
                    
                    
                  
                
                
                  
                    if
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                    ⁢
                    
                      
                    
                    ⁢
                    or
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                  
                
              
              
                
                  
                    P
                    ⁢
                    
                      
                    
                    ⁢
                    max
                  
                
                
                  else
                
              
            
            }
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          3
        
        )
      
    
  




while varying a value of 2w+1, where w is a natural number, and
where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.

4. The object detection apparatus according to claim 3, wherein
the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).

5. The object detection apparatus according to claim 3, wherein
the weighting function c(k) is a monotonically increasing function of k.

6. The object detection apparatus according to claim 3, wherein
the symmetry evaluation unit calculates a weighted value resulting from weighting a value indicating a correlation between image feature quantities of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis based on a distance from the central axis to the group of pixels and an image feature quantity on the group of pixels to obtain a symmetry evaluation value indicating a degree of the first-direction symmetry.

7. The object detection apparatus according to claim 6, wherein
the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using the formula below:





  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              {
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        -
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                      
                      
                    
                  
                  )
                
                *
                
                  P
                  
                    i
                    -
                    k
                  
                
                *
                
                  P
                  
                    i
                    +
                    k
                  
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              }
            
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          6
        
        )
      
    
  




while varying a value of 2w+1, where w is a natural number, and
where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.

8. The object detection apparatus according to claim 7, wherein
the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).

9. The object detection apparatus according to claim 1, wherein
the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using the formula below:





  
    
      
        
          
            
              SYM
              w
            
            ⁡
            
              (
              
                i
                ,
                j
              
              )
            
          
          =
          
            
              1
              
                
                  2
                  ⁢
                  
                    
                  
                  ⁢
                  n
                
                +
                1
              
            
            ⁢
            
              
                ∑
                
                  m
                  =
                  
                    j
                    -
                    n
                  
                
                
                  j
                  +
                  n
                
              
              ⁢
              
                
              
              ⁢
              
                [
                
                  
                    1
                    w
                  
                  *
                  
                    
                      ∑
                      
                        k
                        =
                        1
                      
                      w
                    
                    ⁢
                    
                      
                    
                    ⁢
                    
                      {
                      
                        
                          (
                          
                            
                              P
                              ⁢
                              
                                
                              
                              ⁢
                              max
                            
                            -
                            
                              
                                f
                                i
                              
                              ⁡
                              
                                (
                                k
                                )
                              
                            
                          
                          )
                        
                        *
                        
                          c
                          ⁡
                          
                            (
                            k
                            )
                          
                        
                      
                      }
                    
                  
                
                ]
              
            
          
        
        ⁢
        
          

        
        ⁢
        
          
        
        ⁢
        
          
            
              f
              i
            
            ⁡
            
              (
              k
              )
            
          
          =
          
            {
            
              
                
                  
                    
                    
                      
                        P
                        
                          i
                          -
                          k
                        
                      
                      -
                      
                        P
                        
                          i
                          +
                          k
                        
                      
                    
                    
                  
                
                
                  
                    if
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            -
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                    ⁢
                    
                      
                    
                    ⁢
                    or
                    ⁢
                    
                      
                    
                    ⁢
                    
                      (
                      
                        
                          P
                          
                            i
                            +
                            k
                          
                        
                        >
                        Th
                      
                      )
                    
                  
                
              
              
                
                  
                    P
                    ⁢
                    
                      
                    
                    ⁢
                    max
                  
                
                
                  else
                
              
            
            }
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          8
          ⁢
          
            -
          
          ⁢
          1
        
        )
      
    
  




or using the formula below:




  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                        1
                        
                          
                            2
                            ⁢
                            
                              
                            
                            ⁢
                            n
                          
                          +
                          1
                        
                      
                      ⁢
                      
                        
                          ∑
                          
                            m
                            =
                            
                              j
                              -
                              n
                            
                          
                          
                            j
                            +
                            n
                          
                        
                        ⁢
                        
                          
                        
                        ⁢
                        
                          
                            f
                            i
                          
                          ⁡
                          
                            (
                            k
                            )
                          
                        
                      
                    
                  
                  )
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          8
          ⁢
          
            -
          
          ⁢
          2
        
        )
      
    
  




while varying a value of 2w+1, where w is a natural number, and
where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, and Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, 2n+1 is a width of the symmetry evaluation area in the second direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.

10. The object detection apparatus according to claim 9, wherein
the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).

11. The object detection apparatus according to claim 1, wherein
the symmetry evaluation unit calculates the symmetry evaluation value for the target pixel using the formula below:





  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            
              
                2
                ⁢
                
                  
                
                ⁢
                n
              
              +
              1
            
          
          ⁢
          
            
              ∑
              
                m
                =
                
                  j
                  -
                  n
                
              
              
                j
                +
                n
              
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  1
                  w
                
                *
                
                  
                    ∑
                    
                      k
                      =
                      1
                    
                    w
                  
                  ⁢
                  
                    
                  
                  ⁢
                  
                    {
                    
                      
                        
                          
                            
                              (
                              
                                
                                  P
                                  ⁢
                                  
                                    
                                  
                                  ⁢
                                  max
                                
                                -
                                
                                  
                                  
                                    
                                      P
                                      
                                        
                                          i
                                          -
                                          k
                                        
                                        ,
                                        m
                                      
                                    
                                    -
                                    
                                      P
                                      
                                        
                                          i
                                          +
                                          k
                                        
                                        ,
                                        m
                                      
                                    
                                  
                                  
                                
                              
                              )
                            
                            *
                          
                        
                      
                      
                        
                          
                            
                              P
                              
                                
                                  i
                                  -
                                  k
                                
                                ,
                                m
                              
                            
                            *
                            
                              P
                              
                                
                                  i
                                  +
                                  k
                                
                                ,
                                m
                              
                            
                            *
                            
                              c
                              ⁡
                              
                                (
                                k
                                )
                              
                            
                          
                        
                      
                    
                    }
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          10
          ⁢
          
            -
          
          ⁢
          1
        
        )
      
    
  




or using the formula below:




  
    
      
        
          
            SYM
            w
          
          ⁡
          
            (
            
              i
              ,
              j
            
            )
          
        
        =
        
          
            1
            w
          
          ⁢
          
            
              ∑
              
                k
                =
                1
              
              w
            
            ⁢
            
              
            
            ⁢
            
              [
              
                
                  (
                  
                    
                      P
                      ⁢
                      
                        
                      
                      ⁢
                      max
                    
                    -
                    
                      
                        1
                        
                          
                            2
                            ⁢
                            
                              
                            
                            ⁢
                            n
                          
                          +
                          1
                        
                      
                      ⁢
                      
                        
                        
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  -
                                  k
                                
                                ,
                                m
                              
                            
                          
                          -
                          
                            
                              ∑
                              
                                m
                                =
                                
                                  j
                                  -
                                  n
                                
                              
                              
                                j
                                +
                                n
                              
                            
                            ⁢
                            
                              
                            
                            ⁢
                            
                              P
                              
                                
                                  i
                                  +
                                  k
                                
                                ,
                                m
                              
                            
                          
                        
                        
                      
                    
                  
                  )
                
                *
                
                  (
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          
                            
                          
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        
                      
                      ⁢
                      
                        P
                        
                          
                            i
                            -
                            k
                          
                          ,
                          m
                        
                      
                    
                  
                  )
                
                *
                
                  (
                  
                    
                      1
                      
                        
                          2
                          ⁢
                          
                            
                          
                          ⁢
                          n
                        
                        +
                        1
                      
                    
                    ⁢
                    
                      
                        ∑
                        
                          m
                          =
                          
                            j
                            -
                            n
                          
                        
                        
                          j
                          +
                          n
                        
                      
                      ⁢
                      
                        
                      
                      ⁢
                      
                        P
                        
                          
                            i
                            +
                            k
                          
                          ,
                          m
                        
                      
                    
                  
                  )
                
                *
                
                  c
                  ⁡
                  
                    (
                    k
                    )
                  
                
              
              ]
            
          
        
      
    
    
      
        (
        
          cl
          ⁢
          
            
          
          ⁢
          10
          ⁢
          
            -
          
          ⁢
          2
        
        )
      
    
  




while varying a value of 2w+1, where w is a natural number, and
where the symmetry evaluation value is larger when a pixel value in the feature-quantity extraction image is 0 or a positive value and the image feature quantity is larger, Pmax is a predetermined value equal to or greater than a maximum value of pixel values in the feature-quantity extraction image, and Pi is a pixel value of the target pixel located at coordinates (i, j) in the feature-quantity extraction image, 2w+1 is a width of the symmetry evaluation area in the first direction, Pi−k is a pixel value of a pixel located distant from the target pixel by k pixels to a first detection side that is one side in the first direction, where k is a natural number, and Pi+k is a pixel value of a pixel located distant from the target pixel by k pixels to a second detection side that is opposite to the first detection side in the first direction, 2w+1 is a width of the symmetry evaluation area in the first direction, 2n+1 is a width of the symmetry evaluation area in the second direction, Th is a predetermined threshold, and c(k) is a weighting function for the distance k from the target pixel.

12. The object detection apparatus according to claim 11, wherein
the symmetry evaluation unit obtains a maximum value maxSYM of the symmetry evaluation value SYMw(i, j), and determines the symmetry width based on the width 2w+1 of the symmetry evaluation area in the first direction corresponding to the maximum value of the symmetry evaluation value SYMw(i, j).

13. The object detection apparatus according to claim 1, wherein
the weighting function c(k) is a monotonically decreasing function of k.

14. The object detection apparatus according to claim 1, wherein
(1) when a value of a row i indicating a position of the target pixel in the first direction is equal to or less than H/2, the symmetry evaluation unit calculates the symmetry evaluation value by varying a value of w within a range of 1≦w≦(i−1), where w is a half of the width of the symmetry evaluation area in the first direction and H is the number of pixels in the first direction of the image, and H is a natural number, and
(2) when the value of the row i indicating the position of the target pixel in the first direction is greater than H/2, the symmetry evaluation unit calculates the symmetry evaluation value by varying the value of w within a range of 1≦w≦(H−i).

15. The object detection apparatus according to claim 1, wherein
the image feature quantity is an edge intensity of the image.

16. The object detection apparatus according to claim 1, wherein
the image feature quantity is an intensity of a specific color component of the image.

17. A non-transitory computer-readable storage medium having stored thereon a program enabling a computer to implement an object detection method comprising:
an image input step of receiving an image;
a feature quantity extraction step of extracting a predetermined image feature quantity from the image to generate a feature-quantity extraction image; and
a symmetry evaluation step of setting, for every processing target pixel in the feature-quantity extraction image, a symmetry evaluation area for evaluating symmetry in a first direction in the image in such a manner that the symmetry evaluation area is symmetrical with respect to a central axis that is a predetermined axis in a second direction orthogonal to the first direction, and calculating a weighted value resulting from weighting a value indicating a correlation value based on a distance of a group of pixels included in the symmetry evaluation area and located symmetrical with respect to the central axis from the central axis, the correlation value indicating a correlation between image feature quantities of the group of pixels, while varying a size of the symmetry evaluation area to obtain a symmetry evaluation value indicating a degree of the symmetry in the first direction,
wherein the receiving, extracting and setting being implemented using circuitry in the computer.