Patent Publication Number: US-7907786-B2

Title: Red-eye detection and correction

Description:
BACKGROUND 
     The present exemplary embodiment relates to image processing. It finds particular application in connection with the automated correction of digital images for red-eye. 
     Red-eye is a common problem in photographic images. It occurs whenever a flash is used and the light reflecting from the human retina makes the eyes appear red instead of their natural color. Recognizing this problem, camera manufacturers have attempted to minimize or inhibit red-eye by equipping cameras with the ability to emit one or more pre-flashes of light immediately prior to completion of the actual photograph. These pre-flashes are intended to constrict the subject&#39;s pupils to minimize light incident on the retina and reflected therefrom. Although cameras equipped with pre-flash hardware can alleviate red-eye problems, they are not always well received since the red-eye artifact is not always prevented. They also tend to consume much more energy, induce a significant delay between pushing the button and taking the photograph, and result in people blinking the eyes. Red-eye has become more prevalent and severe as cameras have been made smaller with integrated flashes. The small size coupled with the built-in nature of the flash requires placement of the flash in close proximity to the objective lens. Thus, a greater portion of the reflected light from a subject&#39;s retinas enters the object lens and is recorded. 
     Techniques have been developed for the detection and correction of red-eye in images. In one method, an operator visually scans all images and marks those images including red-eye for further processing. The processing typically involves modifying the red pixels in the identified red-eye. Efforts to eliminate or reduce operator involvement have resulted in automated processes that attempt to detect red-eye based upon color, size, and shape criteria. When a red-eye is detected, the automated process applies a correction to the red area. Given that the color red is very common, and that red-eye is not present in a great many images (e.g., those not taken using a flash, those not including human subjects, etc.), false-positives are common. Thus, red buttons, a piece of red candy, and the like, may all be misidentified as red-eye using such automated red-eye detection techniques. Methods for recognizing or addressing red-eye are disclosed, for example, in U.S. Pat. Nos. 5,990,973, 6,718,051, and the references cited therein, the disclosures of which are hereby expressly incorporated in their entireties by reference. Other red-eye detection methods rely on face detection or learning, as disclosed, for example, in U.S. Pat. Nos. 6,009,209, 6,278,491, and 6,278,401, the disclosures of which are hereby expressly incorporated in their entireties by reference. 
     BRIEF DESCRIPTION 
     Aspects of the present exemplary embodiment relate to a digital image processing method and a system. For each of a plurality of pixels of a digital image, the method includes assigning a probability to the pixel of the pixel being in a red-eye as a function of a color of the pixel. For each of the plurality of pixels, a correction to apply to the pixel is determined. The correction is a function of the assigned probability that the pixel is within a red-eye and a color of the pixel. 
     Optionally, any regions in the image of contiguous pixels which satisfy at least one test for a red-eye are identified. The at least one test relates to one of the group consisting of a size of the region, a shape of the region, and an extent of overlap with a region comprising pixels having at least a threshold probability of being in a red-eye. 
     In another aspect, a system for correction of images includes a detection module which, for a plurality of pixels in a digital image, assigns a probability that a pixel is within a red-eye, the probability having a value which is variable from a minimum value to maximum value. A correction module assigns a correction to apply to the pixel, the correction being a function of the assigned probability and of a color of the pixel. 
     In another aspect, a system for processing digital images includes a first component which assigns a probability to each of a plurality of pixels in a digital image that the pixel is in a red-eye. The probability is a function of a color of the pixel. A second component assigns a circularity probability to each of a plurality of the pixels. Optionally, a third component evaluates regions of the image for which the pixels have a minimum circularity probability to determine if the region meets at least one test that the region is within a red-eye. A fourth component determines a correction to be applied to pixels in the image based on the assigned redness probability and color of the pixel. 
     In another aspect, a digital image processing method includes, for each of a plurality of pixels in a digital image, automatically assigning a probability to the pixel of the pixel being in a red-eye as a function of a color of the pixel and automatically determining a correction to apply to at least a portion of the pixels in the image which, for each of the pixels, is a function of the assigned probability that the pixel is within a red-eye and a color of the pixel. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a flow diagram illustrating steps in an exemplary method for automatic correction of red-eye in an image; 
         FIG. 2  is a schematic view of a portion of an image and a region surrounding a pixel to which a circularity probability is being assigned; 
         FIG. 3  is a schematic view of an image illustrating areas of consideration during red-eye detection; and 
         FIG. 4  is a schematic view of a digital device for performing the steps of  FIG. 1 . 
     
    
    
     DETAILED DESCRIPTION 
     Aspects of the present exemplary embodiment relate to a system and method for addressing red-eye in digital images. The system enables fully automated detection and correction of red-eyes in the image processing stage, allowing the elimination of pre-flash hardware and its associated disadvantages. The images to be processed may be generated by a digital imaging device, such as digital camera, scanner, digital video recorder, or the like. An exemplary detection and correction system includes a processing module which includes software which may be incorporated into the digital imaging device or may be stored on a suitable image processing apparatus separate from the digital imaging device, such as a personal desktop computer, laptop, or a dedicated image processing system, such as a photofinishing apparatus. The images to be processed are in digital form or are converted to digital form prior to processing. The image data can be defined by a plurality of pixel values expressed in terms of a color space, such as a red, green, blue (RGB) color space, or may be converted thereto. 
     An exemplary method for treatment of red-eye in a digital image consists of a fuzzy (soft) red-eye detection step and a fuzzy (soft) red-eye correction step. Thus, instead of making a hard (yes or no) decision about whether a pixel is in a red-eye, a value is assigned to each pixel which generally corresponds to the likelihood that it is in a red-eye and the correction process involves a soft correction where each pixel to be corrected is corrected according to its individual probability. 
     The elements of an exemplary method are illustrated in  FIG. 1 . The method begins with receipt of an image by the image processing apparatus (Step S 10 ). The image may be stored on a disk, such as a DVD, CDROM, or floppy disk, or on other image storing medium and temporarily transferred to a memory of the image processing apparatus for processing. 
     Prior to performing the red-eye detection, the resolution of the image can be reduced to a standardized number of pixels, such as 1 megapixel, to reduce the number of processing steps (Step S 12 ). In the fuzzy detection step (S 14 ), a detection module of the system evaluates pixels of the digital image based on one or more color and spatial characteristics of the pixel. In evaluating the color, the detection module may consider the redness and luminance (brightness) of the pixel, assigning probability values for one or both of these and/or a combined probability (substeps S 14 A, S 14 B, S 14 C, S 14 D). Taking into account the relation between redness and luminance allows the elimination (by assignment of a low probability) of a large proportion of false positives, such as skin and faces, that are more bright than red, whereas red eyes are usually more red than bright. Evaluation of the spatial characteristic (spatial circularity) (substep S 14 E) may include assigning a probability to the pixel related to the circularity of a region surrounding the pixel. The probability assigned in step S 14 E may be normalized over the probabilities obtained for the entire image. 
     As an alternative to luminance, some other characteristic commonly associated with red-eyes can be evaluated, such as local contrast (whether the pixel is in a region adjacent one of contrasting color and/or brightness). 
     In aspects of the present embodiment, a redness probability pR1 and a redness/luminance probability pR2 are determined as a way to focus on the most probable red-eye regions of an image (substeps S 14 A and S 14 B). The redness/luminance probability pR2 can incorporate the redness probability pR1 determined in step S 14 A. A combined probability pR, which is some function of the probabilities pR1 and pR2 can be determined to identify regions which have at least a minimum probability of being a red-eye, in view of their color and luminance. (substep S 14 C). The output is a probability map of pR for all pixels in the image (substep S 14 D). A circularity probability (pSC) for pixels of regions identified through the pR3 values of the pixels is then determined and assigned to each pixel, which may be based on the principle that, in practice, a probable red eye region is surrounded by an improbable one (substep S 14 E). Further tests may then be applied to the remaining probable red-eye regions to eliminate false positives (pSC+tests) (substeps S 15 A and S 15 B). Further tests may be applied to all the remaining prospective red eye regions to eliminate even more false positives. For the remaining regions, probability values, such as pR2 values are then used to modify (reduce) the red components of the prospective red eyes (step S 16 ). This step includes determining the red-eye correction to be applied (substep S 16 A) and correcting for red-eyes (substep  16 B), for example, by blending the original image with a “red reduced” image. pR2 better reflects the probability and amount of redness by which to reduce the pixel red component than pR1 or pR, although it is contemplated that these probability values may be used in the correction step. 
     In the exemplary embodiment, all or a preponderance of the pixels in the image are evaluated for the three features: redness probability (pR1) (substep S 14 A), redness/luminance probability (pR2) (substep S 14 B) and circularity probability (pSC) (substep S 14 C), although it is also contemplated that the detection step may not involve calculating each probability pR1, pR2, an pSC for every pixel. For example, for regions or for individual pixels in which pR1 and/or pR2 are below a minimum threshold, i.e., low or zero (i.e., suggesting a low probability of a red eye), pSC may not need to be calculated. The output of step S 14  may be a probability map that indicates, for each pixel evaluated, the probability (P) of the pixel being in a red-eye (Substep S 14 F). Based on this probability map, regions with a high probability of being a red eye are identified (step S 15 ), and a subsequent correction step modifies the color of each pixel in these regions individually (Step S 16 ). As a result, a correction applied to one pixel in a red-eye may differ from the correction applied to another pixel in the red-eye. 
     At each step, scaling (e.g., normalization) can be performed such that for an image in which any pixel has a value greater than 0, the maximum value over the whole image becomes 1. Scaling can be achieved by dividing by the maximum value, but other non linear ways of scaling are also contemplated. Each subsequent processing substep (S 14 B, S 14 C, S 14 D, S 14 E) may rely on and improve the output of the preceding one. 
     For an image in which a red-eye occurs, the probability map generated in step S 14 E is not binary but includes values from 0 and 1 (or other assigned maximum and minimum values), where 0 indicates the lowest probability that the pixel is in a red-eye and 1 indicates the highest probability that the pixel is in a red-eye. The values between 0 and 1 can be graphically represented as gray levels, with black corresponding to 0 and white corresponding to 1. As discussed above, this probability can be a combination of one or more different pixel features, such as color attributes (e.g., redness), luminance, and spatial circularity 
     The color (redness probability) pR1 of the pixel (Step  14 A) can be determined from a measure of the red component of the pixel and may include comparing the red component with complimentary color components, such as green and blue components of the pixel&#39;s color space. Depending on the color scale used, the color components can be expressed as numerical values, the higher the value, the greater the saturation. For example, in RGB color space, the color of a pixel is defined in terms of red, green, and blue components each being assigned a numerical value of, for example, from 0-255. The redness probability can take into account each of these values or just the red component. In one embodiment the extent to which a pixel is “reddish” (D) is determined by subtracting an average of the green (G) and blue (B) values from the red value (R) of the pixel, using the expression:
 
Reddish ( D )= R −( G+B )/2  Eqn. 1
 
     The redness probability (pR1) of a pixel being red can be obtained by scaling the reddish value obtained according to Eqn. 1, e.g., by dividing the reddish value (D) by the maximum reddish value (D max ) for the image and taking the maximum of this value and zero to eliminate negative values, which can be expressed as follows:
 
 pR 1=max(0 , D/D   max )  Eqn. 2
 
     For example, for a pixel having the following values R=220, G=130, B=90,
 
 D= 220−[(130+90)/2]=110
 
     If the maximum reddish value D max  of the image is 220,
 
 pR 1=max(0, 110/220), in this case, pR1=0.5
 
     The output of substep S 14 A is thus a probability pR1, which is assigned to each pixel which equates to some relative measure of its redness. In the illustrated embodiment, the probability pR1 is a measure of the extent to which the pixel is more red than it is green and blue. Other color measures which are tailored to identify the degree to which a pixel is similar in color to a red-eye are also contemplated. It will be appreciated that pR1 need not be a scaled value of D, for example, pR1 may be equal to D, or some other function of D. 
     The next substep (S 14 B) assigns a redness/luminance probability (pR2) to each pixel. The luminance (or brightness) of a pixel can be expressed in terms of the gray level (saturation) of the pixel. Thus, for example, a luminance or gray level (V) is determined for each pixel which is a weighted sum of the values for red, green, and blue. In one embodiment, the gray level is determined using the expression:
 
 V= 0.25 *R+ 0.6 *G+ 0.15 *B   Eqn. 3
 
     * being the multiplication function. The redness/luminance value (L) is then determined by subtracting the gray level from a function of the reddish value D, determined in Eqn. 1. In one embodiment, the function is 2D, as follows:
 
 L= 2 *D−V   Eqn. 4
 
     L can be normalized by dividing by the maximum value of L (L max ) for the image. Any negative values can be set to zero. pR2 is thus determined from the expression:
 
 pR 2=max(0 , L/L   max )  Eqn. 5
 
     Eqn. 5 thus serves to identify reddish pixels (as identified in the substep S 14 A) which have a low gray level. Eqn. 5 thus gives an indication of whether the pixel is more red than it is bright, which is generally the case for red-eyes. This eliminates a substantial portion of the false positives, e.g. on skin and face regions which present those characteristics. 
     In one embodiment, the output of subsstep S 14 B is thus a probability value pR2 for each pixel which takes into account the gray level V of the pixel and its redness D. 
     In the above example, where R=220, G=130, B=90, and if L max  is 100
 
 V= 0.25*220+0.6*130+0.15*90=146.5
 
 L= 2*110−146.5=73.5
 
 pR 2=73.5/100=0.735
 
     Alternatively, the pR2 value of a pixel can be determined according to the expression:
 
 pR 2=( R−LPF ( R+G+B )/3)/255 or 0 if this is negative  Eqn. 6
 
where LPF denotes a low pass filter (for example, a 5×5 pixel square containing the pixel being evaluated). The average value of the R, G, and B values of the pixels in the low pass filter is thus divided by three and subtracted from the red value of the pixel. The result divided by the maximum value (255 in this case) to generate a value from 0 to 1.
 
     The probability values pR1 and pR2 assigned in steps S 14 A and S 14 B are optionally combined into a single probability value pR, such as a product or weighted sum of pR1 and pR2 (substep S 14 C) which allows further processing to concentrate on the most probable red-eye regions. For example, a combined redness and redness/luminance probability F can be obtained as the product of pR1 and pR2 and then normalized by dividing by the maximum value of F (F max ) over the image, with negative values set to zero, as follows:
 
 F=pR 1* pR 2  Eqn. 7
 
 pR =max(0 , F/F   max )  Eqn. 8
 
     Eqn. 8 thus reinforces the probability where both pR1 and pR2 have large values and reduces/sets to zero the probability where either pR1 or pR2 are low/zero. pR can thus be considered as the probability of the pixel being in a red eye in the sense of being reddish and also more reddish than bright. The probability pR thus provides an approximation of the probability that the pixel is similar in color and luminance to pixels which are in a red-eye, in practice. The higher the value of pR, in general, the more likely it is that the pixel is in a red-eye. pR (or alternatively pR2 or pR1) constitutes the input for the circularity probability calculated in the next step (substep S 14 E). 
     In substep S 14 E, a circularity probability value pSC may be assigned to each pixel (or to pixels in any region  10  identified as comprising pixels with at least a minimum value of pR3, such as pR3&gt;0 or pR3&gt;0.1). One aspect of this substep is to ensure that each candidate red-eye is of circular shape and its width/height ratio is close to 1. The circularity probability value pSC of a pixel is thus related to the degree of circularity of a region in which the pixel is located. In one embodiment, the probability value pSC is computed on pR determined in substep S 14 C, above. 
     For example, as illustrated in  FIG. 2 , in substep S 14 E, a set S of pixels, P 1 , P 2 , P 3 , P 4 , etc., which are radially spaced by a selected distance r from the pixel C being evaluated and arcuately spaced an equal distance from each other, are selected. The set may include 4, 6, 8, or any convenient number of pixels. If each of the pixels P 1 , P 2 , P 3 , P 4 , etc in the set of pixels have an approximately equal pR probability, this suggests that the central pixel P has a high probability of being in a circular region. This is most significant at the perimeter  10  of the region  12  in which the pixel is located. By moving stepwise further away from the pixel and looking at a plurality of pixel sets of increasing radius, the circularity probabilities for each of these sets can be computed and an maximum probability, average probability, or other function which takes one or more of these into account can be determined. In one embodiment, a number of pixels N 1 , N 2  . . . N p  (pixel count) at radius r and a circularity probability pSCr(C,r), is obtained for the central pixel C and the radius r, as the maximum, truncated if less than zero of the expression:
 
 pSC ( C,r )=max(0, ½*PixelCount* pR ( C )−[ pR ( N   1 )+ . . . + pR ( N   p )])  Eqn. 9
 
     where PixelCount is the number of pixels selected on the circle around C. 
     For example, for four pixels N S E W of the central pixel, values of the expression
 
 pSC ( C,r )=½*4 *pR ( C )−[ pR ( N   1 )+ . . . + pR ( N   4 )] are determined
 
     Values of pSC(C,r) are determined for different r values (e.g., seven sets of pixels at r values of 3, 5, 9, 13, 19, 23, 27 from the central pixel) are obtained. In one embodiment, the maximum value of pSC(C,r) over all considered radii pSC(C) is determined:
 
 pSC ( C )=max( pSCr ( C,r ))  Eqn. 10
 
     The value of pSC(C) is scaled, e.g., normalized by dividing pSC(C) by the maximum value of pSC(C) over the entire image (pSC(C)max) to determine a normalized probability pSC, and truncating where less than 0, as follows:
 
 pSC =max(0 , pSC ( C )/( pSC ( C ) max )  Eqn. 11
 
     This assigns a high probability pSC to pixels having a high probability pR surrounded by a circle of pixels with low probability pR. 
     In an alternative embodiment, the values of pSC(C,r) are averaged to determine pSC(C). 
     It will be appreciated that fewer than four or more than eight pixels can be selected for each set S, and that the pixels selected need not be equally spaced arcuately. It is also contemplated that different radial distances can be selected, e.g., r can be from 1 to 100 pixels (which may depend on the resolution of the image under investigation) as well as different numbers of sets of pixels, e.g., from 2 to 20 sets of pixels, in one embodiment, from 3 to 10 sets. 
     Other measurements of circularity are also contemplated. In general, the determination of circularity probability pSC assigns pixels which are towards the center of a substantially circular area having a high local contrast (i.e., a surrounding area of substantially different color and/or brightness) at the perimeter, a probability pSC which is greater than zero and can be up to 1, the value generally increasing as the circularity increases. For those pixels which are not a part of a substantially circular area having a high local contrast at the perimeter, a probability pSC of zero or close to zero is assigned. 
     In one embodiment, the value of pSC is not determined for all pixels. For example, pSC is only determined for pixels where pR is greater than 0 or greater than a minimum threshold value, for example, greater than a normalized value of 0.1. In another embodiment, the same value of pSC can be used for a set of pixels which are directly adjacent or closely adjacent to a measured pixel. For example, a set of 3×3 or 5×5 pixels is assigned the value of pSC of the central pixel. This can reduce the computation time considerably without an appreciable reduction in accuracy. 
     In general, therefore, the assigned probability pSC takes into account some measure of the circularity of a region defined by its redness value pR of which the pixel forms a part. The probability may also take into account, directly or indirectly, the local contrast of the pixel and the extent to which the area in which the pixel is located is bounded by a substantially non-red area. 
     The output of substep S 14 E is a probability map of assigned values of pSC for each pixel in the image (or for pixels in those regions which meet a threshold value of pR3) (substep S 14 F). 
     Optionally, one or more further tests are performed to determine whether a red-eye correction is appropriate (Step S 15 ). For example, these tests may evaluate those regions of contiguous pixels which have a minimum value of pSC (and/or pR) (Substeps S 15 A S 15 B) to determine whether they meet size and/or shape criteria. These tests are designed to eliminate false positives, i.e., regions of contiguous pixels where the pixels have a minimum value of pSC and yet which are not likely to be red-eyes, for example, because they are too large or too small in relation to the size of the image, or because they are too elongate or lack compactness. These tests are applied to regions comprising several pixels and are indicative of whether the region, as a whole, should be considered to be a red-eye and thus warrant a correction. The tests allow certain regions to be eliminated from consideration as red-eyes and for these, no correction is applied to the pixels in the region. For example if any of the tests is not met, the original redness value is kept and pR1, pR2, and/or pR3 is set to zero. In one embodiment, a region has to pass all the tests to be considered a red eye. If an area does not pass all the tests then the probability for all pixels within this area is set to 0 (and the original redness value is kept). 
     These tests may concern different characteristics of potential red-eye regions, and can be applied to the probability map (pSC values) or an intermediate probability map (e.g., pR, pR1, or pR2). In an illustrated embodiment, they are applied to pSC. 
     As illustrated in  FIG. 3 , the potential red-eye regions  40 ,  42 ,  44  are identified as regions of connected pixels exceeding a threshold probability of pSC which is greater than 0 and less than 1. The threshold probability may be, for example, from about 0.05 to about 0.2, e.g., about 0.1. There may be several potential red-eye regions  40 ,  42 ,  44 , in an image  50  which meet this threshold. For each of the regions  40 ,  42 ,  44 , the width w and height of the region  40 ,  42 ,  44 , are determined. The following tests are described with reference to region  40 , although it will be appreciated that the tests are performed for each region  40 ,  42 ,  44  (or for each region which passes the preceding test or tests). 
     The size tests (substep S 15 A) may include a first size test on each of the individual regions to determine that the region  40  is not too small with respect to the whole image  50 . In this test the maximum width w and maximum height of h of the region are determined, for example, in terms of the number of pixels. The test is satisfied if:
 
 w&gt;j/ 100 *s Max  Eqn. 12
 
and
 
 h&gt;k/ 100 *s Max  Eqn. 13
 
     where sMax is the maximum of the width and height of the image  50  in pixels: sMax=max(W,H), and
         j and k independently can be, for example, from about 0.1 to about 0.5, e.g., about 0.25, e.g.,
           w&gt;0.25/100*sMax and   h&gt;0.25/100*sMax   
               

     If a region  40  does not meet this test, i.e., it is too small in relation to the image, it is not considered to be a red-eye. 
     A second size test on each of the individual regions  40  may be to determine that the region is not too big with respect to the whole image. Theis test is satisfied where:
 
 w&lt;t/ 100 *s Min  Eqn. 14
 
and
 
 h&lt;u/ 100 *s Min  Eqn. 15
         where sMin is the minimum of the width W and height H of the image in pixels: sMin=min(W, H); and
           t and u independently can be, for example, from about 5 to about 20, e.g., about 10, e.g.,
               w&lt;10/100*sMin and   h&lt;10/100*sMin   
               
               

     If the region  40  does not meet this test, i.e., it is too large in relation to the image, it is not considered to be a red-eye. 
     The shape tests (substep S 15 B) can include a first shape test on each of the individual regions  40  to determine that the region is not too elongate, i.e., the height is not substantially greater than the width, and the width is not substantially greater than the height. This test is satisfied if:
 
 w&lt;y*h   Eqn. 16
 
and
 
 h&lt;z*w   Eqn. 17
 
     where y and z independently can be for example, from about 1.5 to about 3. For example the width is less than about twice the height, and the height is less than about twice the width: w&lt;2*h; h&lt;2*w. 
     If the region does not meet this test, i.e., it is too elongate in either the width or height direction, it is not considered to be a red-eye. 
     A second shape test on each of the individual regions  40  may be to determine that the region is relatively compact. This test is satisfied where:
 
fpb&gt;f  Eqn. 18
 
     where fpb is the fraction of pixels  52  within the region&#39;s rectangular bounding box  54  belonging to the region  40  and f can be from about 0.1 to about 0.3, e.g. about 0.25. 
     If the region  40  does not meet this test, i.e., it is too disperse, it is not considered to be a red-eye. 
     The output of steps S 15  is a probability map which assigns a probability value P=0 for every pixel except for those pixels in regions which have passed each of the applied tests. For the pixels in the regions which pass the tests, the assigned probability value P=pR2 is retained. 
     It will be appreciated that fewer or greater than the four tests described above may be applied, and that a region may be considered a red-eye if at fewer than all the tests are satisfied, e.g., if at least a minimum number of the tests is satisfied, such as two or three of the tests. 
     Additional tests may optionally be conducted to reduce false positives further. For example, a fifth test (S 15 C) determines whether a region identified in steps S 15 A and B as a potential red-eye (P&gt;0) overlaps with a region of pixels having a high redness probability pR2 or pR1. As illustrated in  FIG. 3 , this test may include mapping any remaining probable red-eye regions  40 ,  42 ,  44 , (i.e., those potential red-eye regions  40 ,  42 ,  44 , which have not been eliminated in steps S 15 A and S 15 B above) and their probabilities from pSC onto the corresponding regions  60 ,  62 ,  64  in pR2. During this step, regions whose size changes too much between pR2 and pSC are eliminated, as for red-eye regions the size should only change by a limited factor. 
     In this step, each probable red-eye region  40 ,  42 ,  44 , in pSC is first linked to the corresponding region  60 ,  62 ,  64 , respectively, in pR2. For example, for each region  40 ,  42 ,  44  in pSC, all overlapping regions  60 ,  62 ,  64 ,  66  in pR2 are determined. Regions  60 ,  62 ,  64 ,  66  in pR2 are identified as connected regions of pixels exceeding a threshold pR2 probability. For example, the threshold pR2 probability can be ¼ of the mean value of the probability that pR2 assigned to the pixels belonging to the region in pSC, although values of greater or less than ¼ are also contemplated, such as from 0.2 to about 0.3. From all overlapping regions,  60 ,  62 ,  64 ,  66  then the one that overlaps most (in terms of numbers of pixels) is chosen as the corresponding region  60 ,  62 ,  64 . 
     Then, the size of the regions  40 ,  42 ,  44  in pSC is compared with the size of the overlapping region  60 ,  62 ,  64  in pR2, respectively, to check that the regions are of comparable size. For example, for comparable regions  40 ,  60  the following test concerning the region size in number of pixels has to be passed:
 
 np 1&gt;¼ *np 2  Eqn. 19
 
     where np1 is the number of pixels in region  40  (pSC) 
     np2 is the number of pixels in the corresponding region  60  (pR2) 
     Similar tests are performed for each corresponding pair of regions,  42 ,  62  and  44 ,  64 . 
     If this fifth test is passed, and if the pR2 region  62 ,  64 ,  66  meets the desired size and shape criteria (S 15 A, S 15 B) concerning the characteristics of possible red-eye regions, the pR2 region  62 ,  64 ,  66  is retained, together with its probability values P=pR2. After this step the probability map assigns a value of P=0 to every pixel except those in the region or regions selected from  62 ,  64 ,  66  corresponding to the corresponding red-eye regions from pR2 that passed the size and shape tests. Optionally, the pR2 values are then scaled, e.g., by normalizing, dividing the value of pR2 by the maximum value of pR2 (pR2 max ) over the entire image:
 
 P=pR 2/ pR 2  max Eqn. 20
 
     By way of example, in the image illustrated in  FIG. 3 , for region  40 , the corresponding region  60  in pR2 is too large (the number of pixels in region  40  &lt;¼ the number of pixels in region  60 ) and is thus eliminated—all pR2 values are set to 0 in region  40 ; i.e., for this region, P=0. For region  42 , the corresponding region  62  in pR2 meets Eqn. 19 and thus region  42  probabilities are retained. For region  44 , the corresponding region  64  has the greatest area of overlap with region  44  and thus region  44  is retained. Region  66 , which is a region in pSc which overlaps with region  64  in pR2, has less of an overlap with region  44  than region  64 , and thus does not play a part in the decision regarding region  44 . 
     The next step (Step S 16 ) is determining a red-eye correction for each pixel having a probability P of &gt;0. In one embodiment, the higher the probability P, the greater the correction which is applied to the pixel. The correction can include increasing the blue and green components of the pixel and/or decreasing the red component of the pixel. In another embodiment, where a pixel has a probability P above a certain threshold, the red component of the pixel is set to zero. 
     For those pixels where a red-eye correction is to be made, the correction can take into account the color of the pixel, in terms of, for example, the red, green, and blue components of the pixel in question as well as the probability that the pixel is a red-eye pixel. This allows the saturation of the image to influence the correction and results in a correction which is more likely to reflect the saturation of surrounding areas. 
     For example, a red reduced value redReduced is assigned to the pixel which is a function of the green and blue values. For example, the red reduced value is an average of green and blue:
 
redReduced=( G+B )/2  Eqn. 21
 
     The G and B values are kept the same. Thus, in the exemplary pixel where R=220, G=130, B=90, redReduced=110. The probability P of the pixel being a red-eye is used to determine the relative contributions of the original red value and the red reduced value to the final red value in the image. The higher the value of P, the greater the weight that is placed on the red-reduced value. For example, the corrected red value Rcorrected can be determined from the expression:
 
 R corrected=(1− P )*original+ P *(redReduced)  Eqn. 22
 
     Thus, for P=¼, in the illustrated pixel,
 
 R corrected=¾*220+¼*110=192.5=193
 
     The red value is thus reduced in the final image from 220 to about 193, while the original green and blue values are retained. Thus the modified pixel is R=193, G=130, B=90. 
     In another embodiment, the red value is adjusted by raising the P value to a power. The modification of a pixel can thus be based on the following equation:
 
 R corrected=(1 −P ^(1/degree))* R original+ P ^(1/degree)*redReduced  Eqn. 23
 
in which Roriginal is the red value of the input image, redReduced is the red-reduced value of R, and degree is an algorithm parameter controlling the respective weight of the original and the redReduced values. Degrees of integer values from 1 to about 4 generally give good performance. In equation 22 above, the degree is 1. It is also contemplated that P^(1/degree) may be considered as the probability rather than P itself, thus the equation can be considered as:
 
 R corrected=(1− P ))* R original+ P *redReduced  Eqn. 24
 
     Where the image being evaluated is a low resolution image of an original image, the pixels in the original image which correspond to a pixel of the low resolution image for which a P value has been determined are all corrected in this last step by calculating redReduced values for each corresponding pixel in the original image and applying the same value of P to determine Rcorrected for each of these corresponding pixels. 
     In one embodiment, a user input allows a user to view the red-eye corrected image and accept or decline the correction (Substep S 16 C). 
     The various steps for determining the probabilities and applying the correction can be incorporated into software as an algorithm which automatically evaluates images and applies red-eye correction. An exemplary digital imaging device or a digital image processing apparatus  100  incorporating processing modules  102  is shown schematically in  FIG. 4 . The processing modules include a resolution selection module  104  for determining the resolution of an image and generating a lower resolution image in step S 12 , if appropriate. The processing modules also include a detection module  106  which includes components for performing steps S 14 A, S 14 B, S 14 C, S 14 D, and S 14 E, a testing module  108  for applying tests S 15 A, S 15 B, and S 15 C, and a correction module  110  including components for performing steps S 16 A, S 16 B, and optionally step S 16 C. The digital device  100  includes suitable memory  112 , accessed by the modules  102 , for storing the outputs of the steps and the original and modified images. The processing modules may communicate with a user interface  116  which allows a user to view the corrected image and accept or decline the correction. 
     To test the efficiency of the methodology, an algorithm for performing steps S 14 , S 15 , and S 16  can be implemented, for example, with Matlab™software and tested on a set of images, such as a hundred images. In general, execution of the overall algorithm may take up to about 2 seconds for 512×512 color images (about 2.5 mega pixels), running on a Pentium 42.66 GHz PC (e.g., 1.7 seconds for detection and 0.1 seconds for correction), where circularity (pSC) is determined for all pixels. If pSC is computed for fewer than all pixels, a decrease in implementation time to about 0.2 seconds, or less can be achieved. The results of the methodology may be compared with visual observations of the images which assess whether the algorithm has correctly identified the red-eyes. 
     It will be appreciated that various of the above-disclosed and other features and functions, or alternatives thereof, may be desirably combined into many other different systems or applications. Also that various presently unforeseen or unanticipated alternatives, modifications, variations or improvements therein may be subsequently made by those skilled in the art which are also intended to be encompassed by the following claims.