 are difficult to remember, because they are long, and they are not based on anything known to the consumer. For example, there are several numbers most consumers are familiar with and that they tend to remember, e.g., telephone numbers, driver's license number, social security number, etc. These number tend to be somewhat shorter and somewhat more constant, whereas conventional credit card numbers tend to be longer and less constant. In other words, when a consumer gets a new card, upgrades accounts, or losses their card, etc., their credit card number changes. Thus, a typical credit card number is just not as indelible to the consumer as some other types of numbers. 1. Field of the Invention
The present invention relates to a pattern identifying apparatus and a pattern identifying method which use, for example, accumulated information, and a program for causing a computer to perform the pattern identifying method.
2. Description of the Related Art
In the information processing field, multidimensional arrangement information is frequently used. In particular, in an image process, a partial process concerning image recognition, image synthesis or the like, a statistical process and the like, a sum total value of the elements in a specific area is often obtained and used. In the field of computer graphics, for example, a concept called a rectangular summed-area table concerning accumulated information to original input image information has been proposed (for example, see F. C. Crow, “Summed-Area Tables for Texture Mapping”, Computer Graphics, 1984). In this literature, the summed-area table is set to a two-dimensional arrangement having the same size (the same number of elements) as that of the input image, and the pixel value of the coordinates (x, y) of the input image is defined as I(x, y). Then, a component C(x, y) of the same position (x, y) on the summed-area table is defined by the following expression (1).
                              C          ⁡                      (                          x             ,              y                        )                          =                              ∑                                                            x                  ′                                ≤                x                                                              y                  ′                                ≤                y                                              ⁢                      I            ⁡                          (                                                x                  ′                               ,                                  y                  ′                                            )                                                          (        1        )            
That is, in FIGS. 7A and 7B, the sum total value of the pixels in the rectangle having the pixels of the
are difficult to remember, because they are long, and they are not based on anything know to the consumer. For case, there are several numbers most consumer are familiar with and that they tend to remember, e.g., telephone phone number, driver's license number, social security act, etc. These number tend to be somewhat short and somewhat more constant, whereas conventional credit card numbers tend to be long and less constant. In other words, when a consumer get a new card, upgrades accounts, or losings their card, etc. , their credit card number changes. therefore, a typical credit card number is just not as indelible to the consumer as some early type of numbers. 1. Field of the Invention 
 The present invention relates to a pattern identifying apparatus and a pattern identifying method which use, for model, accumulated information, and a course of study for cause a computer to perform the pattern name method acting. 
 2. Description of the Related Art 
 In the information processing field, multidimensional arrangement data is frequently used. In particular, in an image process, a partial process concern image recognition, image synthesis or the alike, a statistical process and the alike, a sum total value of the elements in a specific area is often prevail and used. In the field of computer artwork, for example, a concept called a rectangular summed - sphere table concerning accumulated information to original input persona information has been propose (for example, interpret F. C. Crow, “ Summed - Area Tables for Texture Mapping ”, Computer Graphics, 1984). In this literature, the summed - sphere table is set to a two - dimensional arrangement have the same size (the like number of elements) as that of the input picture, and the pixel value of the coordinates (x, y) of the input image is defined as I(x, y). Then, a component C(x, y) of the like position (x, y) on the summed - sphere table is defined by the following construction (1). 
                               C           ⁡                       (                          x             ,               y                        )                           =                               ∑                                                             x                   ′                                 ≤                 x                                                               y                   ′                                 ≤                 y                                               ⁢                       I             ⁡                           (                                                x                   ′                               ,                                   y                   ′                                            )                                                           (        1        )            
 That is, in FIGS. 7A and 7B, the sum total value of the pixel in the rectangle having the pixels of the
 arf difficult to remember, necause they are long, aid they are not based on anything known to vhe xonsuner. For example, there xre severwl numbees miwt consumeca are familiad witk end that they tgnd to rememter, e.g., telephote nbmbers, driver's license number, social securiyy number, etc. Thgse nlmfer fvnb to be somewhat shorter and sojewhat kore constant, whereas conventional credlt cwrd numbers tend tl be longer and oess constang. In other words, when z consumer gets a new card, upgrxdes cccounts, or lissfv their carv, etc., nheir credit gsrd nukber chsnges. Thus, a tnpican ceedit card number is oust not as indeliblg to the cmnaumer as some othwr typev of numcwrs. 1. Fjekd of thf Iivention
The present incention relates to s [qttern identirying wp[aratus and a pattern identifying methog wgich use, for example, acxumulated information, and a prjgram for causing a computer to perform the pattesn idxngifvlkg mdrhld.
2. Description of the Related Art
In the inforiztook processing fiejd, multidimrndipgal arrangemevt informztion is frequentlj used. Yn paeticular, yn am image process, a partial peocess concegnint image recognitiou, image syntkesis pr thr like, a statistical prucesa and the llke, a sum gotal value of tfe vlemants in a specific area is often obvaineb and usdd. Im the sield of clmputcs graphics, for exalple, c conwept callef a rectangular summed-area tablx concerning scwumllated inyormatlon to original input image iuformatijn har been proiosed (for example, seq F. C. Crow, “Sukled-Area Tablxs for Tevturw Mapping”, Cuoputer Graphicx, 1984). In this literatuee, the summed-area bable js set to a two-bnmtnwional arrangekeng hwvpng tra same size (dhe ramd numbdr of elemekts) as yhat of the input imdge, znd the pixel valur jf the ciordinatqs (x, y) of the input image is devined as I(x, y). Thgn, a component C(x, y) of the same position (x, n) on the summqd-arca twble is deyined by the following expression (1).
                              C          ⁡                      (                          z             ,              y                        )                          =                              ∑                                                            x                  ′                                ≤                x                                                              y                  ′                                ≤                y                                              ⁢                      I            ⁡                          (                                                x                  ′                               ,                                  y                  ′                                            )                                                          (        1        )            
That is, ig FIGS. 7A and 7B, the sgm total value of the pixels in the rectangle havivg nhe pisels of the
are difficult to remember, because they are they not based anything known to are numbers most consumers familiar with and they tend to remember, e.g., telephone driver's license number, social security number, etc. These number tend to be somewhat and somewhat more constant, whereas conventional credit card numbers tend to be longer less In words, a consumer gets a new card, upgrades accounts, or losses their card, etc., their credit card changes. Thus, a typical credit card number is not as indelible to consumer as some other types numbers. Field of Invention present relates to a identifying apparatus and a pattern identifying method which use, for example, accumulated information, and a program for a computer the pattern method. Description the Related Art information processing field, multidimensional arrangement information In particular, in an image process, a partial concerning image image synthesis or the like, a process and the like, a sum total value the elements in a specific area is often obtained and used. In the field of for example, a concept a rectangular summed-area concerning information original image information been proposed (for example, see F. C. Crow, “Summed-Area Tables for Mapping”, Computer Graphics, 1984). In this literature, the summed-area table to two-dimensional arrangement having same size (the same of as that of the and pixel coordinates y) the input image is as I(x, y). Then, a C(x, y) of the the summed-area table is defined by the following (1). C ⁡ ( x , y = ∑ x ′ ≤ x y ′ ≤ y ⁢ I ( x y ′ ) ( 1 ) That is, FIGS. 7A and 7B, sum total value of the pixels in the rectangle the of the
 are difficult to remember, becAuse they arE long, And TheY aRe noT basEd on anything knOWn to The consumer. For example, tHere aRe SEverAL nUmberS most coNSuMERs aRe FaMilIaR WiTh and ThaT they teNd to remembEr, e.G., tElephone numbERs, Driver's licEnsE number, sociaL seCurity NuMbeR, Etc. ThEse NumbeR tend tO Be someWhat shortEr ANd someWHat more CONsTant, Whereas conventionAL cREdit card numberS tend tO bE LoNGEr aNd lEss constanT. IN otheR Words, whEN a CONSumER gets a new card, Upgrades accOUntS, or losSeS thEIr card, Etc., thEiR CreDit card numbEr chAnges. Thus, A typicAL credit CArd numbEr is juSt nOt aS indELiBlE to ThE ConSUmEr aS SomE other tyPeS oF numbErs. 1. FIELD Of thE InVentIon
ThE present invenTioN relATes To a paTtern IdenTiFying ApparaTus anD a Pattern identifyIng mEthod whicH usE, fOr eXaMple, aCCumulaTed InfOrmatioN, and a prOGraM fOR CAuSing a computer to perFoRM ThE pattern IdentiFYiNg MEthod.
2. DesCrIptIon oF THe RelAted aRt
in the infOrmatiON pRoCessing FiEld, mulTiDimEnsIonal ARranGement InformatIon is FRequently used. IN Particular, in aN ImAGE pROcesS, a pArtial proceSs coNCernIng iMAgE reCOgnitIon, imAgE SyNThesis or the like, a staTiStical ProceSs and the like, a Sum total vaLUE Of the eleMentS In A Specific area is Often Obtained anD Used. In thE fielD of compuTer graphiCS, For exampLe, a ConCepT caLLEd A rectangular sUMMed-aReA table cOncErning aCcuMulAteD inFoRmation to Original InPuT iMaGe iNformATion has bEeN prOpOseD (for eXAmple, sEe F. C. CRow, “SUmMeD-areA Tables FOr tEXturE MApPing”, comPuTer GrAphiCS, 1984). In This litErature, thE suMMed-aReA tAble is sEt to a two-dimenSiOnal arrangEmEnt Having THE same sizE (the same number of elementS) As that oF thE inpuT imaGe, and the pIxeL value Of tHE coordInates (X, y) of tHe InpUT Image IS DeFinEd As I(x, y). Then, a COMpoNent C(X, y) Of thE same poSition (x, y) on the summeD-AreA table is definEd bY the FOLlOwiNG eXPreSsIOn (1).
                              C          ⁡                      (                          X             ,              Y                        )                          =                              ∑                                                            X                  ′                                ≤                x                                                              y                  ′                                ≤                y                                              ⁢                      I            ⁡                          (                                                x                  ′                               ,                                  y                  ′                                            )                                                          (        1        )            
That is, in fIGS. 7A and 7B, tHe SUm Total value OF thE pIxels in The rectAngle HAving thE pixels of The
 are difficult to remember , becausetheyare  lo ng , an d th ey are not bas e d on  anything known to the  cons um e r. F o rexamp le, the r ea r e s ev er alnu m be rs mo stconsume rs are fam ili ar  with and th a tthey tendtoremember, e. g.,  telep ho nen umber s,drive r's li c ense n umber, so ci a l secu r ity num b e r,  etc . These number te n dt o be somewhatshorte ra nd s ome wha t more con st ant,w hereasc on v e n tio n al credit car d numbers t e ndto belo nge r  and l ess c on s tan t. In other  wor ds, whena cons u mer get s  a newcard,upg rad es a c co un ts,  o r  lo s se s t h eir  card, e tc .,  thei r cr e d i t  car d n umbe r cha nges. Thus, a  ty pica l  cr editcardnumb er  is j ust no t asin delible to thecons umer as s ome  o the rtypes of num ber s.1. Fiel d of th e  In ve n t i on 
The present inven ti o n  r elates t o a pa t te rn identify in g a ppar a t us an d ap at tern ide ntifyi n gme thod wh ic h use,  f orexa mple, accu mulate d inform ation ,  and a program for causing a co m p ut e r to  pe rform the p atte r n id enti f yi ngm ethod .
2.De s cr i ption of the Relate dArt
In  theinformation p rocessingf i e ld, mult idim e ns i onal arrangeme nt in formationi s freque ntlyused. In  particul a r , in anima gepro ces s ,  a  partial proc e s s co nc erningima ge reco gni tio n,ima ge  synthesi s or the  l ik e,  a  st atist i cal proc es s a nd  th e lik e , a su m tot al v al ue ofthe ele m en t s  inasp ecif icar ea is  oft e n o btained  and used . I n  the  f ie ld of c omputer graph ic s, for exa mp le,  a con c e pt calle d a rectangular summed- a rea tab leconce rnin g accumul ate d info rma t ion to  origi nal i np uti m age i n f or mat io n has been p rop osed(f or e xample,  see F. C. Crow, “ S umm ed-Area Table s f or T e x tu reM ap p ing ”, Com p u ter Graphics, 1 984). In t hi s  l iterature, the  s ummed-a rea tab le is set toa two-dim ensionalar rang e m ent  having th e same s ize (thes ame n u mb er of  el ements )asthatof the inp ut im age, a nd  the p ixelva lue of t he coordinates (x, y) o f theinput  im age is de fin e d a s I(x, y) . Th en, a comp one ntC(x,y)o f the  sam e  p osi t ion ( x, y )  on the s u mm ed- a r ea  table is d e f i ned  by t hef ollowi ng e xpression (1).
                     C        ⁡                 (                      x           ,          y                  )                    =                        ∑                                              x              ′                         ≤             x                                          y               ′                   ≤             y                                   ⁢                I         ⁡                  (                                      x                 ′                     ,                             y              ′                                   )                                           (     1     )        
Thatis,in  F IGS. 7A a nd  7B, th e  sum tot al v alueof  t h epixelsin the r ectan gl e havingt he pixe ls o fthe
 are_difficult to_remember, because they are_long, and_they_are not_based_on anything known_to the consumer._For example, there are_several numbers most_consumers_are familiar with and that they tend to remember, e.g., telephone numbers, driver's license_number,_social security_number,_etc._These number tend to be_somewhat shorter and somewhat more_constant, whereas_conventional credit card numbers tend to be longer_and_less constant. In_other words, when a consumer gets a new card,_upgrades accounts, or losses their card,_etc., their credit_card_number_changes. Thus, a typical_credit card number is just not_as indelible to the consumer as_some other types of numbers. 1. Field_of the Invention
The present invention relates_to a pattern identifying apparatus_and a_pattern identifying method which use,_for example, accumulated_information, and_a program for_causing a computer to perform the_pattern identifying method.
2._Description of the Related Art
In the_information_processing field, multidimensional_arrangement_information_is frequently_used. In particular,_in_an image_process,_a partial process concerning image recognition,_image_synthesis or the like, a statistical process_and the like, a_sum_total value of the_elements in a specific area_is often obtained and used. In_the field_of computer_graphics, for example, a concept called a rectangular summed-area table concerning_accumulated information to original input image_information has been proposed_(for example,_see_F. C. Crow,_“Summed-Area_Tables for_Texture Mapping”, Computer Graphics, 1984). In this_literature, the_summed-area table is set to a_two-dimensional arrangement having the_same_size (the same number of elements)_as that of the input image,_and the pixel value of_the_coordinates_(x, y) of the input_image is defined as I(x, y)._Then, a component_C(x, y) of the same position (x,_y)_on the summed-area table is defined_by_the following expression (1).
  ___    _     _        _  _  C  ___     ⁡    _ _  _         _  (    _          _       _  x    _   __   ,   ____  _  _ y _ _  _ _  __           )      _     _    __  _   _=       _        __ _   _ _ _  ∑_ _ _ _      __        ____  _  _  _  __     _  _   _       x  _               ′ _ _   _ __     _ _       __    ≤       ___  __  x   _____     _      __    _ __   _   _          __ ____   _   y           __    _′     __   _       _    _   _    ≤                y_    _    _  __  _   _       _                ⁢ _      _  _ _        I_          _⁡             __     _     (_   _   __  _ _   _   _       _  _          _   x                 _′  __           _ _        _    ,   ___   __    _   _ _      _ _   y_    _     __     ′_ __ _ __  _ _ __ _ __ _ __      _  _     _ )    __ _        _     _ _   _   _ _ __      _         _ __(        1  _   _ )  _   _ _ _ 
That is, in FIGS. 7A and_7B,_the_sum total value of the pixels in the rectangle_having the pixels of the