A geometric-based convection approach of 3-D reconstruction
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A geometric-based convection approach of 3-D reconstruction Raphaëlle Chaine. N° 4688 Décembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4688--FR+ENG. THÈME 2. apport de recherche.
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(79) QR[iaDIH XUXSV`[iQRU8Pb TYH]^P"e2I~adp,SRQR[q QRPx' [m -U nUXh } p,QRIr]XYP,IHq a ' ]^]XP,P,&q q ' n TUXhmh Irad p6 IH8Y[mQV XBDIHCFSRcI QVPx[mIHhiamIHY[mQVPFW[iCFI¢]Xqjd]XYIHPx[ 64U8hmU8PFUXQ4YIHSRS_a~U^2 ']XP,& hiIHam`FSR[\U^[iCFIIH XUXSV`[iQRU8P<U^ Q_a[iCFIhiIHam`FSR[\U^4[iCFIIH XU8SR`[iQRU8PU^ ]^P,q ' , ']^P,q ',' ]XhmI~ai]^Q_q¢[iUe2I~[iCFITC,]^SRáªIHqW8IHa CFQ_qFqIZPeAc ', I'X S. Öõ$âbÖáö.
(80) s°
(81) ° ° 2. Ckj. Cij. Cik. Pj. Pi. Pj. Pi. Pk. Pk. ä_Èè-ÖáçÉ9ÑkÅÏ9ÑkàÉ9ÊÍÄç~÷
(82) Ê ÉÕÔ~ê2ÄÅÕÄçrÄÊAàkÑdÌÍÌÍÏ. äVÓè-Óè-ÖáçÉÕÑdÅÏ9ÑkàÉÕÊÍÄç~÷Ê ÉÕÔ*ï2ÄÅÕÄçÄÊxàdÑkÌÍÌÍÏ. ¤$QRW8`FhiI5+ [d[mhs]XY[mQVUXP"[mUD]^hsqFaD]=C,]^SRá9IrqWXI~QR[mCFU8`[[mC,IL~]^eFhiQRIHS-pFhiUXp6IZhm[kc. ¼ ÀCB ÁXF ¼ BDCFI³C,]XSáªIHqW8I ' ' GnIHI[ia[mCFIzL~]XeFhiQRIHSlpFhiUXp6IZhm[kcX P [iC,]["YH]XamIXDPFUºPFIH 4U8hmU8PFUXQ-YZIZSVS-QVaIHP,YU8`FPx[mIHhmIrq¢eAc[mC,IT, p2U8QRPx[iaDUX U8P[iCFIZQVhlD]cn[mU=[mC,IZQVhl][d[ihi]8Y[iUXhrBDC,IOp6UXQVPx[ia UXA[mCFI am`Fhm]XYZI]^hiI][d[ihi]8Y[iIHqOeAc\[iCFIZQVhYZSRUxadIrak[bp6UXQVPx[
(83) QRP~[iCFIamI[$]^P,qT]XhmIqhs]^W8WXIrq\eAcl[iCFIZQVh
(84) P,IZQVWXCAe2U8hia amUT[iC,][[mCFI*hmIrad`FSR[ UX-[mCFIOYUXPA 8IHY[iQRU8PnU^ Q_a [mCFI*IZPx[mQVhmI\C,]^SRá9IrqWXI ' , ' Aam`FpFp6UXhm[mIHq¢excn]^PIrqWXI UX
(85) [iCFI{\IHSV]X`FP,]c[ihmQ_]^P,WX`FS_][iQRU8Pb 6. ¼ B ÕÀ B ghiIZ AQVUX`,a]^P,]XSRcamQVaTC2]XaqFIH]^SR[ QR[mC SRUYZ]XS IH XUXSV`[iQRU8P¸UX[mCFI#Y`Fhi XI8·zI#]^hiI SVIá[~QR[mC<[iCFI=YH]XamIU^ ]^`[iU^ªQRPx[mIHhiamIHY[mQVUXP<][~qQ 6IHhmIHP8[Op,]^hm[ia*U^4[iCFInY`Fhi XIqF`FhmQVPFW[mCFI=YUXPA 8IHY[iQRU8P aiYsCFIHG=I8 ªDIZ 8IZhO[mCFIYZ`Fhm 8I D]Xa*[iU#QVPx[mIHhiamIHY[~QR[iamIZSR]^p,]Xhd[O[kUYU8`FpFSVIHqzC,]^SRáªIHqW8IHaH-Q[ UX`FS_qµYZUXSVSV]Xp,amI QVP±[iCFQ_a=]XhmIr]<QR[mC ]µp2UxamamQVeFSRI#YhiIH]^[mQVUXP±UX\]µCFU8SRI#]^P,q ]µp6U8aiadQVeFSVI"YsC,]XPFWXIQRP [mCFI#WXIHPx`2aUXl[mCFI IH XU8SR AQVPFW=YZSRUxadIrq"YZ`Fhi XIX·¸IadC,U QVP IHY[iQRU8 P +F[mC2][[mC,QValqFUxIraDPFU^[C,]XpFp6IZPQRP#[iCFIYZ]8adI~U^4]J^{ YZUXPA XIrY[iQRU8Pbª[\YH]^P#C,]^p,p2IHP#C,UIH XIZh QVP"[iCFIX{ YZ]XamIX. ââ çFíì.
(86) r}. i«. R. 7 . . . ' . [lIr]XYsC<ak[iIZpbF[mCFIYZ`Fhm 8ITadCFhiQVPF¥a [mUD]^hsqFa Q[saQRPx[iIZhiQRU8hHamUn[mC,]^[[mCFITp6U8amQ[iQR 8IT]^hiIH]=Q[lIHP,YSVU8amIHa qFIHYhiIH]8adIraZBDCFQ_aDIZP,am`FhiIHa [iCFI~[mIHhmGnQVP,][iQRU8P"UX[iCFIYU8Px 8IHY[mQVUXP"aiYsCFIHG=I8 ²amQRGnQVSV]XhhmIrad`,S[QR[mC<]nadQVGnQRS_]^hlqIHGnUXP,ad[mhs][iQRU8P"CFU8SVq,aDQRP<X{ 9¬ |y² ° 4«,° _¬ = * %F m¬® /$° 3%F5 s%° ° µ$° i°^® 6%¯ ¬® s ¼ ± ° = %m¯i ¬ y _= ¬ R°¬s¯³%° ªs¯«6¬Z®,¯XV° ª¬® s) s° \«F°¬Zi¯< ° ]"¬Z \$° '% #; s ¬ 3? ,¬Z ' # < s Õ¬ %m¢° s¯ ªV° = m¯n ¬ %F] ª ° ¢$° n%F=¬® s ? F mn¬s®r«8«F%° ªs6 ¯ < i Õ¬n$° ]%F E= ;® % X® ;° ° @y ¯ ,< i% bs S , + r« m°i«, I )? ,* «6¬Z®,¯8° ª¬® s _¬#®A¬Zi! ¯ ,#¬Z ,¬ %¯ \ i D'« %¬<$° %Fµ ° /> º¬s® < s9 R>° ; s ] i%° n° xs° ° =° *JI. M!N O1P QSRCT'UVN O. . . ^'QSa 7[uTT'h3^N hXj. `QpN WYQ&T^U Rqjk[ `N`^UVT'h_W. WXIHUXGnI[ihmQ_Y4]^SVWXU8hmQR[mCFG©YU8G=p,`[mQVPFW[iCFIYZUXPA XIrY[mQVUXP~hiIHam`FSR[
(87) U^,]XPTIZP,YZSRUxadQVPFWlam`Fhd]8YI YH]^PTe6IqIHhmQV XIrq Ir]XamQRSVclhiUXG [mCFI pFhmIH AQRU8`,ahmIrad`,S[saZ `,YsCT]^P]XSRW8UXhiQ[iCFG YU8P,amQVad[ia-QVPTG]^¥AQVPFWl] [mhiQV]XPFWX`,SV]^[mIHqOU8hmQVIZPx[mIrq am`Fhm]XYZI amCFhmQVPF¥QVP8[iU[iCFInX{ {\IHSV]X`FP,]c#[mhiQ_]^PFW8`FSV]^[mQVUXP<UX[mCFI=p6UXQVP8[saO`FPx[mQVS$QR[~SRUYZ]XSRSVcF[sa5y QR[mC C2]^SRáÕ]8YI[saD XIHhmQRcAQRPFW [mC,IL~]^eFhiQRIHS-pFhiUXp6IZhm[kcX BDCFI\IZ XU8SR AQVPFW~ad`Fhm]XYZIDQVa QRPFQR[mQ_]^SV Q 4ZIHq=QR[mCn[iCFIladIZ[U^C,]^SRá9]XYIZ[ia[iC,][ ]XhmISVcAQRP,WOU8P=[mCFI\YZUXPA XIZA CA`FSVS-U^ y ]^P,q[mC,]^[\]^hiI*U8hmQVIZPx[iIHq[mUD]^hsqFa Q[saQRPx[iIZhiQRU8hH BDCFInU8hmQVIZPx[mIrq³am`Fhd]8YI IZ XU8SR 8IHaH-ad`FeFjkIHY[O[mU#WXIHUXGnI[ihmQ_Y=]^P,q³[mUXp6UXSVUXW8QVYH]^SUXp6IZhs][mQVUXP2al[iC,][TQVSRS e6IqIramYZhmQVe6IHq¸QRP±qFI[i]XQRS QRP IrY[iQRU8P +F"BDCFQ_aqFIUXhiG][iQRU8P¸aiYsCFIZGnI¢YH]^P¶e2I"qIHaiYhiQRe6IHq¶]8a~UXSVSRUla §ÕadIHIT¤QVW,wx¨ facet to be shrunk. if something in front of:. if nothing in front of:. ¤$QVWX`FhiI*w `Fhm]XYI~amCFhm`,PF¥n[mCFhiUX`,WXC] C,]^SRá9]XYIZ+[ $[k U=YH]XamIHa qIZp6IZP2qQRP,W=U8PCFIZ[mCFIHh [mCFIOCFQ_qFqIZP [iI[ihi]XCFIHqhiUXP"QValQRP,amQ_qI~UXhUX`F[iamQVqIO[iCFIT XU8SR`FGnITqIHSRQVGnQ[iIHq#eAc¢[mC,Iad`Fhm]XYZI. Öõ$âbÖáö.
(88) s°
(89) ° °. ,. ... < . . SE Q E À ª À " C,]XSá9]XYZI[ <UX[iCFITIZ 8UXSV xQVPFWnad`,hd]8YI Á À ³qFUxIraPFUX[DGnIHI[[mC,IL~]^eFhiQRIHS-pFhiUXp6IZhm[kc ¼DB qIHSRIZ[mQVUXPU^ nQ[qUAIra~PFU^[YZ]X`,amI=]XPxcµSRUYZ]XS4QRPx[iIZhsadIrY[mQVUXPzU^[mCFIIH XUXSV AQRP,W#am`Fhm]XYI§]^[T[mCFInSVIZ 8IZS4U^. ]XP,qQR[ia\YUX`,pFSRIrqC2]^SRáÕ]8YI[ ¨ ¼DB hmIHpFS_]XYIHGnIZPx[U^ µeAc[mC,I C2]^SRáÕ]8YI[saDCFQ_qFqIZPeAc¢QR[ ¼ . ¼ qIZSVI[iQRU8PU^ ¼DB Á ¼bB Á ¼DB Á ªÀ . ¤$QVW,Y.¶QRSVSR`2ak[ihi]^[mIHa¢[mCFIzhmIrad`,S[#U^~[mCFI¸]^SVWXU8hmQR[mCFG QVP)[mCFI¶J^{¹YZ]8adI8UX` YH]^P)PFUX[mQ_YI³[iC,]["[mCFI YZUXPA XIrY[iQRU8PhmIrad`FSR[ YH]^P¢SVUYZ]XSRSVcne2I~YU8G=p6U8amIHq¢U^
(90) YU8`FpFSVIHqC2]^SRáÕ]8YI[sa[iC,][De6U^[mC"GnIZI[ [mC,I~L~]XeFhmQVIZS p,hmU8p2IHhd[kc8$·¸ITYZ]XSRS-[iCFIZG « Õ¬. Half-facet Half-facet and its associated half-disk. ¤QVWX`,hmI. JX{ UXPA XIrY[iQRU8P¢[mUD]^hsqFaD]J^{tamI[UX$p6UXQVPx[ia. ââ çFíì.
(91) J. i«. R. 7 . . . ' . ¤$QRW8`FhmITy U8PA XIHY[mQVUXP[mUD]^hsqFa # `,PFPAc¢p2U8QRPx[\amI[rFQ[iChmIHG=U ]XS6UX
(92) [iCFQRP<p2]^hm[ia. ~À . B Á BÀCB
(93) ¾2À . 2¼ ÀCB À ¼ . À BDC,IZhiIn]XhmI=[k U XIZhsamQRU8P,aOU^ [mCFI¢]XSRW8UXhiQ[iCFG ]XYHYU8hiqQVPFW"[mU<CFIZ[mCFIHhT[mC,QRP¶p,]Xhd[sa~U^ [mCFIhiIHam`FSR[]^hiI ¥8IZp[U8h=P,U^[H ·¸I#`2ad`,]XSRSVcºD]^Px[n[mU¶WXIZ[=hiQVq U^*[mCFIradIPFU8PªGn]XPFQRUXS_q±p,]Xhd[sa QVP)YZ]8adI#U^O XUXSV`FGnQ_Y U8ejkIHY[ia*§amIZI*¤$QVW,4y8¨eF`[ Q[DQVaPFIrYIHaiai]^hic[mU ¥XIHIZpn[mC,IZGQVP[mCFIOYZ]8adI*U^
(94) am`Fhd]8YIra4Q[iCe6UX`FP2qF]^hiQRIraZ (\amp,U^]8[iYII~[mQRC2P#]e6[H6I[kQVP< IZ[mIZCFP<Q_a~YZYZUX]8`FadpFI8SV,IHq"QR[OC,Y]XU8S`Fá9S_q<]XYZe2II [iaHp2 UxamamQVeFSRI[mU¢hiI[ihmQVIZ 8I]G]^P,QU8SVq<eAcSVUAYH]^SVSRc#eFSVUQRP,WadU8GnI SE Q E Q. À ÀB ¿ ¼ H .
(95) ¼ . À BDC,QVa]^SVWXU8hmQR[mC,GtYUX`,SVqe2IamIZIZPn]Xa]*WXIHPFIZhs]^SVQ;4r][iQRU8PU^F[iCFIamYZ`FSVp[m`FhiI]^SVWXU8hmQR[mCFG UXC# UXQ_amamUXP,P,][$ w%9 # UX[mC<]^pFp,hmUx]XYsCFIra]XhmIfx`FQR[mIqQ IZhiIZPx[lCFU IZ XIHhH4P<aiY`FSVp[i`FhmI]XSRW8UXhiQ[iCFGaZF]= IZQVWXCx[lQ_al]^SVSRUYH][mIrq [iU Ir]XYsC [mIZ[mhs]^CFIrqhiUXP CFQ_qFqIZP eAc [iCFIzIH XU8SR AQVPFW±ad`,hd]8YIXlamU±[iC,][#IH]8YsC ak[iIZp UXT[mCFI¸]^SVWXUXhiQR[mCFG SE Q E . A. Öõ$âbÖáö.
(96) s°
(97) ° °. r . hiIHam`FSR[iaQVP<[iCFII`,q,][mQVUXP<UX[mCFIT[iI[ihi]XCFIHqhiUXPCFU8SVqFQRPFW¢[mCFIS_]^hiWXIrak[l IZQVWXCx[rDBDC,IIHQRW8Cx[ialYsCFUxadIHP G `,ad[] XU8h~[mCFI¢IHSRQVGnQRP2][mQVUXPºUXD[mI[ihi]XCFIHqFhi]"[mC2][ S_]cµe6IZC,QRP,q¶S_]^hiWXIHhHe,]XqªamC,]^p6IHqz]8YI[saZ `2YsC ]XP±IZSVQVG=QVP,]^[mQVUXP p,hmUYIramaQVa=hi`FP `,P,qIZhnYU8Px[mhiUXS U^\]zpFhmQVUXhiQR[kc¸fx`FIH`FI#]XP,qº`FP2qIZh=[mC,I#YZUXP,ad[mhs]^QVPx[ UX[mUXp6UXSVUXW8QVYH]^SWXIZPA`,a\QRPA ]^hiQ_]^P,YZIXlBDCFIp,hmU8eFSRIHG QVal[mC,]^[\[mC,IUXhsqIHh\U^4[iCFI]8YIZ[ialQVP<[iCFIpFhiQVUXhiQ[kc fx`FIH`FITYZ]XP#e6ITGnQVamSVIH]XqFQRPFW2ª[\qUAIHaPFUX[[i]X¥XI~YZ]^hiI~U^WXSVUXe,]XS-qF][s]=YZUXP2WX`Fhs][iQRU8PbPamUXGnITYZ]8adIraZ [iCFI aiY`,SRp[i`FhiIpFhiUYIHaialYH]^P³SVUYZ]^SVSVc"e6I ad[mU8pFp2Irq[mU"hmIradp6IHY[\[iUXp6UXSVUXWXQ_YZ]XSbpFhiUXp6IZhm[mQVIHa §amIZI¤$QVW,7 2x¨ C,QRSVIT]^PUX[mCFIHhDIZSVQRGnQVP,][iQRU8P#amIHfx`FIHP,YI~YU8`FSVq"C,] 8I*qhiQR 8IZP[mU]e6I[m[mIHhhmIrad`FSR[Hk 64IHS[i¥]XGnp#p6UXQVPx[mIrq U8`[D[mCFQ_apFhiUXe,SRIHG´QRw P Zv ª. ¤$QVWX`FhiiI 2 Y`FSVp[i`FhmIThiIHam`FSR[ ·¸IC,] 8I~]8qFqIrq[iUXp6UXSVUXW8QVYH]^SbYU8P,ad[mhs]^QVP8[sa]^P,q]npFhiQVUXhiQ[kcfx`FIH`FI~[mU G]X¥XIU8`Fh\]^SVWXU8hmQR[mC,G ]¢aiY`,SRp[i`FhiI]^SVWXU8hmQR[mCFGlBDCFI IHQRW8Cx[\U^]¢C2]^SRáÕ]8YI[OYZ]^P<e6I amIZIHPµ]Xa*adU8GnI GnIr]Xam`FhmI=U^[mCFI¢L~]XeFhmQVIZSpFhiUXp6IZhm[kcX=BDCFInUXhiQRW8QRP2]^S4adC2]^p6InYZUX`FS_q³P,U^[Te2IIZA[mhs]XY[iIHq-=BDCFQ_aO,WX`FhiIHa U8`[D[mCFI~[iUXp6UXSVUXW8QVYH]^S-YS_]^GnpFQVPFWnU^4]namYZ`FSRpF[m`FhiIT]^SVWXUXhiQR[mCFG. ââ çFíì.
(98) Hv. i«. R. 7 . . . ' . ¦\PFSRQV¥XI~aiY`FSVp[m`,hmI~]^SVWXU8hmQR[mCFGaH8U8`FhDGnI[mC,UAq"Q_aP,U^[De,]XamIHqU8P"] WXSVUXe,]XS2C,IZ`FhiQVad[mQ_YO]^P,q"qUAIHa PFU^[ hiIHfx`FQVhiI]¢pFhiQVUXhiQ[kcfx`FIZ`FI8OBDC,IIZ 8UXSV`[mQVUXPµU^4[mC,I[ihmQ_]^PFW8`FS_][mIrq<ad`,hd]8YIQ_aOWX`FQ_qIHq³exc<]pFCAcAamQ_YZ]^S aiYsCFIHG=I ]^P,q<Q_alP,U^[Oam`FejkIrY[*[mU¢[iUXp6UXSVUXW8QVYH]^S
(99) YZUXP,qQR[mQVUXP2a [mCFI[mU8p2U8SRU8WXQ_YZ]^SWXIHPx`2alU^[iCFIIH XUXSV AQRP,W am`Fhm]XYZIOYH]^P<YsC,]^P,WXI~adIH XIZhs]^S6[iQRGnIHale2IZUXhiI*[iCFITpFhiUYIHaia hmIr]XYsCFIra IHfx`FQVSRQVeFhiQR`FG. . *J>. m^ULQSO1TQSZdO3j T 3^'Q. N)T'h_Q. . jk\5Qp^T _^'Q. RN O_Z7UuT'UVN O. P±[mCFI#WXIHUXGnI[ihmQ_Y]^SVWXU8hmQR[mCFG¹U^\YZUXPA XIrY[iQRU8PºpFhmIradIHPx[mIHqº]Xe2U 8IX$[mC,I"IH XUXSV AQRP,W³ad`Fhm]XYZI¢Q_a amCFhi`FPF¥ [iCFhiUX`FW8C#]=C,]XSá9]XYZI[Q4QR[ia]8amamUYQ_][mIrqC2]^SRá9e,]XSRS-Q_aPFUX[IZGnp[kcXBDCFQVaDGnIr]^P,a [iC,][[iCFIC,]XSá9]XYZI[ia QVP,YZSR`,qFIHq¢QVP¢[iCFI\hiIHam`FSR[ C2] XI[iCFIZQVh ]8amamUYQ_][iIHqC,]XSáªe,]XSRS_aIHG=pF[kcXAeF`[PFUX[PFIrYIHaiai]^hiQRSVc[iCFIZQVh IZPx[mQVhmI qFQV]XG=IZ[mhs]^Sbe2]^SVSÕlBDCFQ_a\]XSVamUGnIH]XP,a[iC,][l[iCFI YZUXPA XIrY[iQRU8P#p,hmUYIramalQVa\SRUYZ]XSRSVc"qFhmQV XIHP<excYU8P,qQR[mQVUXP,a QR[mChiIZWx]^hsq[mU=[iCFITQRPx[iIZhiP,]^Sbam¥XIHSRIZ[mUXP"UXPFSVcX P[iCFQ_a amIHY[iQRU8PbX I\ad[m`,qFc CFU [iCFI\YU8PA XIHY[mQVUXP]^SVWXU8hmQR[mC,G IZ 8UXSV XIraQb IhmIHpFS_]XYID[iCFI*]Xp2IHhd[i`FhiI YZUXP,qFQ[iQRU8P"eAc]XP#U8hmQVIZPx[s][mQVUXPFÕhiIZI* XIZhsamQRU8PU^$[mC,QVaYZUXP,qQR[mQVUXP
(100) Q ¼ H À ÀJ B H ¼ ± ,: E ¬Z¶°$ s° °% °= %m¯¬ FE ¬=° «F°% Õ¬ * ¯X°r¬ °= x %F]i¬®/$ª° 8 7 sª«%F° C% i«,9®m- s° ¯ ° °nª°# ;% 8= $° '% #ds¯ x¬L=F°¬Z¢ m ¯% %$¯_¬87 s° u ,¬O«,° SE SE. . Àb À E ª[=QVaIHfx`FQV ]^SVIZPx[[mUµpFhmU 8In[mC,]^[ Ir]XYsC¶C,]^SRáªIHqW8I¢hmIrad`,S[iQRPFW³hmU8G [iCFIY`,hmhiIZPx[U8hmQVIZPx[mIrq ]XSRW8UXhiQ[iCFGC,]8aDQ[saIZPx[mQVhiI~qFQV]XG=IZ[mhs]^SbqQ_am¥¢IZGnp[kc8 `,pFp2UxadIO[iC,][ ' , ' Q_a]C2]^SRá9CFIrqWXIOU^[mCFI~IH XUXSV AQRP,W=YZ`Fhm 8I §UXhDU^[mCFI~hiIHam`FS[¨CFU8amIOYZUX`Fp,SRIrq C2]^SRá9IrqWXI ', '4qUAIraPFU^[GnIZIZ[[mCFIL~]XeFhiQRIHS-pFhmU8p2IHhd[kc³§ÕadIHI¤$QRW2$ r}8¨
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(143) amQRGnpFSVQ_YQ_]^SAYUXGnpFSVI-rUXPFI e2]^hicAYZIZPx[mhiQ_Y\am`Fe6qFQR AQ_adQVUXP¶§am`,YsC]XaqIramYZhmQVe2IrqeA) c 64IHW^[iIZh ; rw ¨QVaDhiIHfx`FQVhmIrq- á[iIZh[iCFQVaDU8p2IHhi]^[mQVUXPb ]#C,]XSá9]XYZI[YZ]XPFPFUX[C,] XIn]^PAc³SVUXPFW8IZhO[k U#Irfx`,]^S_a~PFIZQVWXCAe6UXhiQRP,W#C2]^SRáÕ]8YI[saZ]^P,q¸IH]8YsCµ 8IZhm[mIzQVa [iCFIYIHPx[mIZhUX$] [mU8p2U8SRU8WXQ_YZ]XSqFQVam¥ ,. *JLK. QpN WYQ&T^U Rj@[ j@O7Z TN`\5N [LN! U Rjk[ RN1O P1QSRCT'UVN O \_^'N*RQSaDa. N`\5QS^'j TULN O_a. ULO1P N1[uP QSZ. . Z 3^ULO . T'h_Q. {*`FhiQRP,Wn[mCFIYZUXPA XIrY[iQRU8P"pFhiUYIramaH,]np,amIZ`,qFU^ad`Fhm]XYZI~IZ XU8SR 8IHaam`,YsC#[mC,]^[*]C,]XSá9]XYZI[lQ_aUXp6IZP,IHq#[mU qFQVaiYU 8IZh<P,IZ´C,]XSá9]XYZI[sa]Xqjd]XYIHPx[[mU¸]<PFIH XIZhm[mIZ-$U8h am`,YsCº[iC,][ [kU¸YUX`,pFSRIrqºC,]XSá9]XYZI[ia YZUXSVSV]Xp,amIX ª[GnIH]XP,a~[iC,][T[iCFI¢qF][s]ak[ihm`,Y[m`FhiIn`,amIHqz[mUhiIZpFhiIHamIZPx[]#p,adIH`,qUXªam`Fhm]XYI=G`2ak[am`FpFp6UXhm[T[mCFI U8SRSVUQVPFW U8p2IHhi]^[mQVUXP,+a , QRP2adIHhd[iQRU8P"UX]=PFIH 8IZhm[mI¢QVPx[mU]nC,]XSá9]XYZI[H , YU8SRS_]^p,amIOU^J=YZUX`FpFSVIHqC,]^SRá9]XYIZ[iaT§ÕadC,]XhmQVPFW [mCFITai]^GnIOWXIZU8GnI[mhiceF`[lU8hmQVIZPx[iIHqqF$Q IZhiIZPx[mSVcF¨ *qFIZa-p664IZ]XP,IHhqhd]X[iQVa-IPF [mW CFQVUXI P,PamYIZUX[ihmSVCF[mS_I*]^QVUXp,PAPnam`FI4Q_G aU^]^,e2PnJIHhYZUXUXUXp6`FIZpFhsY]SVU8IH[iGnq~QRU8G=C2P]^U8[iSRPC,á9]Ir X[ qIHhdWXqF[iIrUxQVa-YZIrIHQVa4aa PFY]^UXU8P,[ P,qnYsYC,IH[ihmCF]^PFPFI\IrW8PAq-I `FH[mG [mCFCFe2IDIHIHhm[iI hDUXp6]XU^hmUX
(144) ISVYUXylU8WXGnqcQ G=6U^6IHU8hm[mP¢IHCFP8IHIl[$qFp2WXYadUXIHIHPFa`,,qUXWXU^h`Famhs[m`F]CF[ihdI*QRU8]8[kP, YI8aHU YZUX`Fp,SRIrq"C2]^SRáÕ]8YI[saZ UXGnITUX[iCFIHamIUXp6IZhs][iQRU8P,aDC,] 8I~]XPI IHY[*UXP#[mCFI~[iUXp6UXSVUXW8QVYH]^Sbad[mhi`,Y[i`FhmITUX [iCFITp,amIZ`,qFU^ad`Fhm]XYZIX. ââ çFíì.
(145) JX}. i«. R. 7 . pE E. , , ,. À ÀCB 2¼ ¼ B Á À qQ_am]XpFp2Ir]^hiQRP,W=UX$= XIHhd[iQVYZIHaH qQ_am]XpFp2Ir]^hiQRP,W=UX$=IHqFWXIHaH qQ_am]XpFp2Ir]^hiQRP,W=UXJ C,]XSá9]XYZI[iaH. . . ' . ÀB ¼ Á ¼. ¤$QRW8`FhiIn Hv 4 }YU8G=GnU8P" 8IZhm[mI]XP,q}nYUXGnGnUXP#IHqFWXI BDCFQ_a~UXp6IZhs][iQRU8PµYsC,]XPFWXIra\[iCFI=[mU8p2U8SRU8WXQ_YZ]^Sad[mhi`,Y[i`FhmI=U^ [mCFIp,amIZ`2qU^ad`,hd]8YIXTª[YZUXhihmIradp6UXP,q,a [iU] C2]^P,qSVIYhiIH]^[mQVUXPb. Öõ$âbÖáö.
(146) s°
(147) ° ° pE E Q , , ,. J' . À ÀCB 2¼ ¼ B Á À ÀB ¼ Á ¼ qQ_am]XpFp2Ir]^hiQRP,W=UXJ XIHhd[iQVYZIHa]XP,q"YZhmIr][iQRU8PU^4]=PFIZ© XIHhd[iI- qQ_am]XpFp2Ir]^hiQRP,W=UX$=IHqFWXIHaH qQ_am]XpFp2Ir]^hiQRP,W=UXJ C,]XSá9]XYZI[iaH. ¤$QRW8`FhiIn "+ YU8G=GnU8P" 8IZhm[mI]XP,q}nYUXGnGnUXP#IHqFWXI BDCFQ_aU8p2IHhi]^[mQVUXP"qFUxIraDPFU^[\YsC2]^PFW8I\[iCFI~[mU8p2U8SRU8WXQ_YZ]^S-ad[mhi`,Y[i`FhiIOUX[iCFITp,amIZ`,qFU^ad`Fhm]XYZIX. ââ çFíì.
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