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G h$ @`H  0޽h ? ̙33  ___PPT10.5@O+b'/D' = @B DG' = @BA?%,( < +O%,( < +D' =%(D' =%(Dp' =4@BB1BB%()?D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =+4 8?HCBCBCBB*k3>'Bstyle.rotation<* D' =-g6B fade*<3<* D' =%(D0' =4@BBBB%(D' =0l9 CCBB*<3<* DB' =%(D' =%(D0' =4@BBBB%(D' =0l9 HBHBBB*<3<* D'' =4@BB8BB%()?)?D{' =.C7 BBBBBUM 0.0 -4.44444E-6 L -0.34167 -4.44444E-6 *3>*B ppt_xB ppt_y=@0BBAApBB.B<* D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D~' =%(D)' =4@BB@BB%())D}' =.E7 BBBBBWM -0.34167 9.73123E-7 L -0.34167 -0.21131 *3>*B ppt_xB ppt_y=@0BBAApBBB`ؽ<* D/' =4@BB@BB%())D' =.K7 BBBBB]M -1.66667E-6 1.78869E-6 L -0.00312 -0.20691 *3>*B ppt_xB ppt_y=@0BBAApBB̺BԽ<*D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(DF' =%(D+' =4@BB?BB%()?)?D' =.G7 BBBBBYM 2.5E-6 -2.97498E-6 L 0.22864 -2.97498E-6 *3>*B ppt_xB ppt_y=@0BBAApBB=B<*De' =4@BB BB%(D' =1:B 0.75*3>%Bstyle.opacity= B PPT<*D' =-6B image0BIE*x3=4Bopacity: 0.75 BIE<*DN' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-}6B!slide(fromLeft)*<3<*+8+0+ + + P] (  0 0 HQ `     00 NA= N? ?PiH N$D 0  0 S ~U ? 'P<]"  LDensity Based Modeling   0 6AD ? ?"6?@`NNN?N  8 $@ 0 0 s *AA T? ?C 8 T$@ 0/ ] S ~^ ? 'P<]"p  ,$ 0 ? (consistency) 0 ] S ~pb ? 'P<]"@ ` ,$ 0 @(conservation) H 0 0޽h ? ̙33B:___PPT10.D@ _+fED~' = @B D9' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 0%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* 0D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* 0D' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 0%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* 0D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* 0D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*0D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*0D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*]%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*]D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*]D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*]%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*]D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*]+p+0+] ++0+] + , <d(  < < HAe ?#" ``F   < VA@IModelq  <$@0 x < c $y    < s *A ? ?+`+8 $D 0 < S ~h ? 'P<]"  LDensity Based Modeling   < C x " < s *Ab ? ? G ^ 8 $D0H < 0޽h ? ̙33ZR___PPT102.GR++HsD' = @B DQ' = @BA?%,( < +O%,( < +DR' =%(D' =%(D' =4@BB#BB%())D0' =.7 BBBBB5M 0.0 0.0 L -0.25 0.0 E*3>*B ppt_xB ppt_y=0BB<*<D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*<D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*<D' =%(DS' =%(D' =A@BBBB0B%()))D' =1:Bvisible*o3>+B#style.visibility<* <%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* <D' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* <D{ ' =%(D%' =%(D' =4@BB#BB%()?)?D0' =.7 BBBBB5M 0.0 0.0 L -0.25 0.0 E*3>*B ppt_xB ppt_y=0BB<*<D' =A@BB#BB0B%()?)?D0' =.7 BBBBB5M 0.0 0.0 L -0.25 0.0 E*3>*B ppt_xB ppt_y=0BB<* <D' =%(Dc' =4@BB BB%()))D' =1:Bvisible*o3>+B#style.visibility<* <%(D' =-o6Bdissolve*<3<* <D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-o6Bdissolve*<3<*<+p+0+ < ++0+ < + .  R(    H P0     S ~H ? 'P<]"  LDensity Based Modeling f  s *A ? ?  H  0޽h ? ̙33___PPT10i.D@ _+D=' = @B + / R(    H      S ~ذ ? 'P<]"  LDensity Based Modeling f  s *A ? ?P3  H  0޽h ? ̙33___PPT10i.D@ _+D=' = @B +q - sk p(  pr p S  0    p S ~d ? 'P<]"  LDensity Based Modeling  p s *A h? ?  8 h$@0 p s *A j? ?  8 j$@06  p S ~ ? 'P<]"Pp,$0 F(cumulative density) 5  p S ~r ? 'P<]" ,$0 E(component density)   p s *AF ? ?p  8 $D 0H p 0޽h ? ̙33___PPT10~.ߴP +?T~D' = @B D' = @BA?%,( < +O%,( < +D;' =%(%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-g6B fade*<3<*pD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D' =-g6B fade*<3<* pD' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-g6B fade*<3<*pD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D' =-g6B fade*<3<* pDn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* p+p+0+ p ++0+ p +3  22q2(     40e0eA[     @  5% 8c8c     ?A)BCD|E||S"T O  x  c $d     f  s *A^ ? ?e    S ~8 ? 'P<]"  LDensity Based Modeling f  s *A\ ? ? p  f   s *A] ? ?`  f   s *AZ ? ? b     S ~ ƿ ? 'P<]" @ 5head:    S ~`˿ ? 'P<]") 6torso:    S ~ɿ ? 'P<]" S  6limbs: b)8 ( T 0  EBB  3 >7>8BB  3 >78BB  3 >78BB  3 >i78BB  3 >06i7BB  3 >406BB  3 >24BB  3 >/2BB  3 >+/BB  3 >%+BB  3 >]%BB   3 >A]BB ! 3 >% ABB " 3 >  % BB # 3 >  BB $ 3 >  BB % 3 >r  BB & 3 >K r BB ' 3 >$ K BB ( 3 >k $ BB ) 3 >O k BB * 3 >6 O BB + 3 > 6 BB , 3 >  BB - 3 >  BB . 3 >  BB / 3 >  BB 0 3 >  BB 1 3 >  BB 2 3 >  BB 3 3 >  BB 4 3 >w  BB 5 3 >C w BB 6 3 >  C BB 7 3 >  BB 8 3 >  BB 9 3 >o  BB : 3 >7 o BB ; 3 > 7 BB < 3 >  BB = 3 >  BB > 3 >a  BB ? 3 >* a BB @ 3 > * BB A 3 >  BB B 3 >  BB C 3 >  BB D 3 >  BB E 3 >~  BB F 3 >w ~ BB G 3 >p w BB H 3 >b p BB I 3 >S b BB J 3 >; S BB K 3 >" ; BB L 3 > " BB M 3 >  BB N 3 > J BB O 3 > J s BB P 3 > s BB Q 3 >~ BB R 3 >e ~ BB S 3 >L e BB T 3 >0 L BB U 3 > 0 BB V 3 >  %BB W 3 > % +BB X 3 > + /BB Y 3 > / 2BB Z 3 >s 2 4BB [ 3 >@ 4s 6BB \ 3 > 6@ 7BB ] 3 > 7 8BB ^ 3 > 7 8BB _ 3 >j 7 8BB ` 3 >2 7j 8BB a 3 8 9@BB b 3 g '788BB c 3 g 0 8 BB d 3 g 0 8 BB e 3 g 0 8 BB f 3 g 0 8 BB g 3 g 'a 8b BB h 3 g 06 87 BB i 3 g 0 8 BB j 3 g 0 8 BB k 3 g 0 8 BB l 3 g ' 8 BB m 3 2 7>8BB n 3 g 2 73 LBB o 3 g  7 BBB p 3 g  7 BBB q 3 g 3 74 BBB r 3 g  7 BBB s 3 g  7 LBB t 3 g 4 75 BBB u 3 g  7 BBB v 3 g  7 BBB w 3 g 576BBB x 3 g 7LBB y 3 g 7BBB z 3 g 778BBB { 3 g 7BBB | 3 g 7BBB } 3 g 7BBB ~ 3 g 7BBB  3 g 97:BBB  3 g 7BBB  3 g 7LBB  3 g ;7<BBB  3 g 7BBB  3 g 7BBB  3 g <7=BBB  3 g 7LBB  3 g 7BBB  3 g =7>BBB  3 g 7BBB  3 g 7BBB  3 g >7?L  <+B#style.visibility<* %(D' =-g6B fade*<3<* D' =%(DU' =%(D7' =4@BB#BB%())D' =.C7 BBBBBUM 3.33333E-6 -0.00023 L -0.34584 0.00626 *3>*B ppt_xB ppt_y=@0BBAApBB1BT;<* )?D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* +     | (  | |  40e0eAX     @  5% 8c8c     ?A)BCD|E||S" k<$@0  | HA(f  ??"`8 $D0 | HA,f  ??"` A 8 $D0 | HA-f  ??"`@ "M8 $D0x | c $4   H |  0e0eAWr {       5% 8c8c     ?A)BCD|E||c"$`@`L <$@0 H |  0e0eAIr {       5% 8c8c     ?A)BCD|E||c"$`@pP<$@0  | S ~6 ? 'P<]"  LDensity Based Modeling H | 0޽h ? ̙33___PPT10.|G+Dx' = @B D3' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|D' =%(D' =%(D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|D3' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-o6Bdissolve*<3<*|+k  z@ (  \  C 4AJsynImgDance00@l\  C 4AKsynImgDance03` \  C 4ALsynImgDance06` \  C 4AMsynFitDance00l0\   C 4ANsynFitDance03 \   C 4AOsynFitDance06 r  S F0     S ~H ? 'P<]"  LDensity Based Modeling H  0޽h ? ̙33___PPT10i.}@͞+D=' = @B +M  d\p (  V   C .ASfitPoint03bV  C .ATfitPoint09V  C .AUfitPoint24 0V   C .APseqPoint03@b V   C .AQseqPoint09@ V   C .ARseqPoint24@ x  c $xQ      S ~I ? 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Scope aims at the first two sub-goals touch upon the third and leave the fourth for future research Going along these lines necessitates having an efficient shape estimation and representation framework suitable for further use in tracking and movement analysis applications. This, in turn, requires an economical, yet elaborate and extensible, shape description apparatus equipped with a procedure for efficient recovery of a 3D object shape from multi-perspective data.x^u      H   0j ? ̙3380___PPT10.ZiF/0 VN(  X  C LD   N  S hm K   jIntuition: density field is a non-negative scalar function showing how much an object differs from its environment at each point of space. Example: image of a printed character is that character s density function binary-valued function with a discrete 2D domain is given explicitly by the binary image itself differentiates the object from its environment and captures the objects shape can be used in correlation based template matching too strict (due to its discrete nature): corresponds to a single image Idea deviations in object s imagery introduce a class of similar objects that no single density function captures can be treated by a parametric family of similar density functionsb) mH  0j ? ̙3380___PPT10.6`"00 ` (  `X ` C LD    ` S 4m K   "characterize the model of the object by a density function for any model configuration characterized by a parameter vector  in Rm, f (x;) gives a density value at any x in Rn (mass) conservation condition requires that the object s mass remains constant during the model fitting process (density) consistency condition ensures that the density peaks remain at a certain level these conditions determine the solution s scale and ensure its feasibility density can be normalized (re-scaled) conditions can be relaxed (<=) {  % g X{$ZH ` 0j ? ̙3380___PPT10.ִ>10  d(  dX d C LD     d S p m K   vmodel fits the object optimally when the object s occupancy map is at the model s densest region solve numerically convergence depends on density avoid finite support densities generalization of surface or medial set fitting powerful modeling framework: asymmetrical shapes, complex topology, non-rigid deformations<<H d 0j ? ̙3380___PPT10.ڴpV20 xf(  xX x C LD   m x S m K  m htarget resolution: features to model precision: how exact the model should be utilize " a composite density function by combining densities of the components " a hierarchical model going from coarse (few parts) to fine (elaborate sub-parts) model resolution DGHH x 0j ? ̙3380___PPT10. ѻq:0 G?(  ^  S LD   m9  c $m K  m one can re-scale any density function to normalize conservation and consistency scaling the argument affects density support scaling the density affects massH  0j ? ̙3380___PPT10.ִ>T;0 d(  ^  S LD   m  c $3m K  m Z4This allows for some freedom in optimizing for scale 5H  0j ? ̙3380___PPT10.ִ>xXKTQ?9~X*&t.*aZ GTF?Ɔ Q-BleЦ k&HU !({F{C81{=\kVC΀XZژu@)h}bF,B (#!Թ4_Zf[_ѾPaS0]ɴBάf #0A< WPWmJAز{;˰u-(7x}p8Q>k3Dže@JbQQ2)=F"3N'o!/}O[=;qwyH~O(q~gioN2\.~zg¬!p8v!/حt#tлB)Wc) -tgYz$<s 1? ֑`(4k|٦kFR 5[/)b-*?bCic,3&p@¸S¦ |C|k@oS#@U8 w.:Z:?eJ~[J@_h"-+X@!=?}2=V6,"S*'Z cQ|@o ̫W zhIߒ4kګ):Gz7bB1O ,Q:`hԫ dTcm{6K7^`Lqh:z×za|u7;WCO_ijտߚ-bєqj'~b?$PJjʙ,"g 9x<=yÀXKm݉ e!I|,]99 DӘAPhBp`8&Ջ5Ճ!ƨ7b0x uf>(E4ӝݷ;3v}o8'|: v%1dnt,r,H$hHANd" !m?DSCaUru)6k=Bbsg>t;=1;ulFLf2Y~  нf.O9`ľ5Rn>6|~#"{Cފ-wfǤҜj5i5Oct'q*6BƝ//ՅldՄT(v!灸_l -rVl} `<CtŲ#OΰOߖ-fb㼬5:UຘL?TF3LhIj-"{H;4/Bao-jE[<=orKN9jUeJ1>0 ZG XG;1p9*fC|D1H\>^ɒ> ʃK1"OHL'm᮲ {p+25gg2 @Aa$({8EKxJb熤HbU1SA_@a8'mDIŹ^bzm? &: z rFrIwTd/{D4>>e8--w@-_^zB~YO]/zxXw$^œ1M*ދ C/R}>_DmA0K( J:;4׸E%ecX44G~Bk;-Kϧ-  @w;=.k3|W:#_f y'3VIxXMHTQ>q:$JLrebZc38!!ZADnj-MPF*][AAA49ݫiƞ΃soMwc@<NSe%DL,z!hAG!, rVAڐ[wc W= {8싅#f[H4:'Y[{CtGR76Dn1{⧉8;PTI^z4/η0rUz1:ս|V?)7uӟvAWK^VST)gpOz0i5(ս׷kX]N?4|wJa_v3C&{= xYOA3[("D F F!`bQJA7ē'/5&~4x1ĨFOx017.m)Rj_3|5˻ޙC r(1,\6<eV_C4]rR $EԐ9n;czUxԩ#0G2g$[f5 aq"Su]l?u-8O\bӶ>n+ȍ訾^O'eo)rȿKRYggeSYR0 ~|cϡj]Pz+wAUrժu` ~@DZ ,Us"mߗZt)9?A!_{oC[jyS6jA14u<EA G?Al-_~!#;cԜAkeGvQH@/P P fNMzRbIq;T|qbѤq ɗ%N:۠w[o'{H !~E,Z|"޵jxc,_#a .  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Borovikov and L. Davis, g       .-@Times New Roman-. 02 University of Maryland, USAg        .-@Times New Roman-. 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