Abstract:
A method for detecting and recognizing at least one traffic sign is disclosed. A video sequence having a plurality of image frames is received. One or more filters are used to measure features in at least one image frame indicative of an object of interest. The measured features are combined and aggregated into a score indicating possible presence of an object. The scores are fused over multiple image frames for a robust detection. If a score indicates possible presence of an object in an area of the image frame, the area is aligned with a model. A determination is then made as to whether the area indicates a traffic sign. If the area indicates a traffic sign, the area is classified into a particular type of traffic sign. The present invention is also directed to training a system to detect and recognize traffic signs.

Description:
CROSS REFERENCE TO RELATED APPLICATIONS  
       [0001]     This application claims the benefit of U.S. Provisional Application Ser. No. 60/601,788, filed Aug. 16, 2004, and U.S. Provisional Application Ser. No. 60/637,841, filed Dec. 21, 2004, which are incorporated by reference in their entirety. 
     
    
     FIELD OF THE INVENTION  
       [0002]     The present invention is directed to a method for traffic sign detection, and more particularly, to a system and method for traffic sign detection and recognition using grayscale or color, shape and motion information.  
       BACKGROUND OF THE INVENTION  
       [0003]     In traffic environments, signs regulate traffic, warn the driver and command or prohibit certain actions. Real-time and robust automatic traffic sign recognition can support and disburden the driver, and thus, significantly increase driving safety and comfort. For instance, it can remind the driver of the current speed limit, prevent him from performing inappropriate actions such as entering a one-way street, passing another car in a no passing zone, unwanted speeding, etc. Further, it can be integrated into an adaptive cruise control (ACC) for less stressful driving. In a more global context, it can contribute to the scene understanding of traffic context (e.g., if the car is driving in a city or on a freeway).  
         [0004]     Traffic sign recognition is premised on some basic assumptions and takes advantage of some beneficial characteristics of traffic signs. First, the design of traffic signs is unique, thus, object variations are small. Further, sign colors often contrast very well against the environment. Moreover, signs are rigidly positioned relative to the environment (contrary to vehicles), and are often set up in clear sight to the driver.  
         [0005]     Nevertheless, a number of challenges remain for a successful recognition. First, weather and lighting conditions vary significantly in traffic environments, diminishing the advantage of the mentioned object uniqueness. Additionally, as the camera is moving, additional image distortions, such as, motion blur and abrupt contrast changes, occur frequently. Further, the sign installation and surface material can physically change over time, influenced by accidents and weather, hence resulting in rotated signs and degenerated colors. Finally, the constraints given by the area of application require inexpensive systems (i.e., low-quality sensor, slow hardware), high accuracy and real-time computation.  
         [0006]     The vast majority of known techniques for traffic sign recognition utilize at least two steps, one aiming at detection, and the other one at classification, that is, the task of mapping the detected sign image into its semantic category. Regarding the detection problem, several approaches have been proposed. Some of these approaches rely on gray scale data. One such approach employs a template based technique in combination with a distance transform. Another approach utilizes a measure of radial symmetry and applies it as a pre-segmentation within the framework. Since radial symmetry corresponds to a simplified (i.e., fast) circular Hough transform, it is particularly applicable for detecting possible occurrences of circular signs. Hypothesis verification is integrated within the classification.  
         [0007]     Some other techniques for traffic sign detection use color information. These techniques share a two step strategy. First, a pre-segmentation is employed by a thresholding operation on a color representation, such as Red Green Blue (RGB). Linear or non-linear transformations of the RGB representation have been used as well. Subsequently, a final detection decision is obtained from shape based features, applied only to the pre-segmented regions. Corner and edge features, genetic algorithms and template matching have been used.  
         [0008]     The drawback of these sequential strategies is that regions that have been falsely rejected by the color segmentation cannot be recovered in further processing. Additionally, color segmentation requires the fixation of thresholds, mostly obtained from a time consuming and error prone manual tuning.  
         [0009]     A joint treatment of color and shape approach has also been proposed. This approach computes a feature map of the entire image frame, based on color and gradient information, while incorporating a geometry model of signs. This approach also requires a manual threshold tuning and is computationally expensive.  
         [0010]     For the classification task, most approaches utilize well known techniques, such as template matching, multi-layer perceptions, radial basis function networks, and Laplace kernel classifiers. A few approaches employ a temporal fusion of frame based detection to obtain a more robust overall detection. These approaches require some sort of tracking framework. There is a need for a method for detecting and recognizing traffic signs that use an integrated approach for color and shape modeling in general object detection, but which does not require manually tuning thresholds.  
       SUMMARY OF THE INVENTION  
       [0011]     The present invention is directed to a method for detecting and recognizing at least one traffic sign. A video sequence comprised of a plurality of image frames is received. One or more filters are used to measure features in at least one image frame indicative of an object of interest. The measured features are combined and aggregated into a score indicating possible presence of an object. The scores are fused over multiple image frames for a robust detection. If a score indicates possible presence of an object in an area of the image frame, the area is aligned with a model. A determination is then made as to whether the area indicates a traffic sign. If the area indicates a traffic sign, the area is classified into a particular type of traffic sign. The present invention is also directed to training a system to detect and recognize traffic signs. 
     
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0012]     Preferred embodiments of the present invention will be described below in more detail, wherein like reference numerals indicate like elements, with reference to the accompanying drawings:  
         [0013]      FIG. 1  is a system block diagram of a system for recognizing traffic signs in accordance with the present invention;  
         [0014]      FIG. 2  is a series of images that exemplify examples of traffic signs that can be detected in accordance with the present invention;  
         [0015]      FIG. 3  is a diagram that illustrates a method for traffic sign recognition in accordance with the present invention;  
         [0016]      FIG. 4  illustrates graphs of partial responses negative and positive examples as a function of a weak classifier in accordance with the present invention;  
         [0017]      FIG. 5  illustrates an example of a ring shaped filter in accordance with the present invention;  
         [0018]      FIG. 6  illustrates the first six Haar wavelets selected by an AdaBoost algorithm, including ring filter wavelets in accordance with the present invention; and  
         [0019]      FIG. 7  illustrates the three defined regions for a sign in accordance with the present invention. 
     
    
     DETAILED DESCRIPTION  
       [0020]     The present invention is directed to a method for detecting and recognizing traffic signs. FIG. I illustrates a block diagram of a system for implementing the present invention. A camera  102  is used to capture images of a road and its surroundings. The camera  102  is typically mounted on a vehicle and pointed in a direction to capture the traffic signs. As would be expected with a typical road image, the image includes background images, such as road, buildings, trees, and houses, and vehicles driving on the road. The images are communicated to a processor  104  which analyzes the image intensity and image motion to detect any change in scene dynamics.  
         [0021]     A sign detection framework is implemented using AdaBoost training to combine filter based features. Detected objects are tracked within a temporal information propagation framework. Next, in order to obtain an accurate normalization, the detected signs are precisely aligned to up to pixel accuracy using a statistical modeling of the sign geometry. Finally, classification is performed based on Bayesian generative modeling, including a hypothesis fusion over multiple frames.  
         [0022]     Once a traffic sign is detected, the sign is identified via an output device  106 . The output device  106  provides an output signal which communicates to the user the presence of the traffic sign. The output signal may be an audible signal or other type of warning signal. The output device  106  may also include a display for viewing the detected signs. The display provides an iconic representation of the signs that have been detected and which are being tracked. These icons can be stored in database  108 .  
         [0023]     The present invention provides a framework for a real-time robust traffic sign detection and recognition, which fuses hints from color, shape and motion. Such a system can be used, for example, for driver assistance in an intelligent automotive cockpit environment.  FIG. 2  illustrates a series of image frames that exemplify traffic signs that can be detected using the method of the present invention. While the images are in black and white, the different gray scale intensities indicate the coloration of the signs which as indicated above differs significantly from the background color.  
         [0024]     The present invention is comprised of three main components.  FIG. 3  illustrates an overview of the method of the present invention for detecting traffic signs. An initial image frame  302  is obtained of a street environment. The image frame  302  includes a view of the road as well as a view of the background. First, a sign detection framework is implemented using AdaBoost training to combine filter based features. Detected objects are tracked within a temporal information propagation framework. The present invention utilizes a filter design which is specially adapted to the shape of the sign to be detected. Color sensitive Haar wavelet features are used to detect appearances of signs at each frame t. For each subsequent image frame, such as frame  304 , a determination is made as to whether an object (e.g., traffic sign) is detected. Once a sign is detected, it is tracked and individual detections from frames (t-t 0 , . . . t) are temporarily fused for a robust overall detection. Second, in order to obtain an accurate normalization, the detected signs are precisely aligned to up to pixel accuracy using a statistical modeling of the sign geometry. The sign is normalized with respect to position, scale and brightness. The resulting image is shown in frame  306  which isolates the potential object. Third, classification is performed based on a Bayesian generative modeling, including a hypothesis fusion over multiple frames. If the detected object is of interest the final object is shown such as illustrated by image  308 .  
         [0025]     The detection of objects, in this instance traffic signs, is addressed by a patch based approach. In detail, an image patch x i  (taken as a vector) is assigned into one of the two classes “object” (y i ≧0) and “non-object” (y i &lt;0) by evaluating an aggregation of simple features and simple classifiers  
                 y   i     =     sign   ⁢           ⁢     (       ∑     t   =   1     T     ⁢           ⁢       α   t     ⁢   sign   ⁢           ⁢     (       〈       f   t     ,     x   i       〉     -     θ   t       )         )         ,           (   1   )             
 
 The variables f t  (taken as a vector) are filter masks, which describe an over-complete set of Haar wavelets. The over-complete set is generated by varying particular geometric parameters, such as position (a,b), width w, or height h. An optimal subset of those wavelets, as well as the weights α t  and classifier thresholds θ t  are obtained from the AdaBoost training algorithm. 
 
         [0026]     The present invention employs a joint color and shape modeling approach within an AdaBoost training framework as is described in further detail hereinafter. For the application of traffic sign recognition, color represents valuable information, as most of the object color is not observed in typical background patterns (e.g., trees, houses, asphalt, etc.).  
         [0027]     AdaBoost provides a simple but very effective leverage for the integration of color, when it is interpreted as a feature selection. In prior approaches, AdaBoost has been used to select (and weight) a set of wavelet features, parameterized by their geometric properties, such as, position (a,b), width w, or height h. Those wavelets have been typically applied to patches of gray-scale images. In situations where color instead of gray-scale information is available, the prior art provides no general guidance for choosing which color representation should be used, or how they could be optimally combined within a linear or nonlinear color transformation.  
         [0028]     In accordance with the present invention, the color representation is regarded as being operated on as a free wavelet parameter, side by side to a, b, w, and h, thereby achieving a fully automatic color selection within the Adaboost framework. The varieties of the color representations to be integrated are not limited to R, G, and B. Prior domain knowledge can be incorporated by adopting linear or nonlinear color transformations. One beneficial property of this modeling is that these transformations are only “proposals” to the AdaBoost training.  
         [0029]     In principle, each combination in color and geometric space can be proposed. The AdaBoost framework is designed to select the most effective and disregard ineffective ones. The variety of the “proposals” is solely limited by the computational and memory resources. In accordance with the present invention, nine color representations are employed as follows: 
        1). the plain channels R, G, and B,     2) the normalized channels r=R/S, g=G/S, and b=B/S with S=R+G+B,     3) the gray scale channel S/3, and     4) two linear transformations T 1 (R, G, B) and T 2 (R, G, B). Here T i  corresponds to the first principle component of a linear discriminant analysis (LDA, also known as Fisher Discriminant Analysis) in the three dimensional RGB space. Data therein is represented by two classes; class 1 comprises typical objects and class 2 comprises background pixels. In this respect, T i  is the optimal linear transformation for the discrimination of objects and background pixels. T 1  is evaluated for signs, where large red areas are present (corresponding to the “beginning of” signs), T 2  for the signs which are dominated by gray colors (corresponding to the “suspension of” signs). 
 
 It is to be understood by those skilled in the art that other combinations or types of color representations can be used without departing from the scope and spirit of the present invention. 
       
 
         [0034]     A result of the AdaBoost training for the traffic signs is illustrated in  FIG. 4  which illustrates the first six wavelets selected by AdaBoost for the sign detection. For each of the six Haar wavelets, the pixels below the white areas are weighted by +1, the black area by −1. The wavelets are parameterized by their width w, the height h, and relative coordinates a and b. The background “coloring”, shown in different gray levels, indicates the color channel the individual features are computed on. For the present example, the color channels correspond to r, R, G, r, S/3, g.  
         [0035]     For purposes of describing the present invention, it is assumed that the method is being used to locate circular signs which have a red ring around their perimeter. However, it is to be understood by those skilled in the art that the color representations and wavelet features can be modified accordingly to detect signs having different characteristics without departing from the scope and spirit of the present invention. When the wavelets are used for sign detection, the most valuable information is selected from the color representations. In the instance of the present example, r, R and G, corresponds to the frequently observed red ring in the positive and trees in the negative sample set. This underlines the usefulness of color in the present invention.  
         [0036]     Because the patch based detection is not scale invariant, different detectors are trained for a number of discrete scales. After detection, an estimate of detected sign parameters (i.e., position (a 0 , b 0 ) and scale r 0 ) can be obtained from the maxima in the response map of respective detectors.  
         [0037]     Once detected, a sign is tracked using a simple motion model and temporal information propagation. For a more robust detection, the results of the individual frame based detections are fused to a combined score.  
         [0038]     In accordance with another aspect of the present invention, a new type of filter feature for the detection of ring-type objects is employed. This new filter feature approximates a ring structure by utilizing a combination of three rectangular areas of different size and identical center. A geometric illustration of the ring feature is shown in  FIG. 5 . As shown, the white areas correspond to the positive pixels which are weighted with +1 by the filter. The black areas correspond to the negative pixels and are weighted with −1 by the filter. The gray area denotes background, which corresponds to a weight of 0. Note that this type of modeling presumes that the signs are aligned in the center of the image patch.  
         [0039]     In order to keep the total amount of variations for AdaBoost traceable, the number of free parameters has been kept as small as possible. The ring feature can be parameterized by the height h (which is the same as the width) of the inner rectangle and bandwidth b. Height and width of the outer rectangle is 2h. Proper registration of the objects (e.g., signs) corresponding to the small centered dots  502 ,  504 ,  506  keep the ring centered.  
         [0040]     Another aspect of this invention concerns the efficient evaluation of the “strong classifier” as defined in Equation (1). In the general context of the here employed patch based object detection philosophy, the following two observations hold: 
        1). The vast majority (in practice, more than 99.99%) of the observed test patches x i  are non-objects, that is, they result in a negative y i .     2). The majority of those non-objects are “clear” negatives in the sense that an accurate estimate of y i  can be formed from only the first few summands in Equation (1).        
 
         [0043]     An empirical examination of the second observation is illustrated in  FIG. 4 . It shows the partial responses  
               r   i     (   t   )       =       ∑       t   ′     =   1     t     ⁢           ⁢       α   t   ′     ⁢   sign   ⁢           ⁢     (       〈       f   t   ′     ,     x   i       〉     -     θ   t   ′       )                 (   2   )             
 
 of 500 positive ( FIG. 4 ( a )) and 500 negative ( FIG. 4 ( b )) training examples x i  as a function of the weak classifier index t. From  FIG. 4 ( b ) it can be taken that the majority of negative examples already have a comparably large negative value (here, ≈−0.05-−0.15) after approximately 10-50 weak classifier evaluations. Positive examples always lead to values r i   (t) &gt;−0.05 within the same interval of weak classifier evaluations. 
 
         [0044]     In this respect, a significant computational cost decrease is possible by making early decisions about y i , when appropriate. This very general problem of validating a model based on sequentially arriving data has been studied in literature under the name sequential hypothesis testing.  
         [0000]     This concept shall be applied to the strong classifier computation as follows. Given a set of thresholds Ø=(Ø 1 , . . . ,Ø T ), the partial classifier decisions are defined as 
 
 y   i   (t) =sign( r   i   (t) −Ø t, ).   (3) 
 
 and devise a candidate pruning strategy as explained in the following. At each step t∈{1, . . . , T−1},y i   (t)  _is compared to zero. If y i   (t) ≧0, the summation will be continued. If y i   (t) &lt;0, the summation is terminated and x i  is classified as a negative pattern. 
 
         [0045]     The trade-off between efficiency and accuracy can be controlled by the thresholds Ø t . The larger Ø t , the less candidates are pruned at step t. The following two situations describe the extreme cases: 
        1). If Ø t =Σ t′=1   t  a t′ , t∈{1 , . . . ,T−1}, y i   (t) ≧0 will always hold. Hence, the summation will never be terminated prior to t=T, and the result will be equivalent to the naïve evaluation of Equation (1).     2). If Ø t =−Σ t′=1   t  a t′ −ε with ε&gt;0 any small number, then y i   (t) &lt;0, and the iteration will terminate immediately, classifying x i  as a negative sample. In the practice, however, Ø t  will most often be chosen positive.        
 
         [0048]     The thresholds Ø can be adapted from the given data. One reasonable strategy is to adjust the set of Ø t  during (or posterior to) the AdaBoost training such that a certain false negative rate 1−d t  is met for the training (or for a disjoint evaluation) dataset at step t, that is, 
 
1− d   t ≦1− {overscore (d)}   t   , ∀t∈{ 1, . . .  T− 1}.   (4) 
 
         [0049]     For the special case of a zero target false negative rate, 1−d t =0, ∀t ε{1, . . . T−1}, this is equivalent to 
 
Ø t   =r   min,pos   (t)   , t∈{ 1, . . . ,  T− 1},   (5) 
 
 where r min,pos   (t) =min i∈pos {r i   (t) } is the minimum response in the positive training (or evaluation) set at step t. In the context of  FIG. 4 ( a ), r min,pos   (t)  corresponds to the lower boundary of all {r i   (t) }. 
 
         [0050]     Using the above described strategy for the current application of traffic sign detection, it was possible to prune 94% of 250 weak classifier evaluations for negative x i  in average. Due to the small fraction of positive x i  (cf. observation 1 above), this corresponds to roughly the same percentage within the entire ensemble of candidates.  
         [0051]     In accordance with the present invention, sequential testing, known as cascading is used to identify strong classifiers. An evaluation of a cascade (i.e., a degenerated decision tree) of detectors with increasing complexity (each of which is implemented by a boosted strong classifier in virtue of Equation (1)). In this cascade, early (and less complex) nodes aim at the massive rejection of clear negative examples, whereas later (and more complex) nodes are specialized for the accurate discrimination between the difficult negative and positive samples.  
         [0052]     This sequential testing approach provides the following advantages. Early decisions are made for clear negative candidates. Sequential testing evaluates one single strong classifier decision, the goal of which is to minimize one particularly defined error rate. In addition, the sequential testing re-uses responses from previous nodes without extra computation. The sequential testing method also prunes candidates after each weak classifier evaluation.  
         [0053]     The present invention is based on the detection of accurately aligned objects (e.g., signs). The detection based on the filter features provides a coarse estimate of the sign position and scale since it detects patches on predefined, discrete scales. The following describes a method for aligning a detected object in accordance with the present invention. In the example being described, all signs to be detected have a circular shape. Hence their location and size can be represented by the parameters (a, b, r) where (a, b) denotes the center position and r denotes the radius of the sign.  
         [0054]     The present invention uses a Hough transform and edge images that have been augmented with additional statistical information about the sign geometry. Most of the signs to be detected are silhouetted from the background by their circular overall shape, but also distinguished by intrinsic homogeneous regions of, for instance, the surrounding ring or the interior pictographic region.  
         [0055]     Given the object parameters (a, b, r), four regions in the image X Edge   (a,b,r) , X Boundary   (a,b,r) , X Ring   (a,b,r) , X Pict   (a,b,r)  are defined as illustrated in  FIG. 7  and as follows:  
               X   Edge     (     a   ,   b   ,   r     )       =     {       (     x   ,   y     )     |       r   -     1   2       ≤              (     x   ,   y     )     T     -       (     a   ,   b     )     T            &lt;     r   +     1   2           }             (   6   )                 X   Boundary     (     a   ,   b   ,   r     )       =     {       (     x   ,   y     )     |           3   4     ⁢   r     -     1   2       ≤              (     x   ,   y     )     T     -       (     a   ,   b     )     T            &lt;         3   4     ⁢   r     +     1   2           }             (   7   )                 X   Ring     (     a   ,   b   ,   r     )       =     {       (     x   ,   y     )     |         3   4     ⁢   r     &lt;              (     x   ,   y     )     T     -       (     a   ,   b     )     T            ≤   r       }             (   8   )                 X   Pict     (     a   ,   b   ,   r     )       =       {       (     x   ,   y     )     |                (     x   ,   y     )     T     -       (     a   ,   b     )     T            ≤       3   4     ⁢   r         }     .             (   9   )             
 
 The quantity  
         3   4     ⁢   r       
 
 corresponds to the radius of the inner circle for all “beginning of” signs. 
 
         [0056]     For a true sign object with parameters (a, b, r) it is expected that 
        1) X Boundary   (a,b,r)  to have high values in the component of the gradient vector, pointing towards (a, b) T .     2) X Edge   (a,b,r)  to have high values in the component of the gradient vector, pointing towards (a,b) T .     3) X Ring   (a,b,r)  to have one narrow peak in a unimodal color distribution.     4) X Pict   (a,b,r)  to have two narrow peaks in a bimodal color distribution, partitioning X Pict   (a,b,r)  into two modes of a background region X PictBG   (a,b,r)  and a foreground (text) region X PictFG   (a,b,r)  with X Pict   (a,b,r) =X PictBG   (a,b,r)  ∪ X PictFG   (a,b,r) , and     5) the distribution of X Ring   (a,b,r)  to significantly differ from the interior background mode X PictBG   (a,b,r) . 
 
 Based on these deliberations, an energy function is defined.  
                     E   ⁢           ⁢     (     a   ,   b   ,   r     )       =       ⁢       ∑     i   =   1     6     ⁢           ⁢       α   i     ⁢       E   i     ⁡     (     a   ,   b   ,   r     )                       =       ⁢         α   1     ⁢     grad     X   Edge     (     a   ,   b   ,   r     )           +       α   2     ⁢     grad     X   Boundary     (     a   ,   b   ,   r     )           +                     ⁢         α   3     ⁢     log   (     σ     X   Ring     (     a   ,   b   ,   r     )       2     )       +       α   4     ⁢     log   (     σ     X   PictBG     (     a   ,   b   ,   r     )       2     )       +                     ⁢           α   5     ⁢     log   (     σ     X   PictFG     (     a   ,   b   ,   r     )       2     )       +       α   6     ⁢         (       μ     X   Ring     (     a   ,   b   ,   r     )         -     μ     X   PictBG     (     a   ,   b   ,   r     )           )     2         σ     X   Ring     (     a   ,   b   ,   r     )       2     +     σ     X   PictBG     (     a   ,   b   ,   r     )       2             ,                   (   10   )             
 
 which should be minimal for the true sign parameters, that is,  
               (       a   0     ,       b   0     ⁢     r   0         )     =         arg   ⁢           ⁢   min       (     a   ,   b   ,   r     )       ⁢       {     E   ⁢           ⁢     (     a   ,   b   ,   r     )       }     .               (   11   )             
       
 
         [0062]     In Equation (10), α 1  . . . , α 6  are weights, which are to be adjusted. In the present invention, this problem is solved with help of a gradient descent in the six dimensional α space with respect to the classification error. The uncovering of the two modes in X Pict   (a,b,r)  can be solved by standard techniques (e.g., mean shift, EM).  
         [0063]     Based on the estimated sign parameters (a 0 , b 0 , r 0 ), the following normalization steps are pursued: 
        1) A circular region, corresponding to the sign area with parameters (a,b,r) is extracted.     2) The image brightness is normalized within this region by histogram equalization.     3) The resulting image is bi-linearly scaled to the classifier resolution.        
 
         [0067]     Next, classification of the object is performed. The classification framework is based on the generative paradigm, employing unimodal Gaussian probability densities. Prior to the probabilistic modeling, a feature transformation is performed using standard linear discrimination analysis (LDA). In this respect a feature vector χ∈R 25  of the sign pattern comprises the first 25 principle components of the LDA.  
         [0068]     For each class 1, a probability density function p(x|l) is estimated based on a unimodal multivariate Gaussian 
 
 p ( x|l )= N   μ     x       l)     ,Σ     x       (l)    ( x ),   (12) 
 
 thus the entire classifier is determined by 23 (equivalent to the number of different sign classes) pairs of mean and covariance (μ x   (l) , Σ x   (l) ). 
 
         [0069]     Given a feature vector x (t)  from the test sequence at frame t, a maximum likelihood (ML) approach implies a classification decision {circumflex over (l)} which is defined by  
                 l   ^     =       argmin   l     ⁢     {     d   ⁢           ⁢     (       x     (   t   )       ,     (       μ   x     (   l   )       ,     ∑   x     (   l   )         )       )       }         ⁢     
     ⁢   and           (   13   )                 d   ⁢           ⁢     (       x     (   t   )       ,     (       μ   x     (   l   )       ,     ∑   x     (   l   )         )       )       =       -   ln     ⁢           ⁢     (     p   ⁢           ⁢     (       x     (   t   )       |   l     )       )               (   14   )             
 
 The classification performance can be improved by taking into account temporal dependencies. Given a feature sequence X (t0) =[x (l) , . . . , x (t0) ] as a result from the tracking, the classifier decision can be combined from the observations so far seen. Assuming the statistical independence of x (l) , . . . , x (t0) , a combined distance is given by  
                       d   ⁢           ⁢     (       X     (     t   o     )       ,     (       μ   x     (   l   )       ,     ∑   x     (   l   )         )       )       =       -   ln     ⁢           ⁢     (       ∏     t   =   1       t   o       ⁢           ⁢     p   ⁢           ⁢     (       x     (   t   )       |   l     )         )         ⁢                       =       ∑     t   =   1       t   o       ⁢           ⁢     d   ⁢           ⁢     (       x     (   t   )       ,     (       μ   x     (   l   )       ,     ∑   x     (   l   )         )       )                       (   15   )             
 
 From a practical point of view, it can be worthwhile to weight the impact of the individual frames differently, i.e.,  
               d   ⁢           ⁢     (       X     (     t   o     )       ,     μ   x     (   l   )       ,     ∑   x     (   l   )         )       =       ∑     t   =   1       t   o       ⁢           ⁢       π   t     ⁢   d   ⁢           ⁢       (       x     (   t   )       ,     μ   x     (   l   )       ,     ∑   x     (   l   )         )     .                 (   16   )             
 
 An exemplary weight is 
 
π t   =a   t     0     −t    (17) 
 
 with a&lt;1. This value is chosen because as the traffic signs get bigger in later frames, it results in a more accurate frame classification. 
 
         [0070]     Probabilistic confidence measures for the classification are given by means of the posterior probability for each class l′,  
               p   ⁢           ⁢     (       l   ′     |     x     (   t   )         )       =         p   ⁢           ⁢     (       x     (   t   )       |     l   ′       )     ⁢           ⁢   P   ⁢           ⁢     (     l   ′     )           ∑   l     ⁢           ⁢     p   ⁢           ⁢     (       x     (   t   )       |   l     )     ⁢           ⁢   P   ⁢           ⁢     (   l   )           .             (   18   )             
 
 thus it is straightforward to integrate information about sign priors into the approach, e.g., from the traffic environment (e.g., city or freeway). 
 
         [0071]     The present invention is directed to a system and method for detecting, tracking and recognizing traffic signs. The system integrates color, shape and motion information. It is built on three components, that is, a detection and tracking framework based on AdaBoost and Haar wavelet features, an accurate alignment based on the statistical modeling of sign geometry, and a classifier based on Gaussian distributions.  
         [0072]     Having described embodiments for a method for detecting traffic signs, it is noted that modifications and variations can be made by persons skilled in the art in light of the above teachings. It is therefore to be understood that changes may be made in the particular embodiments of the invention disclosed which are within the scope and spirit of the invention as defined by the appended claims. Having thus described the invention with the details and particularity required by the patent laws, what is claimed and desired protected by Letters Patent is set forth in the appended claims.