Abstract:
The invention includes a four step process for automatically finding facial images of a human face in an electronically digitized image (for example, taken by a video-camera), and classifying the age of the person (associated with the face) into an age category. For example three age categories: a baby(up to approximately age 3), a junior person(above age 3 to approximately age forty), and a senior adult (over forty years old). Categories can be further subdivided whereas every three years could be a further age category. Step 1 of the process is to find 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. Step 2 is to compute the facial feature ratios of the facial features ratios of the facial features found in Step 1. Step 3 is to compute a wrinkle analysis of the image. Step 4 is to combine the previous two steps to categorize age of the facial image. The invention can locate and detect facial images for age classification from digital camera images and computerized generated images. The invention can be practiced in areas such as population statistic gathering for patrons at entertainment/amusement parks, television viewer ratings. Furthermore, the invention has utility in automated security/surveillance systems, demographic studies, safety monitoring systems, computer human-interface operations and automated photography. The latter to allow for point and shoot focus on specific individuals as a function of their age classification.

Description:
This invention relates to the detecting of human faces from visual images, and in particular to a process for automatically finding and detecting a human face and age classifying the facial image from digital images. This application is a continuation of application number 08/448,721, filed May 25, 1995, now abandoned, which is a Continuation-In-Part to application Ser. No. 08/261,947 filed on Jun. 17, 1994 entitled: Face Detection From Digital Images Using Templates Pending, which in turn is a Continuation-In-Part to application Ser. No. 08/198,816 filed on Feb. 18, 1994 entitled Automatic Feature Detection and Age Categorization of Human Faces in Digital Images, now abandoned. 
    
    
     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. A further problem exists in that the ability of age categorization based on facial analysis has not been successfully accomplished by computer vision. 
     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. Furthermore, Rothjell does not categorize the ages of faces. U.S. Pat. No. 4,975,969 to Tal describes analyzing facial parameters. However, this patent also does not analyze the unique facial features such as the facial wrinkles of the subject being examined nor does any type of age classification. 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 nor show the specific wrinkles that are unique to each individual&#39;s face nor describe any type of age classification. In the Prokoski et al. patent the thermograms are dependent upon the heat generated by interior blood vessels and are not dependent upon exterior facial features such as wrinkles. 
     Using computer vision for facial recognition, analyze age classification from facial images 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 with 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 subject&#39;s 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 of categorizing a person&#39;s age according to a facial 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 finding 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 fifth object of this invention is to categorize age based on facial features, facial feature ratios and wrinkle analysis. 
     A preferred embodiment for this invention covers four steps. The first step is to find facial features from a digital facial image. The second step is to compute facial feature ratios. The third step is to compute wrinkle analysis on the facial features and ratios. The fourth step is to categorize age from these steps. 
     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. 1A is a flow chart overview of the four step process used in the preferred embodiment for age classification. 
     Fig. 1B illustrates preferred components for performing the invention of Fig. 1A. 
     FIG. 2 illustrates the seven stages followed in step one of FIG. 1B. 
     FIG. 3 shows a face template with the parameters used for oval-fitting and eye fitting. 
     FIGS. 4a through 4f illustrates the process followed in the oval fitting stage of FIG. 2. 
     FIGS. 5a through 5f illustrates the various stages followed in a chin finding procedure of FIG. 2. 
     FIGS. 6a and b, respectively shows the right and left open-ended parabolas. 
     FIGS. 7a through 7e illustrates the changes followed in locating the left and right sides of the face used in FIG. 2. 
     FIGS. 8a through 8f shows the outcome for finding a virtual head stage of FIG. 2 from an original image. 
     FIG. 9 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. 2. 
     FIGS. 10a through 10i shows the various levels of the Iris-attracting and fitting stage. 
     FIGS. 11a through 11d shows the outcome of locating the center of the mouth, and the bottom of the nose. 
     FIGS. 12a through 12f illustrates the six ratios that are to be evaluated for age classification for Step 2 of FIG. 2. 
     FIG. 13 is a wrinkle geography map used in step 3 of Fig. 1A. 
     FIG. 14a and FIG. 14b, respectively depict the relationship of a zoomed-in 256×256 image to the original 256×256 image used in step 3 of FIG. 1A. 
     FIG. 15 shows the directional derivative orthogonal to the snakelet curve for each side of the snakelet used in Step 3 of FIG. 1A. 
     FIGS. 16a and 16b illustrate a pictorial description of the Wrinkle Pattern test of Step 3 of FIG. 1A that shows how pairs of snakelets are judged as to whether they are part of a wrinkle. 
     FIGS. 17a through 17i shows the outcomes of the wrinkle analysis process of Step 3 of Fig. 1A applied to a senior, a young adult and a baby in the area beneath an image&#39;s right eye. 
     FIGS. 18a through 18i shows the outcomes of the wrinkle analysis process of Step 3 of Fig. 1A applied to a senior, a young adult and a baby in the area around the forehead. 
     FIGS. 19a-19y shows the original images for the baby class. 
     FIGS. 20a-20y shows the final fit for the baby class of FIGS. 19a-19y . 
     FIGS. 21a-21v shows the original image for the adult and senior class. 
     FIGS. 22a-22v shows the final fit for the adult and senior class of FIGS. 21a-21v. 
    
    
     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. 1A is a flow chart overview of the four steps used for age classification according to the invention. The first step 100 is to find facial features from a digital image. The first step 100 is elaborated on in FIG. 2. The second step, in Fig. 1A, is to compute facial feature ratios at 200. The third step is compute the wrinkle analysis at 300. The fourth and final step is to combine Step 2 and Step 3 to categorize the age of the image at 400. 
     In FIG. 1B, all four steps of Fig. 1A can be executed by a computer 20. A facial image with inherent wrinkles, 2 is retrieved by a digital camera 10 such as a camcorder and the like. A computer 20 executes steps 1-4 of Fig. 1A, and displays age classificiation informtion from display 30. Components 10, 20 and 30 can be standard off-the-shelf components. Such types of components that are used to operate steps 1-4 of FIG. 1A can be the corresponding hardware components in U.S. Pats. 3,805,238 to Rothfjell; 4,975,969 to Tal; and 5,012,522 to Lambert which are each incorporated by reference. 
     STEP 1: FIND FACIAL FEATURES 
     FIG. 2 illustrates the seven stages followed in the first step 100 of FIG. 1A of finding facial features from a digital image. The localization of the facial features from a digital image is performed in seven stages from 110 to 170. 
     At each stage in FIG. 2 a particular facial feature parameter is found. The center position of the head in the image is initially guessed from an image. The initial oval-finding stage 110 finds an oval that best fits the face/head, and consequently the center position of the head is updated. The chin-finding stage 120 finds the best chin in the rectangular area specified by the oval parameters. The face sides-finding stage 130 finds the left and right sides of the face in the area specified by the chin and oval parameters. The virtual head computation 140 is then computed from the oval generated from the chin and the two face sides. The chin position, if it is found, is then used to refine the initial oval. Otherwise, the initial oval is used for the remaining stages. For the eye finding stage 150, both the left and the right iris center of the template are placed near the respective iris centers in the image specified by the oval parameter. The iris-fitting stage tries to fit more accurately the iris radius and simultaneously improves estimates of both iris center positions. The mouth-finding stage 160 finds the position of the center of the mouth. Finally the nose-finding stage 170 finds the position of the bottom of the nose. 
     FIG. 3 shows a face template with the parameters used for oval-fitting and eye fitting by use of a potential image of an edge. The potential image refers to the output of operators that pocess the image so that it can be used by subsequent stages. An edge in an image is a discontinuity in the intensity of the image or in its rate of change. In FIG. 3, the potential image for the edgeφ edge  was generated b-first applying a morphological operator of close(21) and then blurring it by using an exponential filter e - α(x.spsp.2 +y .spsp.2.sup.).spsp.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. 3 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 110 uses the edge-image potential to find the best oval that fits the image. 
     E oval .sbsb.-- total  =E edge  +E internal  ##EQU1## 
     
         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 -0.7 f.sub.b)+k.sub.3 e.sup.-β.sbsp.1fa +k.sub.3 e.sup.-β.sbsp.3.sup.r 
    
     The coefficients used are: c 2  =200, c 3  =100k 1  =100, k 2  =100, k 3  =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. 4 illustrates the process followed in the oval fitting stage. FIG. 4a shows an original image. FIG. 4b shows the image with a negative edge potential. FIGS. 4c through 4f show the various stages of fitting the oval until a final fit has been reached. 
     Chin-Finding Stage 
     The chin-finding stage 120 of FIG. 2, 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. , 
     In the subject invention, small preselected curves, which are also referred to as snakelets are dropped onto an image. This process has also been referred to as snakes. Snakes is a method of matching a model of a curve to an actual curve in a general image. Snakelets is described by Kass M., Witkin A. and Terzopoulos D (1988), &#34;Snakes:Active Contour Models&#34;, International Journal of Computer Vision, pp. 321-331, which is non essential subject matter to be incorporated by reference. 
     Our invention uses 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(curves) are also called snakelets. In a digital image where intensity values in that image can be interpretted as height, a snake is a curve, representing a preselected string of connected pixels, such that this curve/snake will tend to adjust itself so that the curve/snake falls into a local valley. Intensity values can be arbitrarily chosen. Hence, such a curve/snake is first dropped somewhere (fitting over certain pixels), then the connected curve/snake will tend to slither down the intensity valley till it stabilizes and slithers no more. The manner in which stabilization is evaluated is by adding together the intensity values beneath a curve/snake. 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, no movement is carried out. After all posibilities have been examined, the curve/snake is said to have stabilized. Thus, stabilization is when no more movement occurs amongst the connected pixels. When no more movement is occuring, the curve/snake is now aligned to and generally matches a natural curve in the image. Again, the natural curve in an image can be a wrinkle and the like. FIGS. 5C through 5E show an exemplary example of dropping the curve/snakes, matching and the stabilization of the curve/snakes over natural facial curves. 
     After all the snakelets have stabilized, they are used to obtain a Hough Transform 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. 5 illustrates the various stages followed in a chin finding procedure. FIG. 5a shows an original image. FIG. 5b shows the image with a negative of edge potential. FIG. 5c shows the image after snakelets have been dropped. FIG. 5d shows the image with snakelets at an intermediate stage. Fig. 5e shows the snakelets in a stabilized form. Fig. 5f 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 130 of FIG. 2, 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. 6a and 6b shows the right and left open-ended parabolas. FIG. 6a shows a right open-ended parabola used to fit the left side of a face. FIG. 6b shows a left open-ended parabola that is used to fit the right side of a face. 
     The parabola-fitting algorithm is as follows: 
     
         ______________________________________for all snakelets {for h = h.sub.min  to h.sub.max  {/* (x.sub.1, y.sub.1) and (x.sub.2  ,y.sub.2) are two end points of thesnakelet; */c = (x.sub.2  - h).sup.2 y.sub.1  - (x.sub.1  - h).sup.2 y.sub.2 /(x.sub.2  - h).sup.2  - (x.sub.1  - h).sup.2 ;BIN h,c!++;   /* Increment bin */}Perform Non-Maxima suppression;(keep only the local peaks)Select the 5 local maxima and rank them in descending order;Select the winning bin, which is BIN h,c!;Extract the snakelets that voted for the winning bin, for later______________________________________use; 
    
     For the right open-ended parabola of FIG. 6a, the parabola equation is: 
     
         x=k(y-c).sup.2 +h 
    
     For the left open-ended parabola of FIG. b, the parabola equation is: 
     
         x=-k(y-c).sup.2 +h 
    
     FIG. 7 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. 7a shows the original image. FIG. 7b shows the negative of the edge-image potential. FIG. 7c shows a rectangular grid of randomly oriented snakelets dropped on each side of the initial oval. FIG. 7d shows the image with the snakelets settling down. FIG. 7e 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 140 of FIG. 2 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. 7e 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. 8a through 8f shows the outcome for one of the successful cases. FIG. 8a shows an original image. FIG. 8b shows the negative of edge potential of that image. FIG. 8c shows original snakelets dropped for the chin and the sides of face. FIG. 8d shows the snakelets after they have settled down. FIG. 8e shows snakelets that support the three parabolas. FIG. 8f 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. 8f. 
     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 * cos θ+x.sub.0 
    
     
         y=f.sub.b * sin θ+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 -1   (y-y 0 )/f b  ! 
     f a  =(x-x 0 )/cos θ 
     FIG. 9 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. 2. FIG. 9 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: 
     
         ______________________________________Perform parabola fitting for chin, left and right sides of the face;/* As a result from parabola fitting, we have all the snakelets thatcontributed to the three parabola groups and a chin point (x, y) fromthe chin parabola. *//* The chin point (x, y) serves as the base of the oval */for all snakelets {for each snakelet point SP.sub.i  {/* SP.sub.i (x, y) = current point under consideration (known) *//* x.sub.0  = x from the chin point (x,y) */for y.sub.0  = y.sub.min  to y.sub.max  {   f.sub.b  = y.sub.0  - chin(y);   /*y from the chin point (x,   y)*/   θ = sin.sup.-1  (y - y.sub.0) / f.sub.b !;   f.sub.a  = (x - x.sub.0) / cos (θ);   BIN  y.sub.0  ,f.sub.a !++;   /*increment bin */}}Perform Non-Maxima suppression;Select the 5 local maxima and rank them in decending order;Select the winning bin--BIN  y.sub.0, f.sub.a !;______________________________________ 
    
     Eye-Finding Stage 
     The eye-finding stage 150 of FIG. 2 consists of an iris-attracting sub-stage and an irisfitting sub-stage. 
     The iris-attracting sub-stage places both the left and the right iris center of the template 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 ##EQU2## above oval center for y and ##EQU3## left of the oval center for x. Similarly, the right iris center is placed ##EQU4## above oval center for y and ##EQU5## 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. ##EQU6## 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--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 Iris-fitting sub-stage, 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.sbsb.--.sub.total =E.sub.intensity.sbsb.--.sub.total +E.sub.vally.sbsb.--.sub.total +E.sub.eye.sbsb.--.sub.total +E.sub.internal 
    
     
         E.sub.intensity.sbsb.--.sub.total =E.sub.intensity.sbsb.--.sub.eye +E.sub.intensity.sbsb.--.sub.iris 
    
     
         E.sub.valley.sbsb.--.sub.total =E.sub.valley.sbsb.--.sub.eye +E.sub.valley.sbsb.--.sub.iris 
    
     
         E.sub.eye.sbsb.--.sub.total =E.sub.eye.sbsb.--.sub.eye +E.sub.eye.sbsb.--.sub.iris 
    
     E intensity .sbsb.-- eye  same as in Iris-attracting stage ##EQU7## E valley .sbsb.-- eye  same as in Iris-attracting stage ##EQU8## E eye .sbsb.-- eye  same as in Iris-attracting stage ##EQU9## E internal  =k 4  e - β.sbsp.3 r  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. 10a through 10i shows the outcome of the iris-attracting and -fitting sub-stages. 
     FIG. 10a shows an original image. FIG. 10b shows an edge potential of that image. FIG. 10c shows the valley potential. FIG. 10d shows the edge potential shown just for eyes. FIGS. 10e through 10g shows the iris attracting sub-stage. FIGS. 10h through 10i shows the substage for iris-fitting. 
     Finding the Mouth 
     Stage 150 of FIG. 2 covers finding the mouth 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 ##EQU10## 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. 11 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 160 FIG. 2. Here, an area for the nose 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 φ nose . 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 size of the mask will vary with the size of the oval. 
     FIGS. 11a through 11d shows the outcome of locating the center of the mouth, and the bottom of the nose. FIG. 11a shows an original image. FIG. 11b shows a final mouth and nose-fit over the original image. FIG. 11c shows an enlarged mouth potential from the image. FIG. 11d shows an enlarged nose potential from the image. 
     STEP 2: COMPUTE FACIAL FEATURE RATIOS 
     The results obtained from facial feature detection, Step 1 of FIG. 1, which encompass stages 110 through 170 in FIG. 2 are categorized in tables. Tables 1 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 f a  and f b  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. 19 through 22. FIGS. 19athrough 19yshow the original images for the baby class. FIGS. 20athrough 20y show the final fit for each of the images of FIGS. 19athrough 19y . FIGS. 21athrough 21v show the original images for the adult and senior class. FIGS. 22athrough 22v show the final fit for each of the images of FIGS. 21athrough 21v. These evaluations are used to decide which data to include in evaluating whether a ratio is appropriate for classification. 
     
                                           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 humaninspection.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. 12a through 12b. 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## 
     In the case of baby01, the vertical columns from table 5 is as follows: ##EQU13## 
     
                                           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. 12 equations. 
     In the case of baby 01, the vertical columns from Table 7 are calculated as follows: ##EQU14## 
     
                                           TABLE 7__________________________________________________________________________Results of the ratio computation with real images for baby class.  Ratio 1      Ratio 2          Ratio 3a               Ratio 3b                    Ratio 4                        Ratio 5A                             Ratio 5bsubject  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.  Ratio 1      Ratio 2          Ratio 3a               Ratio 3b                    Ratio 4                        Ratio 5A                             Ratio 5bsubject  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  --  --  --   --   --  --   --15snr11  --  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                             0.10088__________________________________________________________________________ 
    
     Each ratio is now to be evaluated individually for its 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 
     
         ______________________________________Assume the histogram levels 1,2, . . . , L. There exists an thresholdvalue k which will optimally segement two groups of histogram. Now, weassume the resulting statistics of these two groups as follows:                Group 1   Group 2Accumulated histogram values:                n.sub.-- 1(k)                          n.sub.-- 2(k)(total no. of pixel in each group)Mean of the intensities/group:                m.sub.-- 1(k)                          m.sub.-- 2(k)Variance of each group:                V.sub.-- 1(k)                          V.sub.-- 2(k)The mean of the whole image:                m.sub.-- tThen the total inner variance: V.sub.-- inner = n.sub.-- 1 * V.sub.-- 1 +n.sub.-- 2 * V.sub.-- 2the total intra variance: V.sub.-- intra = n.sub.--  1* (m.sub.-- 1 -m.sub.-- t).sup.2 +n.sub.-- 2 * (m.sub.-- 2 - m.sub.-- t).sup.2Obtain the &#34;max(V.sub.-- intra/V.sub.-- inner)&#34;, the best k values willbe solved.______________________________________ 
    
     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 110 through 170 of FIG. 2 are used for this ratio. Table 9 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 9______________________________________Results of the ratio computation with real images, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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. 2 are used for this ratio. Table 10 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 10______________________________________Results of the ratio computation with real images, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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. 2. 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, indicatingthat it is possible computationally distinguish betweenbaby and non-baby images.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 12shows 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 real images, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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 bi-modal; 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. 2. 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, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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. 2. 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, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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 bi-modal; 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, indicatingthat it is possible to computationally distinguish betweenbaby and non-baby images.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 bi-modal; 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. 2. 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. 
     STEP 3: COMPUTE WRINKLE ANALYSIS 
     Finding Wrinkles 
     Once the primary features of Steps 1 and 2 of FIG. 1 have been found for the face, the wrinkle geography map of FIG. 13 is used to determine where snakelets should be dropped to search for wrinkles. FIG. 13 shows a wrinkle geography map with the regions that are to be searched for facial wrinkles, after the eyes, nose, mouth, chin and sides of the face have been located. 
     Since the resolution of a 256×256 image does not capture any wrinkle information, it is necessary to zoom in to the areas depicted by the wrinkle geography map of FIG. 13 to capture further detail. For now, to prove our concept, the zooming-in process is accomplished manually. 
     FIG. 14a and FIG. 14b, respectively depicts the relationship of a zoomed-in 256×256 image of size 256×256 to the original 256×256 image. With an actively controlled zoom lens, the zooming-in task could be made automatic. Another possibility is to take higher resolution images at the outset and search for wrinkles in the areas depicted by the wrinkle geography map of FIG. 13. Recently, commercially available high resolution cameras (1280×1024) instead of 256×256, have become available from manufacturers such as Kodak. 
     Possible Strategies for Finding and Analyizing Wrinkles 
     Once an image (zoomed-in) in which the presence or absence of wrinkles is to be determined has been obtained, the choices outlined at the start of the face analysis stages can be re-applied. That is, one option is to treat the whole image as an input vector and conduct an algebraic analysis of the vector space to achieve classification into wrinkle and non-wrinkled areas. 
     The other option discussed earlier is to detect individual features (in this case, individual wrinkle-candidates) and conduct geometric analysis of them to confirm whether these features are wrinkles or not. As an embodiment of the principles of geometric feature analysis, one could also examine an individual wrinkle-candidate for its curvature and how deeply it is embedded in the skin. Another embodiment would be to perform a match between a deformable template of a wrinkle and the image. 
     The embodiment used here is one where we simply confirm that the candidates for pieces of wrinkle analysis are not all lying on just one underlying curve. As such, if all the candidates for wrinkles-pieces lie on one curve (with very few outliers), the candidates are not labelled as wrinkles. In this manner, curves arising from shading marks, or noisy specks of skin, are not mistakenly labelled as wrinkles. 
     Steps for Detection and Classification of Wrinkle-Candidates. 
     First, snakelets are dropped in random orientations along the nodes of a grid using the raw intensity image as the potential for the snakelets. The bounding region for the grid is chosen by the areas shown in the wrinkle geography map of FIG. 13 according to human visual inspection. 
     Steps for Detection of Wrinkle-Candidates 
     When these snakelets have stabilized those snakelets that have found shallow valleys are eliminated. 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 computed. 
     FIG. 15 shows the directional derivative orthogonal to the snakelet curve for each side of the snakelel These 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 pre-selected threshold, the snakelet is eliminated. In this manner, only those snakelets that lie in a deep enough intensity valley survive. The deep intensity valleys correspond to narrow and deep wrinkles. Note that the relationship between the depth of a winkle and the depth of the intensity valley is fortuitous: shading effects cause deeper wrinkles to appear darker in their brightness. 
     An algorithm useful wrinkle-candidate detection is as follows: 
     
         ______________________________________for all snakelets {Sum1 = 0; Sum2 = 0;for each snakelet point SP.sub.i  {/* SP.sub.i (x, y) = current point under consideration *//* Find orthogonal direction */θ = tan.sup.-1  (SP.sub.i-1 (y) - SP.sub.i+1 (y))/(SP.sub.i-1 (y) -SP.sub.i+1 (y))!;Ortho.sub.-- Theta = θ + π/2;   /* in radians *//* Get the value of directional derivative of the Ortho.sub.-- Thetak geometric distance away to ensure wide enough band. */V.sub.1 (x) = SP.sub.i (x) - cos( Ortho.sub.-- Theta) * k;V.sub.1 (y) = SP.sub.i (y) - sin( Ortho.sub.-- Theta) * k;V.sub.2 (x) = SP.sub.i (x) + cos( Ortho.sub.-- Theta) * k;V.sub.2 (y) = SP.sub.i (y) + sin( Ortho.sub.-- Theta) * k;/* Sum each side separately */Sum1 = Sum1 + abs intensity( SP.sub.i (x, y)) - intensity( V.sub.1 (x,y))!;Sum2 = Sum2 + abs intensity( SP.sub.i (x, y)) - intensity( V.sub.2 (x,y))!;Avg1 = Sum1 / number.sub.-- of.sub.-- snakelet.sub.-- pts;Avg2 = Sum2 / number.sub.-- of.sub.-- snakelet.sub.-- pts;if ( Avg1 &gt; Threshold ) and ( Avg2 &gt; Threshold ) then {the snakelet is a wrinkle candidate;}}______________________________________ 
    
     Classification of Wrinkle-Candidates: Wrinkle Pattern Test 
     Finally, the snakelets that survive the steepness test, are analyzed for their group pattern, to ensure that there are enough of them and that they do not all lie on only one curve. First, it is verified that there are more than 5 snakelets. Next, for each pair of snakelets (there are a square number of pairs), the following is done. The line joining the snakelets is computed, and the average orientation for each of the two snakelets with respect to this line is computed. If the two orientations are either near parallel to the line, or if they satisfy the directional constraints that indicate they could belong to different curves. 
     FIGS. 16a and 16b illustrate a pictorial description of the Wrinkle Pattern test that shows how pairs of snakelets are judged as to whether they are part of a wrinkle. In FIG. 16a, the pairs are classed as not being reliable wrinkle patterns, as they both may belong to a single curve. In FIG. 16b the pairs are taken as appropriate evidence for a wrinkle pattern.Test. 
     FIGS. 17a through 17c shows the outcomes of the wrinkle analysis process applied to a senior in the area beneath the image&#39;s right eye. FIGS. 17d through 17f shows the outcomes of the wrinkle analysis process applied to a young adult in the area beneath the image&#39;s right eye. FIGS. 17g through 17i shows the outcomes of the wrinkle analysis process applied to a baby in the area beneath the image&#39;s right eye. In FIGS. 17a, 17d and 17g, initial snakelets are dropped on the images. FIG. 17a illustrates these snakelets up close. FIGS. 17b, 17e, and 17h shows stabilized snakelets. FIGS. 17c, 17f and 17i shows the results of snakelets that survive the steepness test. Here only the senior data shown in FIG. 17c passes the Wrinkle Pattern Test. 
     FIGS. 18a through 18c shows the outcomes of the wrinkle analysis process applied to a senior in the area around the forehead. FIGS. 18d through 18f shows the outcomes of the wrinkle analysis process applied to a young adult in the area around the forehead. FIGS. 18g through 18i shows the outcomes of the wrinkle analysis process applied to a baby in the area around the forehead. FIGS. 18a, 18d and 18g shows the original image. FIGS. 18b, 18e and 18h shows stabilized snakelets. FIGS. 18c, 18f, and 18i shows the results of snakelets that 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 of the age detection. 
     A facial image from a digital image can be determined from our process to be within approximately three years of an age categorization. For example, the baby categorization can be predetermined to be date of birth up to approximately three years of age. A child age classification can be approximately three years of age through approximately age twelve. A teenager age classification can be approximately age nineteen to age forty. An adult age categorization can be approximately age forty to approximately age sixty, and a senior age categorization can be approximately age sixty and up. The preferred embodiment described is only used for illustration purposes only, the specific age categorizations can be preselected as needed. 
     The invention described herein is intended to allow for a computer to automatically 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. Similarly, the invention can further allow for recognition of different facial expressions by a computer to at least the same degree as having a human interpret another person&#39;s facial expression. 
     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.