Abstract:
Disclosed is a two step process for automatically finding a human face in an electronically digitized image (for example, taken by handheld digital cameras and digital video-cameras such as cam-corders), and for confirming the existence of the face by examining facial features. Step 1 is to detect the human face and is accomplished in stages that include enhancing the digital image with a blurring filter and edge enhancer in order to better set forth the unique facial features such as wrinkles, and curved shapes of a facial image. After prefiltering, preselected curves sometimes referred to as snakelets are dropped on the image where they become aligned to the natural wrinkles and curves of a facial image. Step 2 is to confirm the existence of the human face in seven stages by finding facial features of the digital image encompassing the chin, sides of the face, virtual top of the head, eyes, mouth and nose of the image. Ratios of the distances between these found facial features can be compared to previously stored reference ratios for recognition. This method for detecting facial features of an image can be used in applications such as but not limited to detecting human faces for the gathering of population age-statistics from patrons at entertainment/amusement parks and television network viewer-rating studies. Such gathering can include counting the patrons, distinguishing certain age and gender groups, and/or identifying specific people. Computer vision with this capability can further have application in such fields as automated surveillance systems, demographic studies, automated photography for point-and-shoot cameras and human computer interactions. Automated photography can eliminate the manual adjustment problems that result in poor quality from lack of focused subjects. Computer systems can utilize this system to recognize and respond to the specific needs of a user, and further translate for human users.

Description:
This invention relates to detecting human faces, and in particular to a process for automatically finding and detecting a human face from digital images. This application is a continuation-in-part to application Ser. No. 08/198,816 filed on Feb. 18, 1994 now abandoned entitled Automatic Feature Detection and Age Categorization of Human Faces in Digital Images. 
    
    
     BACKGROUND AND PRIOR ART 
     Humans are generally able to categorize a person to a precise age group based on an image of the person&#39;s face. Humans also have the capability of recognizing familiar faces as well as recognizing facial expressions. For computers to have these visual capabilities would represent a major commercial advantage. However, current computer vision systems lack the ability of finding faces in images and completing facial analysis. 
     U.S. Pat. No. 3,805,238 to Rothjell describes a method of identifying human beings using selected facial body curves. However, this patent is limited to the facial side profiles and does not analyze minute detailed curves such as the facial wrinkles which are unique to each human being and is not specifically concerned with digitally created images. U.S. Pat. No. 4,975,969 to Tal describes analyzing facial parameters. However, this patent also does not analyze the unique facial features of the subject being examined. U.S. Pat. No. 5,163,094 to Prokoski et al. describes a system for identifying individuals from images. However, this patent restricts the detected image to that taken by a thermogram. The thermogram pictures used in Prokoski et al. generally center on various heat levels that are broadly generated by a face but the thermograph pictures themselves do not recognize or show the specific wrinkles that are unique to each individual&#39;s face. 
     Using computer vision to analyze for faces and to interpret facial-expressions, can be used in various application areas such as but not limited to the gathering of population and age-statistics from patrons at entertainment/amusement parks and television network viewer-rating studies. Computer vision with this capability can further have application in such fields as automated security/surveillance systems, demographic studies, safety monitoring systems, human interfaces to computers, and automated photography. 
     Current problems exist with manual operated cameras. In photography, one may wish to aim the camera in the vicinity of a subjects face and have the camera center itself on that face automatically. Normally, users must take time to manually adjust the camera lens and the body of the camera itself. Such manual adjustments would also be needed if the person taking a picture must search for a single recognized face from multiple faces in a scene. With manual adjustments, the quality of the pictures can than depend upon the skill of the user. The manual adjustments usually results in different users taking nonuniform pictures of dissimilar quality if they all use the same camera at different times. An automated point-and-shoot camera and camcorder would eliminate the adjustment problems prevalent from making manual adjustments. None of the prior art listed above allows for detecting a facial image that would allow for a camera to automatically align itself to point and shoot a subject Automated point-and-shoot cameras using face detection technology can create pictures of a uniform quality by different users. 
     Another problem exists where computers are interacting and responding to human users. While computers may be able to differentiate between audible word commands, the inventors are not aware of any such systems that will allow a computer to interpret and respond to the facial images of a user. For example, a human&#39;s moves their lips to say no, and/or frowns, and/or shakes their head from side-to-side, another person naturally interprets these expressions as a negative response to a question even when no sounds are audible. None of the prior art cited above addresses the problems of recognizing the common meaning intended by a particular facial feature. Thus, in human computer interfaces it is advantageous to be able to find the human face in the scene, so that the computer can respond to the facial expression of the human, and then be able to interpret the plain meaning of the facial features of that human. Utilizing a computer to translate the facial features of a human can have significant applications such as but not limited to serving the needs of the blind and deaf. 
     SUMMARY OF THE INVENTION 
     The first objective of the present invention is to provide an automatic method for detecting a human face from a digital image. 
     The second object of this invention is to provide a method of using computer vision to recognize the existence of a facial image from a digital image. 
     The third object of this invention is to provide a method of confirming that facial features exist from the detected human face. 
     A fourth object of this invention is to provide a method to interpret and recognize the common meaning intended by the facial image. 
     A preferred embodiment is described for using a two step process for automatically finding a human face in an electronically digitized image (for example, taken by a video-camera), and for confirming the existence of the face by examining facial features. The first step is to detect the human face and is accomplished in five stages. Stage one is to convolve a digital image with a blurring filter and with an edge enhancer. Stage two is to drop a population of preselected curves, sometimes referred to as snakelets, onto the digital image. Stage three is to eliminate these curves from plateaus, Stage four is having the curve nodes vote for a facial oval. Stage five of the first step is to allow for non-maximal suppression of the votes from step four. Step 2 is to confirm the existence of the human face in seven stages by: 1. finding an initial rough oval that encompasses the chin from the image; 2. adjusting the oval to find the chin of a face; 3. finding the sides of a face; 4. finding the eyes in the face; 5. finding the mouth of the face; 6. finding the nose of the face; and 7 verifying the normalicy of facial feature ratios from the found facial features of stages 3 through 6. Ratios of the distances between these found facial features can be compared to previously stored reference ratios for recognition. 
     Further objects and advantages of this invention will be apparent from the following detailed description of a presently preferred embodiment which is illustrated schematically in the accompanying drawings. 
    
    
     BRIEF DESCRIPTION OF THE FIGURES 
     FIG. 1 is a flow chart overview of the two step process used in the preferred embodiment for the invention. 
     FIG. 2 illustrates the five stages followed in step one of FIG. 1. 
     FIG. 3 illustrates the seven stages followed in step two of FIG. 1. 
     FIG. 4 shows the directional derivative orthogonal to the snakelet curve for each side of the snakelet used in stage 3 of FIG. 2. 
     FIGS. 5a through 5d illustrate the resultant images using the five stages of FIG. 2. 
     FIG. 6 shows a face template with the parameters used for oval-fitting and eye fitting. 
     FIGS. 7a through 7f illustrates the process followed in the oval fitting stage of FIG. 3. 
     FIGS. 8a through 8f illustrates the various stages followed in a chin finding procedure of FIG. 3. 
     FIGS. 9a and 9b, respectively shows the right and left open-ended parabolas. 
     FIGS. 10a through 10e illustrates the changes followed in locating the left and right sides of the face used in FIG. 3. 
     FIGS. 11a through 11f shows the outcome for finding a virtual head of FIG. 3 from an original image. 
     FIG. 12 shows the snakelets and chin-point that is used in the virtual top of head finding algorithm used in one of the stages of FIG. 3. 
     FIGS. 13a through 13i shows the various levels of the Iris-attracting and fitting stage. 
     FIGS. 14a through 14d shows the outcome of locating the center of the mouth, and the bottom of the nose. 
     FIGS. 15a through 15f illustrates the six ratios that are to be evaluated for age classification for Step 2 of FIG. 2. 
     FIGS. 16a through 16y shows the original images for the baby class. 
     FIGS. 17a through 17y shows the final fit for the baby class of FIGS. 16a through 16y. 
     FIGS. 18a through 18v shows the original image for the adult and senior class. 
     FIGS. 19a through 19v shows the final fit for the adult and senior class of FIGS. 18a through 18v. 
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT 
     Before explaining the disclosed embodiment of the present invention in detail it is to be understood that the invention is not limited in its application to the details of the particular arrangement shown since the invention is capable of other embodiments. Also, the terminology used herein is for the purpose of description and not of limitation. 
     FIG. 1 is a flow chart overview of the two step process used in the preferred embodiment for the invention. The first step A, 100, covers finding a candidate face from a digital image. The details of this step are illustrated in FIG. 2. The second step B, 200, is to confirm that facial features exist from the candidate face. 
     FIG. 2 illustrates the five stages followed in step one of FIG. 1, and are broadly discussed as follows. In stage one, 110, the image is convolved with a blurring filter and edge enhancer. In stage two, 120, snakelets are dropped onto the image. In stage three, 130, snakelets are eliminated from plateaus. In stage four, 140, snakelet nodes vote for face ovals. In stage five, 500, there occurs a non-maximal suppression of votes. 
     FIG. 3 illustrates the seven stages followed in step two of FIG. 1, where facial features in a candidate face are confirmed to exist and are broadly discussed as follows. Stage one, 210, is to find a initial rough oval about the face. Stage two, 220, is to find the chin and adjust the oval accordingly. Stage three, 230, is to find the sides of the face. Stage three, 240, is to find the eyes of the face. Stage four, 250, is to find the mouth of the face. Stage five, 260, is to find the nose of the face. Stage seven, 270, is to verify that facial features are located in typical positions. 
     STEP A: FIND CANDIDATE FACES 
     Digital images are generally two dimensional arrays of numbers that each represent the level of brightness at each pixel in the image. Referring to FIG. 2, in stage one, 110, of Step A, the digital image is prefiltered with a blurring filter and edge enhancer. A blurring filter is when you take a region of pixels from the image and take their weighted sum value and assign that result to the center of that region and do this to every possible center of a region in the image. An example is assigning all the weights to be 1/n where n is the number of pixels in the region. An edge enhancer is a filter that will increase the intensity variation near an actual edge in the image. An edge in an image is a discontinuity in the intensity of the image or in its rate of change. An example of combining both a blurring filter with an edge enhancer is described in parent application Ser. No. 08/198,816 now abandoned which is incorporated by reference, which uses a exponential filter and a morphological operator as a blurring filter and edge enhancer, respectively. Thus, the digital image is prefiltered at step one, 110 of FIG. 1, in order to enhance the edges of the image. 
     Referring to FIG. 2, in stage two, 120, small preselected curves sometimes referred to as snakelets, are dropped onto the image. This process has sometimes been referred to as snakes. Snakes is a method for matching a model of a curve to an actual curve in a general image. Kass M., Witkin A. and Terzopoulos D. (1988), &#34;Snakes: Active Contour Models&#34;, International Journal of Computer Vision, pp. 321-331. 
     We use snakes to find pieces of curves, such as a piece of a wrinkle or a piece of a chin, or a piece of a side of a face and the like. These pieces of snakes, we call snakelets. In a digital image where intensity values in that image can be interpreted as height, a snake is a curve, representing a string of connected pixels, such that this curve will tend to adjust itself so that it falls into a local valley. Hence, such a curve is first dropped somewhere (fitting over certain pixels), then the connected curve will tend to slither down the intensity valley till it stabilizes and slithers no more. The manner in which stabilization is evaluated by adding together the intensity values beneath a snake. See FIG. 4. Then if by moving one of the points to a neighboring pixel, the sum can be decreased, the movement is carried out If the movement will increase the overall sum, it is not carried out. After all possibilities have been examined, the snake is said to be stabilized, when no more movement occurs amongst the connected pixels, and the snakes become aligned to and generally match a natural curve in the image. See FIGS. 5a-5d. 
     In stage two, 120, of FIG. 2, multiple snakelets are dropped in random orientations in a grid, one per grid point, in a rectangular region that spans the whole image until the snakelets have stabilized. Those snakelets that have found shallow type valleys also referred to as plateaus are eliminated in the next step. 
     In stage three, 130, of FIG. 2, snakelets are eliminated from plateaus. In order to eliminate snakelets that do not correspond to intensity edges, shallow potential valleys in which snakelets have settled are detected. A shallow valley is detected according to the following: For each point in a snakelet, the directional derivative (of the raw image intensity) taken orthogonal to the snakelet curve is calculated. FIG. 4 shows the directional derivative orthogonal to the snakelet curve for each side of the snakelet. 
     Referring to FIG. 4, the snakelet points are summed separately for each side of the snakelet and normalized for the number of points in the snakelet, to obtain two sums that indicate the steepness of the valley the snakelet is occupying. If these steepness sums do not exceed some preselected threshold, the snakelet is then eliminated. In this process, only those snakelets that lie in a deep enough edge-potential valley survive. By &#34;deep enough&#34;, we mean valleys that are not shallow. 
     In stage four, 140, of FIG. 2, snakelets vote for oval curves of a facial image by using a Hough Transform function. The snakelet survivors, (that is those that are in deep-enough valleys) then are used to obtain a Hough Transform for the ovals (ellipses) that the curves belong to. The Hough Transform which is used for overall voting is implemented in two stages. First, the two end-points of each snakelet vote for a center of the oval. The equations (1) and (2) for two points #(x 1 ,y 1 )# and (x 2 ,y 2 ) on an oval centered at (x c ,y c ), as follows, ##EQU1## where; x 1  is the horizontal coordinate of the first of two points. 
     y 1  is the vertical coordinate of the first of two points. 
     x 2  is the horizontal coordinate of the second of two points. 
     y 2  is the vertical coordinate of the second of two points. 
     x c  is the horizontal coordinate of the center of the oval. 
     y c  is the vertical coordinate of the center of the oval. 
     a is the first oval parameter. 
     b is the second oval parameter. 
     Equations (1) and (2) are combined to form equation (3) as follows: ##EQU2## 
     Thus, for every pair of snakelet end-points or nodes and given a particular value for (x c ,y c ). a value for &#34;b&#34; is computed. By dividing the possible values of &#34;b&#34; into several intervals, support for coarsely binned (intervals are called bins) values, of b is computed across all possible values of the center (x c ,y c ). In other words, snakelet nodes vote for a face oval. After which stage five of FIG. 2 occurs 
     In Stage five, 150, FIG. 2, non-maximal suppression is then performed on values of b. This means that for a range of possible values of b only local peaks in the votes(most popular values of &#34;b&#34;) are recorded for subsequent processing. 
     The next part of the Hough Transform which is a voting procedure, is performed on all component points #(x i ,y i )# to obtain the parameter a, according to equation (4). ##EQU3## where: x 1  is the horizontal coordinate of the i th point. 
     y 1  is the vertical coordinate of the i th point. 
     intensity of the image or in its rate of change. In FIG. 6, the potential image for the edge φ edge  was generated by first applying a morphological operator of close(21) and then blurring it by using an exponential filter e -a  (x 2  +y 2 ) 1/2  with an α of 0.8. A morphological operator applies an operator to an image in three steps: first the image has its similar-intensity regions broadened; second another version has its similar-intensity regions narrowed; and third, the second version is substracted from the first. The potential image for the valley (which is the region of lowest intensity in the image) was generated by first applying a morphological operator which first broadens the similar-intensity regions, and then narrows them, and then blurring it by using an exponential filter with an α value of 0.4. 
     The eye potential image is the potential image to assist finding the eye; this potential image is generated by a first difference operator of size 3, in both X and Y directions. The symbols in FIG. 6 breakdown as follows: 
     Oval Center (x0, y0) is the center of the oval. 
     fa is half the horizontal width of the oval through its center 
     fb is half the vertical height of the oval through its center 
     r is the radius of the left iris; it is also the radius of the right iris. 
     leye (x,y) is the center position of the left iris 
     reye (x,y) is the center position of the right iris 
     nose (x,y) is the position of the base of the nose 
     mouth (x,y) is the center of the mouth 
     chin (x,y) is the lowest point of the chin 
     FIND INITIAL ROUGH OVAL 
     The initial oval-finding stage 210 uses the edge-image potential to find the best oval that fits the image. 
     
         E.sub.oval.sbsp.--.sub.total =E.sub.edge +E.sub.internal ##EQU4## 
    
     
         E.sub.internal =k.sub.1 (X.sub.e -X.sub.c)+k.sub.1 (Y.sub.e -Y.sub.c -(0.1)f.sub.b)+k.sub.2 (f.sub.a -0.7f.sub.b)+k.sub.3.spsb.e.sup.-β.sbsp.1.sup.f.sbsp.a +k.sub.3.spsb.e.sup.-β.sbsp.3.sup.r 
    
     The coefficients used are: c 2  =200, C 3  =100, k 1  =100, k 2  =100 000, β 1  =0.04, β 2  =0.028. 
     The oval axes half-lengths (f a ,f b ), are initialized with a value and the oval is positioned inside the face perimeter. The k 1  term force draws the oval center downward because the oval center found in-stage 1 is biased towards the top due to the inclusion of hair in stage 1. The k 1  term also maintains the horizontal component of the center close to where it was initially dropped. The k 3  terms are an outward forcing term of each half-length to prevent the oval from becoming too small. The k 3  term also helps to overcome the possibility of the lower edge of the oval stabilizing around the mouth. The k 2  term tries to maintain a ratio that is reasonable for a face. 
     The fitting of the oval is performed by iteratively updating the oval center position and the oval axes half-lengths (f a , f b ), The update formula is obtained by gradient descent with respect to these four parameters. The stage is complete when the total energy stabilizes around a minimum value. FIG. 7 illustrates the process followed in the oval fitting stage. FIG. 7a shows an original image. FIG. 7b shows the image with a negative edge potential. FIGS. 7c through 7f show the various stages of fitting the oval until a final fit has been reached. 
     CHIN-FINDING STAGE 
     The chin-finding stage 220 of FIG. 3, uses the edge-image potential to find the bottom of the chin. First, multiple snakelets are dropped in random orientations in a grid, one per grid point, in a rectangular region of width 3/2F a  centered at the vertical axis of the oval center, and of height 1/4f b  to the top and 1/8f b  to the bottom positioned from the horizontal axis tangent to the bottom of the oval. 
     Snakes is a method for matching a model of a curve to a curve in a general image. Kass M., Witkin A. and Terzopoulos D. (1988), &#34;Snakes: Active contour models&#34;, International Journal of Computer Vision, pp. 321-331. We use snakes to find pieces of curves, such as a piece of a wrinkle or a piece of a chin, or a piece of a side of a face. These pieces of snakes, we call snakelets. 
     After all the snakelets have stabilized, they are used to obtain a voting scheme for the strongest parabola in that region. The voting scheme is implemented in two stages. First, each snakelet votes for a coarse candidate position for the base of the parabola. Non-maximal suppression is performed on these votes, and the best five are chosen. Amongst these five, the one that is located in the highest position on the face (to eliminate parabolas corresponding to necklines of clothing, or of the shadow formed by the chin) is chosen. Then, the snakelets that voted for this winning position of the base are identified, and a finer search of the base is performed in a similar manner. 
     This leads to detection of the chin, when it is delineated in the raw image. If the image quality is poor, or illumination conditions are bad, the correct position of the chin is very difficult to find. 
     Determination of whether a chin is found is currently done by human visual inspection. If it has been found, it is used in three places: to refine the initial oval; to find the virtual top of the head using also the sides of the face (see upcoming sections on &#34;Face Side-finding stage&#34; and &#34;Finding the virtual top of the head&#34;); and to be used in ratios 3a and 5a. If it is determined that it is not found, the bottom of the initial oval is used in the ratios, thus requiring ratios 3b and 5b. In these ratios, the chin is referred as &#34;ochin&#34; (for oval-chin). 
     FIG. 8 illustrates the various stages followed in a chin finding procedure. FIG. 8a shows an original image. FIG. 8b shows the image with a negative of edge potential. FIG. 8c shows the image after snakelets have been dropped. FIG. 8d shows the image with snakelets at an intermediate stage. FIG. 8e shows the snakelets in a stabilized form. FIG. 8f shows the winner in Hough space marked with and &#34;X&#34;, which signifies the chin in the image. 
     FACE SIDE-FINDING STAGE 
     The face side-finding stage 230 of FIG. 3, uses the edge-image potential to find the left and right sides of the face. This stage uses the parabola-fitting algorithm, except that the parabola equations are modified to suit the left and right open-ended parabolas. FIGS. 9a and 9b shows the right and left open-ended parabolas. FIG. 9a shows a right open-ended parabola used to fit the left side of a face. FIG. 9b shows a left open-ended parabola that is used to fit the right side of a face. The parabola-fitting algorithm is as follows: ##EQU5## For the right open-ended parabola of FIG. 9a, the parabola equation is: 
     
         x=k(y-c).sup.2 +h 
    
     For the left open-ended parabola of FIG. 9b, the parabola equation is: 
     
         x=-k(y-c).sup.2 +h 
    
     FIG. 10 illustrates the changes followed in locating the left and right sides of the face. This process works even under conditions that are not ideal, except when the ear is too close to the side of the face, or when there is dishevelled hair below the lower half of the face. FIG. 10a shows the original image. FIG. 10b shows the negative of the edge-image potential. FIG. 10c shows a rectangular grid of randomly oriented snakelets dropped on each side of the initial oval. FIG. 10d shows the image with the snakelets settling down. FIG. 10e shows the symbol &#34;X&#34; on each side that marks the base point of the parabola for that side of the face. 
     FINDING THE VIRTUAL TOP OF THE HEAD 
     Computing the virtual top of head in stage 240 of FIG. 3 is very difficult to estimate when the person has hair on their head. Hence, an alternative strategy is used here. 
     At this stage, the three pools of snakelets that voted for winning parabolas in FIG. 10e are pooled, and a single oval is fit to all the snakelets&#39; points. The oval is used to find the virtual top of the head, as confined by the snakelets that supported the parabolas of the chin and sides of the face. The purpose of this is to have an estimate of the ratio of the height of the eyes from the chin, relative to the virtual top of the head. This process can be affected by the errors in finding the sides of the face, which in turn are affected by dishevelled hair in the lower half of the face, and a ear that is too close to the side of the face. 
     FIGS. 11a through 11f shows the outcome for one of the successful cases. FIG. 11a shows an original image. FIG. 11b shows the negative of edge potential of that image. FIG. 11c shows original snakelets dropped for the chin and the sides of face. FIG. 11d shows the snakelets after they have settled down. FIG. 11e shows snakelets that support the three parabolas. FIG. 11f shows that the fit of the face-oval has been refined. Wherein the virtual top of the head is the top of the oval shown in FIG. 11f. 
     The following is a numerical description of the process of estimating the oval for the virtual top of the head. The parametric form of the oval equation is as follows: 
     
         x=f.sub.a *cosθ+x.sub.0 
    
     
         y=f.sub.b *sinθ+y.sub.0 
    
     where 
     (x 0 ,y 0 )=oval-center, 
     (x, y)=point on the oval-edge, 
     θ=angle from the x-axis, 
     (f a ,f b )=the respective x and y distances from the oval-center 
     Given (x, y), (x 0 , y 0 ) and f b , we can solve for f a  : 
     
         θ=sin.sup.-1  (y-y.sub.0)/f.sub.b ! 
    
     
         f.sub.a =(x-x.sub.0)/cosθ 
    
     FIG. 12 shows the snakelets and chin --  point that is used in the virtual top of head finding algorithm used in one of the stages of FIG. 3. FIG. 12 shows the resulting snakelets of the parabola-fitting for the three groups. These snakelets are then used as an input to the virtual top of the head finding algorithm. The algorithm for finding the virtual top of the head is as follows: ##EQU6## EYE-FINDING STAGE 
     The eye-finding stage 250 of FIG. 3 consists of an iris-attracting sub-stage and an iris-fitting substage. 
     The iris-attracting sub-stage places both the left and the right iris center of the template (FIG. 6) near the respective iris centers in the image specified by the oval parameter. 
     Using the parameters from the refined oval (or the initial oval), both the left and the right iris centers of the template are placed near the respective irises in the image. The left iris center is placed 1/10f b , above oval center for y and 1/2f a  left of the oval center for x. Similarly, the right iris center is placed 1/10f b  above oval center for y and 1/2f a  right of the oval center for x. The iris-attracting stage uses the valley image potential φ valley  and the intensity image potential φ intensity  to attract both left and right iris centers to their true positions. ##EQU7## The coefficients used are: c 4  =100, c 5  =300. 
     The iris centers are initially positioned, guided by the oval parameters. The valley potential is strong around the actual iris area and it draws the iris/eye template over a substantial distance. The update is by gradient descent which is a procedure that changes the parameters in such a manner that causes the strongest possible decrease in the E eye .sbsp.-- total . The oval parameters are not allowed to change in this stage. Thus, only a change in the iris parameters will update the total energy value. 
     For the his-fitting substage, the equations from the Iris-attracting stage and additional equations for each of the energy potentials are used. Also an internal energy term is introduced to prevent the iris radius from collapsing to a point. The equations used are as follows: 
     
         E.sub.iris.sbsp.--.sub.total =E.sub.intensity.sbsp.--.sub.total +E.sub.valley.sbsp.--.sub.total +E.sub.eye.sbsp.--.sub.total E.sub.internal 
    
     
         E.sub.intensity.sbsp.--.sub.total =E.sub.intensity.sbsp.--.sub.eye +E.sub.intensity.sbsp.--.sub.iris 
    
     
         E.sub.valley.sbsp.--.sub.total =E.sub.valley.sbsp.--.sub.eye +E.sub.valley.sbsp.--.sub.iris 
    
     
         E.sub.eye.sbsp.--.sub.total =E.sub.eye.sbsp.--.sub.eye +E.sub.eye.sbsp.--.sub.iris 
    
     E intensity .sbsp.-- eye  same as in Iris-attracting stage ##EQU8## 
     E valley .sbsp.-- eye  same as Iris-attracting stage ##EQU9## 
     E eye .sbsp.-- eye  same as in Iris-attracting stage ##EQU10## The coefficients used are: c 4  =100, c 5  =300, C 7  =200, c 8  =100, c 9  =150, k 4  =80000, β 3  =0.6. 
     The iris-fitting sub-stage uses the intensity image potential φ intensity , the valley image potential φ valley , the eye image potential φ eye  to fit the iris template to the actual image. The k 4  term is an outward force that prevents the radius of the iris from becoming too small. The darkness of the iris area from the intensity image and the brightness of the iris area from the valley image potential along with the iris edge information from the eye image potential will guide the fitting of the iris template to the image. The eye parameters a, b, c (these are constants controlling the boundary of the eye) are scaled with respect to the radius of the iris and these parameters are used to clip the iris disc to a partial disc. The only parameters allowed to change in this stage are both the iris centers and the scale of the iris template. The parameters are updated by gradient descent. 
     FIG. 13a through 13i shows the outcome of the iris-attracting and fitting substages. FIG. 13a shows an original image. FIG. 13b shows an edge potential of that image. FIG. 13c shows the valley potential. FIG. 13d shows the edge potential shown just for eyes. FIGS. 13e through 13g shows the iris attracting sub-stage. FIGS. 13h through 13i shows the substage for iris-fitting. 
     FINDING THE MOUTH 
     Stage250 of FIG. 3 covers finding the mouth (as shown in the template of FIG. 6) as the next stage. After finding both iris centers, a vertical axis half way between the two irises is computed. The search area for the mouth is determined by a rectangular region of width 4/3f a , centered at the vertical axis, and of height 0.5f b  centered at 0.5f b  from the bottom of the oval. This area is large enough so that the mouth is guaranteed to be within this region. An averaging filter which takes the average of the numbers it is processing, with mask size of (31×5) is convolved with the mouth area to produce the mouth image potential φ mouth  which is just the output from applying the averaging filter above. From the mouth image potential, each horizontal line is summed and the one with the maximum sum is selected as the position of the center of the mouth. FIG. 14 to be discussed in the next section details the outcome of locating the center of the mouth. 
     FINDING THE NOSE 
     After the mouth is found, the next stage is finding the nose 260 FIG. 3. Here, an area for the nose (as shown in the template of FIG. 6) is determined guided by the vertical axis, the mouth, and the eye. The nose is searched for in a rectangular region bounded vertically by the middle 60% of the distance between the eyes and the mouth, and horizontally by the 2 eye-centers. Similar to the mouth stage, an averaging filter with mask size (31×5)) is applied to the nose area to produce a nose image potential # From the nose image potential, each horizontal line is summed and the one with the maximum is selected as the position of the bottom of the nose. The mask size will vary with the oval size. 
     FIGS. 14a through 14d shows the outcome of locating the center of the mouth, and the bottom of the nose. FIG. 14a shows an original image. FIG. 14b shows a final mouth and nose-fit over the original image. FIG. 14c shows an enlarged mouth potential from the image. FIG. 14d shows an enlarged nose potential from the image. 
     VERIFY NORMALICY OF FACIAL FEATURE STAGE: 
     The results obtained from facial feature detection, which encompass stages 210 through 270 in FIG. 3 are categorized in tables. Tables I and 2 show the positions detected for the various primary facial features. For the columns labelled oval, leye, reye, nose, mouth, chin, the values of x and y represent the coordinates that are measured in pixel units. The values of fa and fb in the column labelled oval represent the measured half-lengths of the oval in pixel units. Tables 3 and 4 indicate human evaluation of these results. All the faces used in these experiments are shown with their facial feature fits in FIGS. 16 through 19. FIGS. 16a through 16y show the original images for the baby class. FIGS. 17a through 17y show the final fit for each of the images of FIGS. 16a through 16y. FIGS. 18a through 18v show the original images for the adult and senior class. FIGS. 19a through 19v show the final fit for each of the images of FIGS. 18a through 18v. These evaluations are used to decide which data to include in evaluating whether a ratio is appropriate for classification. Here, the candidate face is judged for its facial feature ratios, to see if these ratios fall into the range acceptable for the range of babies to adults. If the computed ratios agree with the pre-known ratios, then the candidate face is accepted. 
     
                                           TABLE 1__________________________________________________________________________Results of the facial feature data found for baby class.oval      leye  reye  nose  mouth chin ovalsubject    x  y  x  y  x  y  x  y  x  y  x  y f.sub.a                                    f.sub.b__________________________________________________________________________baby01    140  105     113        106           165              110                 139                    73 139                          52 146                                19                                  61                                    85baby02    143  118     114        139           174              135                 144                    98 144                          76 142                                40                                  59                                    77baby03    134  145     117        152           151              152                 134                    128                       134                          114                             132                                93                                  43                                    57baby04    131  125     109        138           151              136                 130                    109                       130                          92 131                                64                                  46                                    60baby05    140  119     120        131           164              131                 142                    97 142                          84 142                                55                                  49                                    65baby08    122  122      92        120           146              120                 119                    80 119                          58 113                                21                                  72                                    100baby10    -- -- 110        115           166              115                 138                    79 138                          58 -- --                                  --                                    --baby12    129   95     104        104           154              100                 129                    70 129                          49 -- --                                  64                                    84baby13    131  127     107        139           153              139                 130                    110                       130                          91 -- --                                  52                                    62baby1495  149      73        157           115              155                  94                    127                        94                          110                              83                                86                                  49                                    65baby15    -- -- 107        112           157              114                 132                    80 132                          60 -- --                                  --                                    --baby16    -- -- 114        135           158              133                 136                    105                       136                          89 -- --                                  --                                    --baby17    133  118     109        118           163              116                 136                    82 136                          58 -- --                                  67                                    91baby18    142  125     116        137           168              137                 142                    99 142                          75 144                                37                                  61                                    85baby19    -- -- 113        141           167              141                 140                    115                       140                          88 -- --                                  --                                    --baby20    136  121     114        118           158              122                 136                    93 136                          74 129                                54                                  52                                    70baby21    -- -- 100        137           152              139                 126                    108                       126                          85 -- --                                  --                                    --baby22    131  138     112        149           152              147                 132                    120                       132                          105                             -- --                                  48                                    66baby24    142  123     125        129           177              131                 151                    100                       151                          84 152                                44                                  57                                    79baby25    -- --  94        122           148              120                 121                    91 121                          66 -- --                                  --                                    --b02 -- -- 106        128           154              128                 130                    97 130                          73 -- --                                  --                                    --b06 -- -- 120        143           166              145                 143                    111                       143                          93 145                                55                                  63                                    87b07 145  119     131        117           179              117                 155                    84 155                          64 -- --                                  72                                    88b09 -- --  92        136           146              136                 119                    105                       119                          85 -- --                                  --                                    --b18 -- --  84        157           124              159                 104                    135                       104                          118                             -- --                                  --                                    --__________________________________________________________________________ 
    
     
                                           TABLE 2__________________________________________________________________________Results of the facial feature data found for adult and senior classes.oval      leye  reye  nose  mouth chin ovalsubject    x  y  x  y  x  y  x  y  x  y  x  y f.sub.a                                    f.sub.b__________________________________________________________________________snr01    131  117      97        115           159              119                 128                     65                       128                          49 -- --                                  73                                    103snr02    131  137     103        144           155              144                 129                    114                       -- -- -- --                                  67                                    83snr03    -- --  96        138           -- -- 123                    111                       123                          89 -- --                                  --                                    --snr05    -- -- 114        151           164              147                 139                    114                       139                          96 -- --                                  --                                    --snr06    123  128     101        129           143              131                 122                    105                       122                          87 -- --                                  50                                    66snr07    131  157     -- -- -- -- 134                    126                       134                          107                             -- --                                  54                                    76snr10    -- -- -- -- 159              155                 134                    116                       134                          97 -- --                                  --                                    --snr11    132  147     113        154           155              152                 -- -- 134                          111                             -- --                                  51                                    71snr15    128  149     105        158           147              160                 -- -- 126                          100                             -- --                                  60                                    84snr18    131  128     104        139           166              139                 135                     85                       135                          63 -- --                                  73                                    103s01 134  107     107        125           163              125                 135                     87                       135                          65 146                                31                                  59                                    81s10 115  111      87        129           141              129                 114                     89                       114                          67 102                                38                                  55                                    73s11 -- -- 119        132           175              130                 147                     92                       147                          72 -- --                                  --                                    --s12 120  142      94        158           152              156                 123                    119                       123                          95 120                                61                                  60                                    82adult01    129  136      95        147           163              149                 129                    100                       129                          70 131                                20                                  81                                    113adult04    126  112     106        129           152              127                 129                     92                       129                          70 126                                37                                  60                                    74a01 -- -- 104        146           144              146                 124                    112                       124                          98 123                                69                                  45                                    59a02 125  137     103        152           147              148                 125                    116                       125                          103                             127                                73                                  47                                    63a04 132  140     110        153           150              155                 130                    121                       130                          111                             133                                80                                  49                                    59a06 139  132     118        152           158              152                 138                    116                       138                          103                             140                                76                                  41                                    53a12 -- -- 123        136           159              132                 141                    104                       141                          92 -- --                                  --                                    --a19 126  153     107        170           151              168                 129                    142                       129                          124                             128                                94                                  47                                    59__________________________________________________________________________ 
    
     
                       TABLE 3______________________________________Results indicating how well the facial feature fits were for the babyclass. The quality of these fits were judged by human inspection.An automatic procedure for this appears to be difficult to design.subject oval   leye   reye nose mouth chin   comments______________________________________baby01 VG     VG     VG   VG   VG    VG     Nonebaby02 VG     VG     VG   VG   VG    VG     Nonebaby03 VG     VG     VG   VG   VG    VG     Nonebaby04 VG     VG     VG   VG   VG    VG     Nonebaby05 VG     G      G    VG   VG    VG     Nonebaby08 VG     VG     VG   VG   VG    VG     +5 deg,                                      OMFbaby10 P      VG     VG   VG   VG    P      Nonebaby12 VG     VG     VG   VG   VG    CNF, UO                                      Expr, OMFbaby13 VG     VG     VG   VG   VG    CNF, UO                                      OMFbaby14 VG     VG     VG   VG   VG    G      Nonebaby15 P      VG     VG   VG   VG    P      Nonebaby16 P      VG     VG   VG   VG    P      +2 degbaby17 VG     VG     VG   VG   VG    CNF, UO                                      +2 degbaby18 VG     VG     VG   VG   VG    G      Nonebaby19 P      VG     VG   VG   VG    P      Nonebaby20 VG     VG     VG   VG   VG    G      Nonebaby21 P      G      G    VG   VG    P      Nonebaby22 G      VG     VG   VG   VG    CNF, UO                                      Nonebaby24 G      VG     VG   VG   VG    G      +3 degbaby25 P      G      VG   VG   VG    P      +3 degb02   P      G      VG   VG   VG    P      Noneb06   P      G      G    VG   VG    VG     +1 degb07   VG     VG     VG   VG   VG    P, UO  +1 degb09   P      VG     VG   VG   VG    P      +1 degb18   P      VG     VG   VG   VG    P      +2 deg______________________________________ VG = Very Good, G = Good, P = Poor, UO = Use Oval to compute chin, CNF = Chin Not Found OMF = Oval Manually Found +x deg = amount of rotation of the face 
    
     
                       TABLE 4______________________________________Results indicating how well the facial feature fits were for the adultandsenior classes. The quality of these fits were judged by human inspec-tion. An automatic procedure for this appears to be difficult to design.subject  oval   leye   reye nose mouth chin   comments______________________________________snr01  VG     VG     VG   G    VG    CNF, UO                                       Nonesnr02  VG     VG     VG   VG   P     CNF, UO                                       Nonesnr03  P      VG     P    VG   VG    P      Nonesnr05  P      VG     G    VG   VG    P      +2 degsnr06  VG     VG     VG   VG   VG    CNF, UO                                       Nonesnr07  VG     P      P    VG   VG    CNF, UO                                       Nonesnr10  P      P      G    VG   VG    P      Nonesnr11  G      G      VG   P    VG    CNF, UO                                       Exprsnr15  VG     VG     G    P    VG    CNF, UO                                       Nonesnr18  VG     VG     G    G    VG    CNF, UO                                       Nones01    VG     VG     G    VG   VG    G      Nones10    G      VG     VG   VG   VG    G      Nones11    P      VG     VG   VG   VG    P      Exprs12    VG     G      VG   VG   VG    G      Noneadult01  G      VG     VG   VG   VG    VG     Noneadult04  VG     VG     VG   VG   VG    VG     Nonea01    P      VG     VG   VG   VG    VG     Nonea02    G      VG     VG   VG   VG    VG     Nonea04    VG     VG     VG   VG   VG    VG     Expra06    G      G      G    G    VG    VG     Nonea12    P      VG     VG   G    VG    P      Expra19    VG     VG     VG   VG   VG    VG     None______________________________________ VG = Very Good, G = Good, P = Poor, UO = Use Oval to compute chin, CNF = Chin Not Found OMF = Oval Manually Found +x deg = amount of rotation of the face 
    
     After the primary facial features have been located, they can be used to compute the ratios for age classification: Six ratios are evaluated as shown in FIGS. 15a through 15b. The term &#34;abs() signifies the absolute value within. ##EQU11## 
     The measurements used in the ratio are presented in Tables 5 and 6. In these tables, &#34;ochin&#34; refers to oval-chin, which is calculated as the base of the initial oval. The term &#34;ochin&#34; refers to the chin position (x,y) gotten from the oval, where the x value is the same as the value of the oval --  center (x) and the y value is computed by oval --  center(y)-fb. For Tables 5 and 6, the vertical columns are calculated as follows: ##EQU12## oval --  chin --  y=oval --  center(y)-fb leye-reye=abs(leye(x)-reye(x)) 
     eye-nose=abs(eye --  avg --  y-nose(y)) 
     eye-mouth=abs(eye --  avg --  y-mouth(y)) 
     eye-chin=abs(eye --  avg --  y-chin(y)) 
     eye-ochin=abs(eye --  avg --  y-oval --  chin --  y) 
     In the case of baby01, the vertical columns from table 5 is as follows: 
     eye --  avg --  y=(106+110)/2=108 
     oval --  chin --  y=105-85=20 
     leye-reye=abs(113-165)=52 
     eye-nose=abs(108-73)=35 
     eye-mouth=abs(108-52)=56 
     eye-chin=abs(108-19)=89 
     eye-ochin=abs(108-20)=88 
     
                                           TABLE 5__________________________________________________________________________Intermediate calculations for the ratio calculations for baby class.subject    eye.sub.-- avg.sub.-- y     oval.sub.-- chin.sub.-- y            leye-reye                 eye-nose                      eye-mth                           eye-chin                                eye-ochin__________________________________________________________________________baby01    108   20     52   35   56   89   88baby02    137   41     60   39   61   97   96baby03    152   88     34   24   38   59   64baby04    137   65     42   28   45   73   72baby05    131   54     44   34   47   76   77baby08    120   22     54   40   62   99   98baby10    115   --     56   36   57   --   --baby12    102   11     50   32   53   --   91baby13    139   65     46   29   48   --   74baby14    156   84     42   29   46   70   72baby15    113   --     50   33   53   --   --baby16    134   --     44   29   45   --   --baby17    117   27     54   35   59   --   90baby18    137   40     52   38   62   100  97baby19    141   --     54   26   53   --   --baby20    120   51     44   27   46   66   69baby21    138   --     52   30   53   --   --baby22    148   72     40   28   43   --   76baby24    130   44     52   30   46   86   86baby25    121   --     54   30   55   --   --b02 128   --     48   31   55   --   --b06 144   --     46   33   51   89   --b07 117   31     48   33   53   --   86b09 136   --     54   31   51   --   --b18 158   --     40   23   40   --   --__________________________________________________________________________ 
    
     
                                           TABLE 6__________________________________________________________________________Intermediate calculations for the ratio calculations for adult and seniorclasses.subject    eye.sub.-- avg.sub.-- y     oval.sub.-- chin.sub.-- y            leye-reye                 eye-nose                      eye-mth                           eye-chin                                eye-ochin__________________________________________________________________________snr01    117   14     62   52   68   --   103snr02    144   54     52   30   --   --   90snr03    --    --     --   --   --   --   --snr05    149   --     50   35   53   --   --snr06    130   62     42   25   43   --   68snr07    --    81     --   --   --   --   --snr10    --    --     --   --   --   --   --snr11    153   76     42   --   42   --   77snr15    159   65     42   --   59   --   94snr18    139   25     62   54   76   --   114s01 125   26     56   38   60   94   99s10 129   38     54   40   62   91   91s11 131   --     56   39   59   --   --s12 157   60     58   38   62   96   97adult01    148   23     68   48   78   128  125adult04    128   38     46   36   58   91   90a01 146   --     40   34   48   77   --a02 150   74     44   34   47   77   76a04 154   81     40   33   43   74   73a06 152   79     40   36   49   76   73a12 134   --     36   30   42   --   --a19 169   94     44   27   45   75   75__________________________________________________________________________ 
    
     Tables 7 and 8 show the calculated ratios. Ratio 6 is not included here but is discussed later. Ratios 3 and 5 use the chin and thus have corresponding ratios 3b and 5b for when the chin is obtained from the initial oval. In these tables, &#34;ochin&#34; refers to oval-chin. For Tables 7 and 8, the Ratios are calculated as described in the FIG. 15 equations. 
     In the case of baby 01, the vertical columns from Table 7 are calculated as follows: 
     Ratio 1=52/35=1.4857 
     Ratio 2=52 /56=0.9286 
     Ratio 3a=52/89=0.5843 
     Ratio 3b=52/88=0.5909 
     Ratio 4=35/56=0.6250 
     Ratio5a=56/89=0.6292 
     Ratio 5b=56/88=0.6394 
     
                                           TABLE 7__________________________________________________________________________Results of the ratio computation with real images for baby class.  Ratio1       Ratio2            Ratio3a                 Ratio3b                      Ratio4                           Ratio5a                                Ratio5bsubject  nose-T       mth-T            chin-T                 ochin-T                      e-n-m                           e-m-c                                e-m-ochin__________________________________________________________________________baby01 1.4857       0.9286            0.5843                 0.5909                      0.6250                           0.6292                                0.6364baby02 1.5385       0.9836            0.6186                 0.6250                      0.6393                           0.6289                                0.6354baby03 1.4167       0.8947            0.5763                 0.5313                      0.6316                           0.6441                                0.5938baby04 1.5000       0.9333            0.5753                 0.5833                      0.6222                           0.6164                                0.6250baby05 1.2941       0.9362            0.5789                 0.5714                      0.7234                           0.6184                                0.6104baby08 1.3500       0.8710            0.5455                 0.5510                      0.6452                           0.6263                                0.6327baby10 1.5556       0.9825            --   --   0.6316                           --   --baby12 1.5625       0.9434            --   0.5495                      0.6038                           --   0.5824baby13 1.5862       0.9583            --   0.6216                      0.6042                           --   0.6486baby14 1.4483       0.9130            0.6000                 0.5833                      0.6304                           0.6571                                0.6389baby15 1.5152       0.9434            --   --   0.6226                           --   --baby16 1.5172       0.9778            --   --   0.6444                           --   --baby17 1.5429       0.9153            --   0.6000                      0.5932                           --   0.6556baby18 1.3684       0.8387            0.5200                 0.5361                      0.6129                           0.6200                                0.6392baby19 2.0769       1.0189            --   --   0.4906                           --   --baby20 1.6296       0.9565            0.6667                 0.6377                      0.5870                           0.6970                                0.6667baby21 1.7333       0.9811            --   --   0.5660                           --   --baby22 1.4286       0.9302            --   0.5263                      0.6512                           --   0.5658baby24 1.7333       1.1304            0.6047                 0.6047                      0.6522                           0.5349                                0.5349baby25 1.8000       0.9818            --   --   0.5455                           --   --b02    1.5484       0.8727            --   --   0.5636                           --   --b06    1.3939       0.9020            0.5169                 --   0.6471                           0.5730                                --b07    1.4545       0.9057            --   0.5581                      0.6226                           --   0.6163b09    1.7419       1.0588            --   --   0.6078                           --   --b18    1.7391       1.0000            --   --   0.5750                           --   --Sum    38.9609       23.7579            6.3870                 8.6702                      15.3384                           6.8453                                9.2819Num Elements  25   25   11   15   25   11   15Average   1.55844        0.95032             0.58064                  0.57801                       0.61354                            0.62230                                 0.61879Std Deviation   0.16851        0.06086             0.04138                  0.03434                       0.04352                            0.03988                                 0.03469Variance   0.02840        0.00370             0.00171                  0.00118                       0.00189                            0.00159                                 0.00120__________________________________________________________________________ 
    
     
                                           TABLE 8__________________________________________________________________________Results of the ratio computation with real images for adult and seniorclasses.  Ratio1       Ratio2            Ratio3a                 Ratio3b                      Ratio4                           Ratio5a                                Ratio5bsubject  nose-T       mth-T            chin-T                 ochin-T                      e-n-m                           e-m-c                                e-m-ochin__________________________________________________________________________snr01  1.1923       0.9118            --   0.6019                      0.7647                           --   0.6602snr02  1.7333       --   --   0.5778                      --   --   --snr03  --   --   --   --   --   --   --snr05  1.4286       0.9434            --   --   0.6604                           --   --snr06  1.6800       0.9767            --   0.6176                      0.5814                           --   0.6324snr07  --   --   --   --   --   --   --snr10  --   --   --   --   --   --   --snr11  --   1.0000            --   0.5455                      --   --   0.5455snr15  --   0.7119            --   0.4468                      --   --   0.6277snr18  1.1481       0.8158            --   0.5439                      0.7105                           --   0.6667s01    1.4737       0.9333            0.5957                 0.5657                      0.6333                           0.6383                                0.6061s10    1.3500       0.8710            0.5934                 0.5934                      0.6452                           0.6813                                0.6813s11    1.4359       0.9492            --   --   0.6610                           --   --s12    1.5263       0.9355            0.6042                 0.5979                      0.6129                           0.6458                                0.6392adult01  1.4167       0.8718            0.5313                 0.5440                      0.6154                           0.6094                                0.6240adult04  1.2778       0.7931            0.5055                 0.5111                      0.6207                           0.6374                                0.6444a01    1.1765       0.8333            0.5195                 --   0.7083                           0.6234                                --a02    1.2941       0.9362            0.5714                 0.5789                      0.7234                           0.6104                                0.6184a04    1.2121       0.9302            0.5405                 0.5479                      0.7674                           0.5811                                0.5890a06    1.1111       0.8163            0.5263                 0.5479                      0.7347                           0.6447                                0.6712a12    1.2000       0.8571            --   --   0.7143                           --   --a19    1.6296       0.9778            0.5867                 0.5867                      0.6000                           0.6000                                0.6000Sum    23.2862       16.0644            5.5745                 8.4071                      10.7537                           6.2718                                8.8060Num Elements  17   18   10   15   16   10   14Average   1.36977        0.89247             0.55745                  0.56047                       0.67210                            0.62718                                 0.62900Std Deviation   0.15074        0.05675             0.03475                  0.02681                       0.05445                            0.02700                                 0.02971Variance   0.02272        0.00322             0.00121                  0.00072                       0.00296                            0.00073                                 0.00088__________________________________________________________________________ 
    
     Each ratio can now be evaluated individually for the normalicy check and if desired for use in age classification. In Tables 7 and 8, Ratio 6 was not tabulated. For the other five ratios, the ratios were recomputed after dropping the data which was evaluated as unfavorable due to facial expression or rotation of the head. The subjects that were dropped are: baby08, baby24, baby25, b18, snr05, snr11, s11, a04, and a12. 
     For the five ratios, the individual column data from Tables 7 and 8 are used to obtain classification thresholds. These thresholds are calculated using to the following algorithm of Ohzu N. (1980), &#34;An Automatic Threshold Selection Method Based on Discriminant and Least Squares Criteria&#34;, The Transactions of The Institute of Electronics, Information and Communication Engineers, vol. J63-D no. 4., for automatic threshold detection in bi-modal distribution ##EQU13## The use of these thresholds for each ratio is now to be discussed. RATIO 1; nose-T 
     Ratio 1 is (distance between two eyes:nose to midway point of eyes). Features found from stages 210 through 270 of FIG. 3 are used for this ratio. Table 9 shows the results of the ratio computation with real images, indicating that it is possible to find ratios that span the range of babies to adults, and also to computationally distinguish between baby and non-baby images. 
     
                       TABLE 9______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 1         Baby     Adult______________________________________Sum             32.3384  18.0096Num of Elements 21       13Average         1.53993  1.38535Std Deviation   0.16001  0.15751Variance        0.02560  0.02481______________________________________ 
    
     The threshold found by the method of the algorithm listed above for Ratio 1 is 1.48. The threshold correctly classifies 14 out of 21 babies (67%) and 9 out of 13 adults (69%). The location of the nose position is tricky because of the nose protrusion. Nevertheless, a good nose position is acquired consistently for the faces in our database. Although a higher classification percentage is desired, this ratio provides a reasonably reliable classification. 
     RATIO 2: mouth-T 
     Ratio 2 is (distance between two eyes:mouth to midway point of eyes). Features found from stages 1 through 6 of FIG. 3 are used for this ratio. Table 10 shows th results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 10______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 2         Baby     Adult______________________________________Sum             19.7747  11.3845Num of Elements 21       13Average         0.94165  0.87573Std Deviation   0.00232  0.05992Variance        0.00232  0.00359______________________________________ 
    
     The threshold found by the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 2 is 0.91. This threshold correctly classifies 16 out of 21 babies (76%) and 7 out of 13 adults (54%). This appears to be the ratio that can be measured reliably and also in providing reliable classification. 
     RATIO 3: chin-T 
     Ratio 3 is (distance between two eyes:chin to midway point of eyes). This ratio makes use of features found by stages 1 through 5 of FIG. 3. Table 11 shows the results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 11______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 3a        Baby     Adult______________________________________Sum             5.2369   5.0340Num of Elements 9        9Average         0.58188  0.55933Std Deviation   0.04347  0.03614Variance        0.00189  0.00131______________________________________ 
    
     The threshold found by the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 3a is 0.57. This threshold correctly classifies 7 out of 9 babies (78%) and 4 out of 9 adults (44%). Localizing the chin is difficult to perform with consistency, due to changes in shading and shadowing, multiple chins, the possibility of an open jaw, and the possibility of facial hair. The classification result based on this ratio should not be ruled out as a possible candidate. Several factors could have contributed to this result. The shape of the chin varies greatly from a person to person which allows diverse results in the measurements of this ratio. 
     Table 12. shows the results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 12______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 3b        Baby     Adult______________________________________Sum             7.5145   7.3137Num of Elements 13       13Average         0.57804  0.56259Std Deviation   0.03535  0.02781Variance        0.00125  0.00077______________________________________ 
    
     The threshold found by the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 3b is 0.53. This threshold correctly classifies 12 out of 13 babies (92%) and 2 out of 13 adults (15%). Although the chin is more difficult to find, the oval that fits the face is found more easily. The drawback to the oval is that the chin position found from the oval may not be an exact fit because the oval finds the best fit including the sides of the face. The data supports the fact that ratio 3b is not bimodal; even the averages are very similar. 
     RATIO 4: eye-nose: eye-mouth 
     Ratio 4 is (Nose to midway point of eyes: mouth to midway point of eyes). This ratio uses features from stages 1 through 7 of Fig. Table 13 shows the results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 13______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 4         Baby     Adult______________________________________Sum             12.9206  7.9505Num of Elements 21       12Average         0.61527  0.66254Std Deviation   0.04292  0.04942Variance        0.00184  0.00244______________________________________ 
    
     The threshold found by the the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 4 is 0.62. This threshold correctly classifies 8 out of 21 babies (38%) and 8 out of 12 adults (67%). 
     RATIO 5: eye-mouth: eye-chin 
     Ratio 5 is (mouth to midway point of eyes:chin to midway point of eyes). This ratio uses features from stages 1 through 6 of FIG. 3. Table 14 shows the results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 14______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 5a        Baby     Adult______________________________________Sum             5.6842   5.6907Num of Elements 9        9Average         0.63157  0.63230Std Deviation   0.03173  0.02341Variance        0.00101  0.00055______________________________________ 
    
     The threshold found by the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 5a is 0.64. This threshold correctly classifies 6 out of 9 babies (67%) and 3 out of 9 adults (33%). This ratio also has the chin location problem. This ratio can best be used when the chin is located in a more accurate manner. The data supports the fact that ratio 3b is not bimodal; even the averages are very similar. 
     Table 15 shows the results of the ratio computation with real images, indicating that it is possible to computationally distinguish between baby and non-baby images. 
     
                       TABLE 15______________________________________Results of the ratio computation with real images, indicating that it ispossible to computationally distinguish between baby and non-babyimages.Ratio 5b        Baby     Adult______________________________________Sum             8.1143   7.6715Num of Elements 13       12Average         0.62418  0.63929Std Deviation   0.02833  0.02743Variance        0.00080  0.00075______________________________________ 
    
     The threshold found by the method of the algorithm for automatic threshold detection in bi-modal distribution, for Ratio 5b is 0.63. This threshold correctly classifies 6 out of 13 babies (46%) and 7 out of 12 adults (58%). The oval chin is more consistently acquired but also suffers from the overall initial oval fitting. The data supports the fact that ratio 3b is not bimodal; even the averages are very similar. The classification from this ratio with a better oval fit will improve its performance. 
     RATIO 6: eye-chin: top --  head-chin 
     Ratio 6 is the height of the eyes within the top and bottom head-margins. For this ratio, it is not practical to obtain the true top of the head, hence, the virtual top of the head is used. This ratio makes use of features found in stages 1 through 5 of FIG. 3. This is the most reliable of the ratios, if the top of the head could be found. It has low intraclass variance, and high interclass variance. However, our method of measurement of the virtual top of the head is not consistently correct when the hair lies around the ears, whether or not the person is bald, and to variation in the actual shape of the lower part of the head. This measurement could be improved with better methods to estimate hair configurations. 
     Between all the ratios, ratio 1 is the most promising ratio. This ratio uses features which are not affected by any facial expressions or facial motions. However, it too is subject to imprecise localization. If made robust to shading, shadowing, and occlusion effects, this ratio can be improved to serve as a good classifier. 
     Ratios 1, 2, and 3 can suffer if the face is rotated in depth, and as such some measure may need to be adopted to compensate for this rotation, before the ratios are computed. Ratios 4, 5, and 6 are more consistently correct when this occurs. Enhancement can occur by combining several ratios to make the final ratio classification. Such combination could be based on statistical analysis. 
     Referring to FIG. 3, stage seven, 270, is to verify that facial features are normal as expected to what a face should have. For detection and recognition, reference ratios of digital images can be initially stored in a digital computer and subsequently compared to a newly detected digital image including a margin for error. The stored reference ratios can include but are not limited to specific age groups, gender groups, specific individuals and the like. 
     For example, the various ratio categories for three general age classes was determined in the inventors patent application 08/198,816, which has been incorporated by reference. For instance, in actual application, a digital camera can be preprogamed with a reference ratio for babies up to the age of three years old. In operation the described invention will compare a newly received digital image to compute a ratio and compare this new ratio to the reference ratio in order to locate and identify a baby from individuals of different age groups in the image. 
     The invention described herein is intended to allow for a computer to automaticly detect a single facial image from a digital image that includes extraneous facial and/or nonfacial images, to at least the same degree as having a human to find a face in the digital image. Similarily, the invention further allows for recognition of different facial expressions by a computer to at least the same degree as having a human interprett another person&#39;s facial expression. 
     Other facial features can also be examined. Skin and eye color restrictions can also be loosened. Then, the confirmation of facial features in the presence of eye patches and dark glasses, and other occlusions and shadowing effects can be compensated for. Confirmation of facial features can also be made robust to varieties of moustaches and facial scars, and dishevelled hair. Finally, an accurate estimation of the top of the skull may be able to be computed to aid in enhancing the accuracy facial feature confirmation. 
     Further, additional age related information can also be used to enhance facial feature confirmation. Additional information incorporated for age-based facial-finding, includes but is not limited to the growth of the nose and the nose-bridge, the relative shrinking of the iris-size over time, and changes to the outline of the face. 
     While the preferred embodiment describes detection of human faces, the invention is not limited to detection and recognition of only human faces. For example, the invention would be applicable to be used to detect and center in on other pre-programmed objects, such as but not limited to animals, plants, and artificial objects such as but not limited to automobiles and buildings. Thus, other reference ratios can be calculated and used for subsequent comparison. 
     The invention is not limited to detecting only from a digitized image. For example, an analog based image can be converted by well known analog to digital converters into a digitized image. Furthermore, the image can itself be based on any known method that quantifies the amount of light coming in at points in space, such as but not limited to pixel points. 
     While the invention has been described, disclosed, illustrated and shown in various terms of certain embodiments or modifications which it has presumed in practice, the scope of the invention is not intended to be, nor should it be deemed to be, limited thereby and such other modifications or embodiments as may be suggested by the teachings herein are particularly reserved especially as they fall within the breadth and scope of the claims here appended.