Randomness and Geometric Features in Computer Vision
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Randomness and Geometric Features in Computer Vision Xavier PENNEC, Nicholas AYACHE. N˚ 2820 March 1996. PROGRAMME 4. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6)
(7) !"
(8) #%$
(9) &(') *+$
(10) &,-. 1/ 03246537 89::9 ;<=:"46>@?ACBD0FEHG#I G;HJ9 KMLONQP3LRTS1SVU"W X Y#N3ZN3[]\_^a`Ucbd\eSfR3PQUgUh[jiF\lkm\lN3n KoL.N3pqUh[grost\_uvRT`dL.U YRTstsN3Lm[HudUHL.Uxw.yUzL.w.yvU{n|C}Q~Q}3XRTLOw.y)T Q QgXC s%R3PQU@k MhTvF [\_kN3l[.UznnvU@wxUxk.kRTLmf[.NVyRTnuC_ULhRTnutN3SnvU@kOk"RTnvuPQU@N3SVUz[mLmf\enwxN3S1sd`t[.UzL iF\lkm\lN3nbN3L\nk][RTnwxU[.NSfRT[.w.y RTnu!_`vk.U[.NQPQUz[myUzL¡nvN3\_km!PQUxN3SVUh[]Lm\lw¡URT[m`dLOU@k¢km`w.yR3k sN3\ena[Okxb£\nUxkN3Lf¤Q¥¦lLRTSVUxkxb#N3L[ON&Uxkm[m\SfRT[.U¢R§PQUxN3SUz[mL]\_wf[mLRTnvkmN3L]SfRT[m\lN3n¨_LON3S©Rªk.Uh[ N3SfRT[.w.yUxu&6UTRT[]`dL.Uxkx«¬N@®jUhiaUzLxb[myUfsdL.N3sUzL+yRTnvuF\envP&N3[]yUxk.UPQUxN3SVUh[]Lm\lw6UTRT[]`dLOU@k+\lk DRTLgSVN3L.UuC\e¯1wz`d[H[myRTnªN3LgsN3\nc[OkxboRTnu°Rna`tSZUhL N3sRTLhR3udN@±tUxkwRTn&RTL]\_kOUQ«"²°U[mL][.N U@k][RTZd\lkmy&\n&[]yd\lk1RTLm[m\lwz_U1[myvUZ%R3km\_w1SfRT[myvUhSfRT[m\lwRT³lLRTSVUz®#N3L]´§LOU@^a`d\L.Uxu&[.NRziaN3\_u°[myUzS RTnuRTn%RTetµxU SVN3L.UgkmsUxwh\¶wRTe1[mytL.UxU"Z%R3km\_wHsdLON3ZdlUhSVkx· ¸ ®yRT[j\_kRLhRTnutN3S¹uC\_km[]Lm\Zd`t[m\lN3n§N3MURT[m`tL.Uxkxb ¸ yN@® [.N1udUz¶dnvURuF\lkm[hRTnwxU"ZUz[º®jUxUhn¡6UTRT[]`dLOU@kxb ¸ RTnu®y%RT[\lk»[myvUH¼ºSVURTnURT[m`tL.Uz½N3³Rna`dSZUzLHN3=6UTRT[]`dL.U SUR3km`tL.UzSUzna[.k¾ ²&U\nk]\_km[N3nV[myvU\eS1sN3L][RTnwxUHN3MRTn\naiaRTLm\6RTnwxUyaFsN3[]yUxkm\_kN3L£[myvU@kOUudUz¶dnd\[m\lN3nkjL.UzRT[]\eiaU [.N)R§P3L.N3`ts¨N3H[]LRTnk]N3LmSfRT[]\_N3nvkx«!²°U¡utUhiaUz_N3s!PQUznUzLRTSVUz[myNCudk+[ON&k.N3iaU[myvU@kOU¡[mydLOU@U sdLON3ZdlUhSVkRTnvu\e`km[]LRT[.Ug[myvUhS¿®\[my¤Q¥ÀlLRTSVU 6UTRT[]`dLOU@k`tnudUzLLm\lP3\lu[mLhRTnkm6N3LmSfRT[m\lN3nkx« Á#yvU"¶dLOkm[sdLON3ZdlUhSÂyR3kHR+uF\L.Uxwz[gRTsdsd\lwTRT[]\_N3n\n¡[myvUwxN3Sst`d[hRT[m\lN3n§N3Ã[myU sdLm\lN3LsdLON3ZdÄ RTZd\e\[ÅÆN3HDRTlk.USfRT[.w.yÆ\nÇwz6R3k.km\lwTRTjSNCudUzÈDZR3k.UxuN3ZtpÉUxwh[VL.Uxw@NQP3nt\e[]\_N3n RTlPQN3Lm\[mydSVkxbRTnvu ®#UVsdLOU@k.Uzna[VUh±CsUhL]\eSVUzna[RTLOU@km`te[Ok1N3[myUf[º®jNªN3[myUzL.k1N3LfRuRT[hRl`km\lN3nÆsdL.N3Zt_UzS·[myU km[RT[]\_k][m\lwTRTÃRTnRTdk]\_kjN3RTnRT[ON3S1\_wRTÊ6UTRT[]`dLOU@k ËDUh±C[mLOUhSfRTsN3\ena[OkÌRT`d[ON3SfRT[m\lwTRTefUz±F[]LR3wz[.Uxu N3n°}3W[mytL.UxU+uF\SVUhnvkm\_N3n%RTo\SR3PQUxkN3[myvUyUR3uN3jR1km\nP3lUsRT[]\_Uzna[x«ÁjyUxk.UUz±FsUzLm\SVUhna[Ok km`wxwxU@k.k]_`d§wxN3nd¶tLmSÍ[myvU\S1sN3Lm[hRTnwxUN3j[myUVLm\lPQN3L.N3`vkL.Ux^c`t\eLOUhSVUzna[.kstL.Uxk.Uhna[OU@u\n§[]yd\lk RTLm[]\_wz_Uc« ÎÏaÐÊÑ]ÒÓTÔMQ Õ U@N3SVUz[mL]\_wHURT[m`tL.UxkxbvÁ=LhRTnkm6N3LmSfRT[m\lN3nP3L.N3`tskxbYRTnutN3S1nUxk.kxb naiaRTLm\6RTna[ SVUTR3km`tL.Ucb naiaRTLm\6RTna[uF\lkm[hRTnwxUQbrM±CsUxwh[OU@uVURT[m`dLOU@kTb%¡URTn¡URT[m`tL.Uxkx« Ö_×ØÅÙqÚ@ÛØÜMÝÞÙqߺàzá. Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France) Te´le´phone : (33) 93 65 77 77 – Te´le´copie : (33) 93 65 77 65.
(11) %h O
(12) H$
(13)
(14) % + O. Ç
(15) ,-.*+# Ê #
(16) $ C ¥UHnN3SZtL.Uz`d±¢RT_PQN3L]\e[]ydSVUxkUhnfiF\lkm\lN3ns%RTLN3LOuF\nRT[.Uz`dLTb%Uz[UznsRTL][m\lwh`te\lUzLUhn L.Uxw@N3ntnRT\lk.kRTnvw@U+utU@kN3L]SVU@kxb%`t[m\e\lk.Uzna["utU@kstLm\S\[m\iaUxk P xN3S h[]Lm\l^c`vU@kHkm\S1sdlU@kw@N3S1SVU"lU@k sN3\ena[Okx«¥ `dn°RT`d[]L.U1w 3[ cb%_UxkSVNFu hlU@kP xN3S h[]Lm\l^c`vU@kHuC`§SVN3nutUL xUzRTS hnvUhna[gk.N3`diaUzna[ wxN3nkm\lu zL.UzLgudUxk stLm\S1\e[]\eiaUxksd`kgw@N3S1sdlUz±dUxkxbvs%RTL"Uz±tUhS1sdlUutU@kguFLON3\e[OU@kTbutU@kstRTnvkxb=udUxk sN3\ena[OkxbvutU@kLOUhs zL.Uxkx«x«@« `d[]\e\_khRT[m\lN3n¡udUH[.Uz_Uxk#sdL]\eS1\[m\iaU@kjsd`kk zlU@wz[m\iaU@kjU@k][sRTLHRT\_Uz`dLOk pº`vkm[m\¶ xU s%RTL#6R"L xuF`vwh[]\_N3nudUHw@N3S1st_Uz±F\[ ^a` UzelUsUh`t[RTstsN3Lm[OUhLsN3`tL#6R"L.UxwxN3ndnRT\lk.kRTnvw@U Uh[_UHPaRT\nudUHsdL @wz\_k]\_N3nRT`fnd\iaUTRT`uF`¡LOU@wRTR3PQUc« =R+PQUxkm[m\lN3nudUw@UxksdL]\eS1\[m\iaU@kkON3`d hiaUwxUzsUhnvuRTna[H`dnwxUhL][RT\nnN3SZtL.UutUsdLON3Zd hSVUxk ^c`t\dsUz`diaUzna[»wxN3nuC`d\L.U utU@kos%RTLR3udNx±dUxkx« N3`k h[]`uC\_N3nvk³uvRTnkwxUh[RTL][m\lwhlU»[]L.N3\lkosdLON3Zd hSVUxk N3nvuRTSVUhna[hRT`d±Uz[nN3`vksdL xk.Uzna[.N3nkHsN3`dLHw.y%R3wh`tnu Uhna[]L.UUz`d±f`dnUz±dUzS1sdlUHudU"s%RTLR3utN@±tU sN3[.Uzna[m\lUh#· ¸ ^cu `vRTUh`d_[mULOU@Uxk£km[j[.UzLmR"SVstUxL.kxN3bcZ%^aRT`ZdUz\ee\l[U#Uxkm[sdL]R\_N3sdL]LO\=N3uZRTRTZtst\es\eRT[ HLm\lUzu L`dudnVUz`dDRT±V`dsd±+L]s\eS1NQk]\\e[m[]\\eiaU@ukjRT^cnv`vk³Uh`tlw@n1N3nvsd^cL.`vN3ZtU@kj zN3SV`UbudUhn U L.Uxw@N3ntnRT\lk.kRTnwxU¾ ¸ w@udN3US1wzSVR3k.Uhk]na\e[¶vUhudLUzut¶dU@ndkj\LRT`dsdnvs%U"RTLmnv\lUhN3SV[m\lUzN3ncn[Ok#udUutUuC\_sdk]Lm[\RTS1n\ewx[]U\eiawxUxN3ky Uhz[£L.UzutnaU[.UcP b%hn ^ch`tLh\ÊRTse\lUzk.LmUzSVL³lUzUx[mk»[]LRTR1lPQUhN3naLm[m\[mLOytU+SVRT`dU@k£[]L.udUxUk [ºCsUHsd`ksdLONFw.yvU"iaN3\lkm\n¾ ¸ n^c`N3[mUx\lN3kmn[mÈÅwxu UgUx^ckm`vs U"zL6RTR nSVwxU"NxaSfUhRTnt[]ny UzSutU"RT[]sd\_L]^a\e`S1UH\[muv\RTianU@kkP`d@nvN3U"S iazRT[mL]Lm\ \lz^a[ ` Ux¾ kxbvN3`¡ste`vkHP hn hLhRT_UzSVUhna[6R \eUh±C\lkm[.UVsRTLm6N3\_kVudUxk+k.N3`d[]\_N3nvkR3uCÈDyNCwsN3`dLVw.y%R3wh`tnÇutU¡wxU@kstL.N3Zt zSVU@kxb»wxUzelU@k]ÈÅwh\£nU k.N3na[gUhnP zn zLRToiFRTRTZt_Uxk^c`vU"sN3`tL"wxUzLm[RT\nk[ÅCsU@kHudU sdLm\S1\e[]\eiaUxkuRTnvkHw@UzLm[hRT\envU@kHwxN3nuF\Ä [m\lN3nkx« N3`ksdL @kOUhna[.N3nvk"uvRTnkHwxUh[HRTL][m\lwhlUutU@kHk.N3`d[]\_N3nP zn zLm\l^a`UxkZR3k xU@kk]`dL6RnvN3[m\lN3n u \enaiaRTL]\RTnvw@UHutU# N3s zLRT[.Uz`dLjwxN3nkm\lu zL ËDuF\lkm[RTnvw@UcbdU@kms zLRTnvw@UcbFk z_Uxwz[m\iF\[ N3`1\naiaUhLOk.UhSVUzna[ sdLON3ZRTZd\\e[ utU#DRT`t±1sNQkm\e[]\eOÌk.N3`k R3wz[m\lN3nVu `dnVP3L.N3`tsUudU[]LRTnk]N3LmSfRT[]\_N3n¢Uh[nvN3`kSN3ntÄ [mLOUhLON3nk£^c`vUw@U£wR3uFL.U[]y xN3Lm\l^c`vUUxkm[RTsdste\lwRTZdlUQbcst`d\lk.^c` \dnvN3`ksUzLmSVUh[][mLhR"udUju z[.UzLmS1\nUzL R1k z_Uxwz[m\iF\[ gudUxkL.Uzs hLOU@ksN3`dLH6RLOU@wxN3ndn%RT\_kOkRTnwxUVËl`tnªPaRT\enªu `dnºR3wh[OUh`tL+@ @Qs%RTL LRTstsN3Lm[¢RT`d±&sN3\na[.kVk.Uz`dlkÌb³Uz[+nN3`vk+sdL xk.Uzna[.UzL.N3nkV`dnvURTsdste\lwTRT[]\_N3nÆUzn_`vkm\lN3nÆudU¡utN3ndÄ n xU@k·»6Ru h[OUhL]S1\en%RT[m\lN3n§utU6Rkm[hRTZd\e\[ km[RT[]\_k][m\l^c`vUudUxksN3\ena[.kgUz±F[]L zSRT`t±¡Uz±F[]LRT\[.kHkm`tL }3W+\eSfR3PQUxk YͤQ¥udUHR[ h[OUu `dn¢S zSVUsRT[]\_Uzna[x« ÓTzÑ. KML]\eS1\[m\iaU@k P @N3S z[mL]\_^a`Uxkxb Õ L.N3`tsU@k1utU[]LRTnk]N3LmSfRT[]\_N3n=bjKoLON3ZRTZd\\e[ @kxb ¡U@k]`dL.Ug\enaiaRTL]\RTna[OUQb¥j\lkm[hRTnwxU \naiaRTLm\6RTna[.UcbÊrkms hLhRTnwxUQb¡N@aUzndnvU . . . . . . . .
(17) . . . . . . . . . . . . . !.
(18) . "#. . . . $. %. ". &. &. ('. . (. &. . !. . ). . !. % !. *.
(19) . +. . . ). !. .
(20) . +. * . , . *.
(21) . -'. %. !.
(22) . . !. . %. !. /. . . !.
(23) . . . . . !. . !. . .
(24) . . . 2. %0. 435. !. . . 10. . %. !.
(25) ¤.
(26)
(27)
(28)
(29)
(30) !"$#% &'(
(31) *)+" , . ')H
(32) H - .0/ TÓÔ 1Ó / 3 4 ÏaT+6Ó 587ÏCÓ ÏaT 1 5ÅÏFd ÊÏF1 / ÔÆ@ÏaT1Ó65#T / 5ºÓ }C«e Õ U@N3SVUz[mLm\lwHURT[m`dLOU@kT·#RTnd\N3ludkHRTnufL.UzsdL.Uxk.Uzna[RT[m\lN3nk«"«g«g«"«g«"«g«g«« }C« } Á=LhRTnkm6N3LmSfRT[m\lN3nkx· \_UHP3LON3`dsk¢«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« }C« ¤ ;FLON3S []LRTnvkmN3L]SRT[]\_N3nªN3M[myUro`wze\ludURTnkms%R3w@UH[.N+URT[m`tL.Ug[mLRTnvkmN3L]SfRT[m\lN3n }C« W ¬N3SVNQPQUhnvU@N3`vk#URT[m`tL.Uxkx·³\ludUznc[]\e¶vwTRT[]\_N3n®\[myf[myvU"[mLhRTnkm6N3LmSfRT[m\lN3nP3L.N3`ts }C« Y#UzsdLOU@k.Uzna[RT[]\_N3nRTnu+ZR3km\lwN3sUzLRT[m\lN3nkN3Lj¤Q¥ÇLON3[RT[]\_N3nvkxbF_LRTSVUxk£RTnu+sN3\ena[Ok AMTÓMC 1 ,1_ 1ÏF < = @> 1a @?ÏCÓ Ïc 1B ¤C«e D»UzLm[]LRTnvu ks%RTLR3utN@± «g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« ¤C« } ÊUz_["RTnuL]\_P3ya[\naiaRTLm\6RTna[SUR3km`tL.UxkN3nR %\lUHP3L.N3`ts)˺¬RQRTLSVUR3km`dLOU@kÌ"«« ¤C« ¤ nciFRTLm\6RTnc[SVUR3km`dLOU"N3nfyN3SVNQPQUznUxN3`kSfRTnd\N3ludk «g«"«g«"«g«g«"«g«"«g«g«« ¤C« W KoLR3wz[m\lwTRT`kOUQ·ÃstL.N3Z%RTZd\e\[ÅN3RDRTlk.UHSfRT[.w.y «"«g«g«"«g«"«g«g«"«g«"«g«g«« ¤CF« E EsdsUznuC\e± E ·vKoLONFN36kN3L\naiaRTLm\6RTna[SUR3km`tL.Uxkg«"«g«g«"«g«"«g«g«"«g«"«g«g«« ¤CG« D EsdsUznuC\eH± D·KoL.NCN3kN3L\enaiaRTL]\RTna[SVUR3km`dLOU@kN3n¢Lm\lP3\_uV[mLRTnvkmN3L]SfRT[m\lN3nkf« Ð 5 / 1Ó / J K Ó=L 1 ,1_ÐÔ=Ï / > 1_M Wt«e ¥Uh¶tnd\[m\lN3n «g«"«g«g«"«g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« Wt« } ;FLON3S []yU"¼º\enaiaRTL]\RTna[m½gsuFÃ[.N+[myvUwzR3k.k]\_wRTsuFN3nf[myUgL.UzsdLOU@k.Uzna[RT[]\_N3n&«« Wt« ¤ KoL.N3s%R3PaRT[m\lN3n§N3ÃN3nUgLRTnutN3S¦6UTRT[]`dLOUN3L[]LRTnk]N3LmS «"«g«"«g«g«"«g«"«g«g«« Wt« W ORTnvN3nd\lwTRTMN3sUhLhRT[m\lN3nkHN3nLhRTnutN3S¦6UTRT[]`dL.UxkgRTnu[]LRTnvkmN3L]SRT[]\_N3nvk«g«g«« Wt« ro±FsUxwz[RT[m\lN3nN3RLOUTRTiaRT`Uxul`dnwz[m\lN3n «g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« Wt« O#N3nvwh`km\lN3nf«g«"«g«g«"«g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« WtF« E EsdsUznuC\e± E ·vKoLONFN36kN3LstL.N3ZRTZt\e\[ºudUznkm\[Å_`tnwz[m\lN3nk «g«g«"«g«"«g«g«« A=T6Ó AÏC@ 1ÏC 2 Ïa 1P C«e Á#yvU s%RTLR3udNx±N3o[]yUwzlNQk.U@k][»\envU «g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« C« } nciFRTLm\6RTnc[HuC\_k][RTnwxUN3nRSRTnt\e6N3_u «"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« C« ¤ nciFRTLm\6RTnc[HuC\_k][RTnwxUxkN3nR %\lUgP3L.N3`ds «g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« C« W ¥\_k][RTnwxUH\envuF`wxUxuN3n[myvU"SfRTnd\N3luZaV[myU P3L.N3`tsuF\lkm[RTnvw@U «"«g«"«g«g«« C« KoLR3wz[m\lwTRT`kOUN3nL]\_P3\lu[]LRTnk]N3LmSfRT[]\_N3nvk «"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« C« R#[m\\e[Å¡N3M\enaiaRTL]\RTna[HuC\_km[hRTnwxU@k«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« CF« E EsdsUznuC\e± E ·v¡Uz[mL]\_wg\envuF`vw@Uxu¡N3n¡[]yU"SfRTnt\e6N3_uVZcf[myvUP3L.N3`ts!«g«"«g«g«« CG« D EsdsUznuC\eH± D·¡Uh[]Lm\lw"N3n¢Lm\lP3\_u[]LRTnvkmN3L]SRT[]\_N3nvk «g«"«g«"«g«g«"«g«"«g«g««. 2. . !. . . 9. :. ". 3. 3. !. 3. !. ". 3. ". . 2. ". STSVUXW>Y[ZY\. :. ~ -6-. Q T¤ @W T T I:. 36N. }3 }C }C }Q} }Q¤ }3W }3W. 36Q. }Q~ }Q ¤3 ¤3 ¤C ¤Q} ¤Q¤ ¤Q¤.
(33) W. I,
(34) #
(35) ' # 9. ÏCQTd 1Ó / / Ô ÏC / Ó65jT / Ô=Ó 5ÅÏFd ÊÏF [hRTnuvRTL.uUh±CsUxwh[hRT[m\lN3nN3R+}Q¥ÀLRTnvudN3S e\nU«"«g«g«"«g«"«g«g«"«g«"«g«g«« ;FLOU@w.yvUh[HUz±FsUxwz[RT[m\lN3n¡N3»RLRTnutN3S¦6UTRT[]`dLOU«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« ;FLOU@w.yvUh[HUz±FsUxwz[RT[m\lN3n¡N3»RLRTnutN3S¦[]LRTnvkmN3L]SRT[]\_N3nÀ«"«g«"«g«g«"«g«"«g«g«« nciFRTLm\6RTnwxU"sdLON3sUhL][m\lU@kÇ«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« ¥\_kOwh`vk.km\lN3n-«g«"«g«g«"«g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« Esdste\lwRT[m\lN3n[.N+uRT[hRl`km\lN3n·[myUgSVUTRTnf_LRTSVUxk+«g«g«"«g«"«g«g«"«g«"«g«g«« EsdsUznuC\e ± E · [RTZt\e\e[ÅN3M[myvUUz±FsUxwh[OU@u¢RTnu¡SVURTnUz_UzSVUhna[Ok «g«"«g«g«« EsdsUznuC\eH ± D·¬#\ena[OkN3L[]yU"stL.N3s%R3PaRT[m\lN3n[]ydLON3`P3y[myvUN3[]yUzLN3sUhLhRT[m\lN3nk TAÏC 1 Ï / TcjªÔ=tT 5 Ê> 1Ó / AMTÓ Ï :C«e ¤Q¥ÀSVU@uC\_wRT\eSfR3PQUxk «g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« :C« } ro±F[]L.UzSfRTÊsN3\na[.kHRTnuf_LRTSVUxk-«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« :C« ¤ D³`t\eluF\nPVRSVNCudUz)«"«g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« :C« W Y#Uxkm`d[.k «g«"«g«"«g«g«"«g«"«g«g«"«g««g«"«g«g«"«g«"«g«g«"«g«"«g«g«"«g«"«g«g«« = Ó / Ê> 1Ó / TA. C«e C« } C« ¤ C« W C« C« CF« E CG« D. Q. . . !. . ,. ,. . 43 . . 3. . <62. ¤Q ¤Q ¤Q~ ¤Q~ ¤Q ¤Q WQ tW . J3. Wa} Wa¤ Wa¤ aW ¤. J2. S .
(36) .
(37)
(38)
(39)
(40)
(41) !"$#% &'(
(42) *)+" , . H "$=. RTna¡RTlPQN3Lm\[mytSkj\enfw@N3S1st`d[.UzL#iC\lkm\_N3nfRTnvu¡N3ZtpÉUxwh[jL.Uxw@NQP3nt\e[]\_N3n¢udURTÊ®\[myfkm\S1sdlUPQU@N3SVUzÄ [mL]\_w#6UTRT[]`dLOU@ke\´aU»sN3\na[.kxbc6N3LUh±vRTS1sdlU»[]yU [.UzLRT[]\eiaU O£_NQk.Uxkm[KMN3\ena[ Ë D# Q}Cb vy%RQ 3W 6ÌbQ[myU PQU@N3SVUz[mL]\_wy%R3kmyd\nP&Ë ² ~Q~Cb=Y¬ Q¤ 6Ìb=RTnu[myvU1RTe\lP3ndSVUzna[+Ë FE!;Ã~Qdb¬ R~ : 6ÌHRT_PQN3L]\e[]ydSVkx« nf[myvU"N3[]yUzLyRTnvubtSVNCudUz_kjN3=[]yUHL.URTÊ®jN3LmluN3l[.Uzn¡_UR3u[ON[myvU"wxN3nkm\ludUzLRT[]\_N3nN3=SVN3L.U w@N3S1st_Uz±URT[m`tL.Uxkx·g\nUxk+Ë Õ Lm\6 Q} ÌhbstRTnvU@kTbMN3L]\_Uzna[.Uxu§sN3\nc[Okxb=_LRTSVUxk1Ë 6K EH 3WtboKÁ QTZ 6Ìb Uh[OwQ«x«x« Á#yvUyRTnvuF\envP¡N3[myUxk.U6UTRT[]`dLOU@kgLRT\lk.U@kHk.N3SVUgsdL.N3Zt_UzSVkgRTnuªwTRTnlUTR3u[ONs%RTLR3udNx±dUxk km`w.yªR3!k D£UhL][mLhRTnu kHsRTLR3utN@±wxN3nwxUhL]nd\nPVPQU@N3SVUz[mL]\_wHsdLON3ZRTZd\\e[]\_Uxkx«j²°U"y%RhiaUstL.UziF\lN3`k]e kmyNx®nÇË KÃÁ QQR Ì[my%RT[+R3uduC\e[]\eiaU+nvN3\_k.U\lkHnN3[k]`d\[.Uxu6N3LutU@k.wzLm\Zd\nPf[myU+`tnwxUhL][RT\nc[Å)N3 _LhRTSUxkRTnvuk]yN3`dluZULOUhstR3wxU@u1Za¡R w@N3S1sNQkm\[m\iaU#SVNFutUhN3nN3\lk.Uc« [myvUhLUh±vRTS1sdlU@kjRTL.U sdLOU@k.Uzna[.Uxu§\n§[]yd\lkRTL][m\lwhlU1RTnu°udUzSN3nvkm[mLhRT[.U+[myvU+nUxU@uN3LRsRTL][m\lwh`tRTLRT[m[OUhna[m\lN3n®yvUhn udURTe\nP+®\[my¢PQU@N3SVUz[mL]\_wHURT[m`tL.Uxkx« ²°U"utUh[OUhL]S\nUxu[]yRT[[]yUH´aUhVsN3\nc[j[.NVRTnRTtµ@UHPQUxN3SUz[mL]\_w6UTRT[]`dL.Ug\_k£[myvUh\LZUzyRhiC\lN3L `dnvudUzL+R[]LRTnk]N3LmSfRT[]\_N3nP3LON3`ds=«1²°U+wRTn&k.UxUN3L \envkm[RTnvw@U+\n§¶vP3`dLOU¡+[myRT[ [myvUN3ZtpÉUxwz[ w@N3S1s%RTLm\lk.N3nN3ndVSRT´aUxk#kOUhnvk.U LOUh6RT[m\iaUzeV[.N1R[]LRTnk]N3LmSfRT[]\_N3nªP3L.N3`ts« . . ". . . . . . . . .
(43) . !. . . U. A. B. U. C. U. !"#%$& ')( )!*%+,- .&/+0*1$24356+" 7$"/8*9"#*"#::
(44) *9 ;*%" ):<$="#!$&>:%"# ? :%"#*@A*$&!:%"#*&8=*1" $B(%C"<* $1D1E
(45) *9"#*A :8GFH" I>JK"#L+0 M* ? :%"#*@
(46) *%I *1" $B(NO"#* $1D1E)L*9"#*L*9 8'"<P"<::IQSRT M* ? :%"#*@L*>*1" $&:%"#* $1D1U. U. U. U. U. U. U. U. U. U. U. U. #Á yvURTLm[]\_wzlU \lkN3L.PaRTnt\_µxU@uR3kN3_Nx®kx« Uxwz[m\lN3n}NCwh`vk.U@kN3n[myUgnRT[]`dL.UN3PQU@N3SVUz[mL]\_w URT[m`tL.Uxkxbjn%RTSUzsN3\ena[OkN3n RSfRTnd\N3lubRTnvu ®jU¡\enaiaUxkm[m\lPaRT[.U¡[]LRTnvkmN3L]SRT[]\_N3n P3L.N3`tsk ËlL]\_P3\lub#RT¯+nvUQb«@«x«Ì []yRT[1N3sUzLRT[OUN3n[myt\_kSfRTnt\e6N3_uÊ« n Uxwh[]\_N3n!¤CbîjU1\enaiaUxkm[m\lPaRT[.UV[myU km[RTnvuRTLOuPQU@N3SVUz[mL]\_wostL.N3ZRTZt\e\[m\lU@kRTnvu"\nHsRTLm[]\_wz`d6RTLonvU@Uxu [ONudUz¶dnvU#RTng\nciFRTLm\6RTnc[MSVUTR3km`tL.U N3nLRTnvudN3S URT[m`dLOU@kË`dnutUhLH[]yUwxN3nkm\ludUzL.Uxu[]LRTnk]N3LmSfRT[]\_N3nªP3L.N3`tsÌ\nN3L.utUhL[ONN3Zt[RT\n R SVURTnd\nP3_`tL.Uxkm`d[x«³Ájyd\lkÃlUR3udk[.N[]yUHw@N3S1st`d[RT[]\_N3nfN3[myUstLm\lN3L»stL.N3ZRTZt\e\[ºfN3ÃR DRTlk.U SfRT[.w.yª\enªL.Uxw@NQP3nt\e[]\_N3n RT_PQN3L]\e[]ydSVkx« n&kOU@wz[m\lN3n&WtbÊ®jU1Uh±C[.Uznu[myvUwzR3kOk N3jsdLON3ZRTZd\\e[]\_Uxk sdLON3ZdlUhSVk®\[my[]yU#\na[mL.NCuF`vwh[]\_N3nfN3sdLON3ZRTZt\e\e[Å1utUhnvkm\e[Ål`dnvwh[]\_N3nvkËsuFkhÌÃN3nVRSfRTnd\N3lu« Uxwh[]\_N3n \lk"utUhiaN3[OU@uª[.NSVUz[mLm\lw+sdLON3sUhL][m\lU@k+RTnvu§kOU@wz[m\lN3nV[.N¡[myvUh\Lg`k.U+\n§stL.N@iC\luF\nPªR udUz¶dnt\e[]\_N3n+N3C[myvUUh±CsU@wz[.Uxu RTnu RhiaUzLR3PQUURT[m`dLOU@kM®yd\lw.yH\_k\enaiaRTL]\RTna[oN3C[myvUL.UzsdL.Uxk.Uzna[RT[m\lN3n RTnufkm[RTZt_U`tnudUzL#[]yU[mLhRTnkm6N3LmSfRT[m\lN3nP3LON3`ds« n1[myvU¶t_[]yRTnuV¶dn%RTÊkOU@wz[m\lN3nbc®jUsdLOU@k.Uzna[ RTnUz±FsUzLm\SVUhna[RTÃRTsdste\lwRT[m\lN3nN3o[myvU"[]yUxN3Lm[ON[myvUuRT[hRl`km\lN3n¡stL.N3ZdlUzS« ,. ,. ,. STSVUXW>Y[ZY\.
(47) . I,
(48) #
(49) ' #.
(50) .
(51) Ç
(52)
(53) v%h@
(54) j$
(55) ¨
(56) x !"$#&%')(!)*+,"-)(!+./0"1( 232 (!". Õ xU N3SVUh[]Lm\lw"6UTRT[]`dL.Uxk RTL.UPQUznUzLRTe¢udUz¶dnvU@uªR3kk.Uz[.kN3sN3\na[.kH\en[]yUstRTnvUN3Lg¤Q¥k]sR3wxUQb RTnu1[myvU kOUh[N3ÃRTe%PQU@N3SVUz[mLm\lwURT[m`tL.Uxk#N3MR"P3\iaUzn[ÅCsUwTRTnVZUutU@k.wzLm\ZUxuZaVR s%RTLRTSVUz[.UzL 4 RTnvu§R1_`tnwz[m\lN3n576 498;:=< ®yd\lw.yªR3k.k.NCwh\6RT[.Uxk[myvUsRTLRTSVUz[.UzL 4 [.NV[myvU+PQU@N3SVUz[mLm\lw"6UTRT[]`dLOU Ël[]yUk.Uz?[ > 506 Ì« ÁjyUl`dnvwh[]\_N3Mn 5udUxk.wzLm\ZU¡RsRTL][m\lwh`tRTL1[ÅFsU¢N3 PQU@N3SVUz[mL]\_w:A6UTRT@C[]`dB7L.UDFËlE \nUxkxbF49sd8G6:=RT<InUxHKkxbdJ$wh`tL LmiaUxkxbF[mLm\6RTnP3lUxkxbÊ«x«x«OÌ"®\e[]y¡RgkmsU@wz\¶w
(57) &
(58) 0 0
(59) ( 4 «³¤Q¥¨N3L]\_Uzna[.Uxusd6RTnUxk£wTRTnVN3L£\envkm[RTnvw@UZULOUhstL.Uxk.Uhna[OU@uVZc 4NH 6PO 8RQS< ®yvUhLOU O\_k£R"`tnd\[ iaU@wz[.N3LË[myUnvN3LmSfRTo[ON[myvUsd6RTnUÌHRTnu Q [myvUuF\lkm[hRTnwxU[.N[]yUN3L]\_P3\n«"ÁjyUUx^c`%RT[m\lN3nªN3 ¼ºsd6RTnU 4 ½\lk»[]yUzn· 506 498G:=<THVU O,W :YX[Z\QVHJ Rkm`%RTk.Uz[.kN3 PQU@N3SVUz[mLm\lw1URT[m`dLOU@kTb»km`w.y\nUxkxbÃwz`dL]iaU@kxbkm`dL]DR3wxU@kx«x«x«ORTLOULOU@P3`tRTLVRTnvu w@N3nvkm[m\[m`t[.U¡uC^\ ]UzL.Uzna[m\6RTSfRTnd\N3ludkx«&Á#yt\_k SURTnk [myRT[+[]yUfk.Uh[\_klNCwTRTeªuC^\ ]UxN3SVN3Lmsdyt\_w [.NRiaUxwh[ON3Lkms%R3w@U B7_ Ël\É« U+[myvUhLOUUz±C\_km[OkxboRT[UR3w.y&sN3\na[+N3#[]yU1SRTnt\e6N3_u `bRlNFwRTe uFa\ ]UhLOUhna[]\RTZt_U¡N3nvUhÈD[ON3ÈÅN3nUSfRTstsd\nP_LON3b S ` [.N dÌ cfe ZUh\nP[]yUuC\eSVUznkm\lN3nN3[myU SfRTnd\N3lu« n[myvURTZN@iaU¢Uh±vRTS1sdlUQbîjUwRTnk.UxU[]B7y_ RT[1[myvUsRTLhRTSVUh[OUhL 4 \_k6N3`dLVuF\SVUhntÄ km\lN3nRT#®\e[]yR^c`%R3uFLhRT[m\lw¡w@N3nvkm[mLhRT\ena[¢Ë®yd\lw.y\_k uFa\ ]UhLOUhna[]\RTZt_UÌbRTnustRTnvU@kRTL.U[]yUzn!R ¤Q¥ÈDSRTnt\e6N3_uVUx^c`t\eiaRTlUznc[£[.IN gihkj nË gih\lk³[]yUH`dnt\e[kmsdyvUhLOU\n¢¤Q¥ Ìh«¥Uxkmst\e[OU[]yULRT[]yUzL w@N3S1st_Uz±SfRT[]yUzSRT[]\_wRTN3LmS`d6RT[mBm\lN3lnbv[]yd\lkkm\eS1ste1SVUTRTnvk#[my%RT[SfRTnd\N3ludkHRTL.UgnN3[[]LR3uF\Ä [m\lN3nRToiaUxwz[.N3LHkms%R3w@UxkxbdZd`d[HlNFwRTeVSfRhVZU"[mLOUTRT[OU@uR3k\[myvUhf®#UzL.Uc« styUzL.Uxk N3LHk]SNCN3[my km`dL]DR3wxU@kHRTLOUkm`vw.y¡SfRTnd\N3ludkxbR3k#\lk#[myvUk.Uz[N3oLON3[RT[m\lN3nSfRT[mL]\_wxU@kj®yd\lw.y¡\lkU@^a`d\iaRTlUhna[j[.N oqpË[myUgsdLON3pÉUxwz[m\iaUkms%R3w@UgN3 B7r ÌZcfSVUTRTnvk#N3=`tnd\[^a`RT[.UzLmnt\_N3nvk Ë6k.UxU KÁ QTZ=b ECRQ C 6Ì« K=N3\nc[Ok#[mL]\eiC\6RTe1w@N3nvkm[m\[m`t[.U R"SfRTnd\N3luk]\envw@U[]yUzRTL.UR3uFfRTLOU"RgiaU@wz[.N3LjkmsR3wxUcL« EnN3[]yUzL \ena[OUhLOU@km[]\envP§[ÅCsU¡N3URT[m`tL.Uxk\lk+N3Lm\lUhna[OU@usN3\nc[Okxb»®yd\lw.y!RTL.UVsN3\ena[OkR3k.kONFwz\RT[OU@u°®\e[]y!R iaU@wz[.N3LT« `vw.y&6UTRT[]`dL.UxkwRTnZUUz±C[mLR3wz[.Uxu_L.N3SRVkmSVNFN3[]yªkm`dL]DR3wxUQb=N3Lg\envkm[RTnvw@Ucb=®yUzL.U [myvUnvN3LmSfRT\_kjRT[m[hR3w.yUxuRT[jUTR3w.yVsN3\ena[N3Ê[]yUHkm`dL]DR3wxUQ@« EÀkm\Sst_UjL.UzsdL.Uxk.Uzna[RT[m\lN3n\lk»P3\iaUhn Zat s H 6 :8 O < ®yUzL.U : \_k#[]yUgsNQkm\e[]\_N3n§RTnuu O)R`dnd\[iaUxwh[ON3Lx«»Á#yvU SfRTnd\N3lu¡N3N3L]\_Uzna[.Uxu sN3\ena[Ok\_k#[]ya`kHU@^a`d\iaRTlUhna[j[.N B p j-g h ®yUzL.qU g h \lk»[]yUg`dnd\[kmstyUzL.U N3o[myvU¤Q¥kmsR3wxUc« Á#yvUhLOU"RTLOUHN3_[.Uznna`tSUzL.N3`vk#®Rhtk»[.N L.UzsdL.Uxk.Uzna[HRP3\iaUhnVSfRTnd\N3lubF®\[myfuFa\ ]UhLOUhna[stL.N3Ä sUhL][m\lU@kT«M²°U#wRTn+N3L\envkm[RTnvw@UudUz¶dnUHRSfRTnd\N3lu1R3kR k]`dZk]sR3wxUN3 Bv ®\[my+uC^\ ]UzL.Uzna[m\6RTZdlU w@N3nvkm[mLhRT\ena[OkRTnvuRN3nvUhÈD[ON3ÈÅN3nUwxN3LmLOU@k]sN3nudUznwxUZUz[Å®#UxUhn¢URT[m`dLOU@kgRTnvu¡sRTLRTSVUz[.UzL.kx·³[]yd\lk sdLON@iaUxk[]yRT[[]yUk.Uz[N36UTRT[]`dLOU@k\lkR+uFa\ ]UhLOUhna[m\6RToSfRTnd\N3lu8« ;dN3L N3[myUzLsd`tLmsNQk.Uxkxbv\n¡s%RTLmÄ [m\lwh`tRTLuFa\ ]UhLOUhna[m\6RT[m\lN3nb\e[ \_kgnUxw@Uxk.kRTL][ON¡yRziaU¡R " %
(60) &
(61) 0 0
(62) ( ,ªËl®yUzL.U1[myU uF\SVUhnvkm\_N3nªN3[myvU+sRTLRTSVUz[.UzL"\lk[myvUuC\eSVUznkm\lN3nªN3[myU+SfRTnd\N3luÌhb=N3L SVN3LOU+PQUhnvUhLhRTeªR k.Uz[#N3Mw.yRTL][.kN3L]S1\envP+RTn¡RT[]R3kN3Ê[]yUHSRTnt\e6N3_uÊbdUh±vR3wh[]e+[]yUgkRTSVU#®Rh1®#UnvU@UxukOUhiaUzLRT w.yRTL][.k[.NLOUhstL.Uxk.Uhna[[]yUURTLm[]ykm`dL]DR3wxU"\nRwxN3na[m\nc`vN3`kH®RzUziaUzLmC®yUzL.Uc«»rR3w.yw.yRTL][\lk ,. . M. ,. S .
(63)
(64)
(65)
(66)
(67)
(68) !"$#% &'(
(69) *)+" , . :. udUz¶dnvU@u+ZaVR N3nvUhÈD[ON3ÈÅN3nUuC^\ ]UzL.Uzna[m\6RTZdlUSfRTs 6 _LON3S{[myvUL.UzsdLOU@k.Uzna[RT[]\_N3nV\ena[ON"[myvUSfRTÄ nd\N3luRTnuRTn¡N3sUzn¡udUz¶dnt\e[]\_N3nudN3SfRT\en.«ÃÁ#yvU 4)kO< Uh[N3ow.yRTL][.kS`vkm[wxN@iaUzL#[]yUgSRTnt\e6N3_u RTnu1S`k][N@iaUzLm6RTsUR3w.yVN3[myvUhLjk.NH[myRT[£\[\_ksNQk.km\ZdlU#[ON"SVN@iaU£_L.N3S N3nUw.yRTL][[.NRTnvN3[myvUhLT« E¹km[]`uCÆN3"uC^\ ]UzL.Uzna[LOUhstL.Uxk.Uznc[hRT[m\lN3nk6N3Lf}Q¥ RTnu!¤Q¥¦\envU@kTb³sd6RTnUxkRTnvu)LON3[RT[]\_N3nvk\lk sdLOU@k.Uzna[.Uxu&\n ECRQ C É«²&U1N3nte)R3k.km`tSU+6N3L[myvUSVN3SVUznc[g[my%RT[®jUy%RhiaU¢RN3nUzÈD[.N3ÈÅN3nvU uFa\ ]UhLOUhna[]\RTZt_UHL.UzsdLOU@k.Uzna[RT[]\_N3nN3[]yUSfRTnd\N3lubRTnu1®#U®\ed\ludUzna[m\_V[myd\lkL.UzsdL.Uxk.Uzna[RT[m\lN3n ®\[my[]yUgSRTnt\e6N3_uÊ« . . \2)(!"1)$(f"$# \ f/0". . Á#yUzL.UgRTLOUR"na`tSZUhL N3ʺRTS\\RTL£[mLhRTnkm6N3LmSfRT[m\lN3nkx·³[]LRTnvkmRT[]\_N3nvkxbtLON3[RT[]\_N3nvkxbvkm\S1\e6RTLm\[m\lUxkxb RT¯+nUH[mLhRTnkm6N3LmSVkx«x«@«¡N3L.U PQUhnvUhLhRTeabR[]LRTnk]N3LmSfRT[]\_N3nN3³Rk.Uz [
(70) \lkRN3nvUhÈD[ON3ÈÅN3nUgSRTs N3
(71) N3na[.N
(72) )« \lk#RH[mLRTnvkmN3L]SfRT[m\lN3nbt®jU®\e%udUznN3[.UZa :tH 6 :=< []yUgRTsdste\lwRT[m\lN3n N3o[myvU []LRTnvkmN3L]SRT[]\_N3n[ONVRTn¡Uz_UzSVUhna[ :Y@
(73) )bvRTnvuZa o[]yUH\enaiaUzL.k.UgSRTs=« RTnvu h RTLOU[Å®#N1[mLhRTnkm6N3LmSfRT[m\lN3nkTb[]yUSfRT s =6 :=<0H h 6 6 :=<G< \lkHRT_kONR+[mLhRTnkm6N3LmSfRT[m\lN3n·[myU w@N3S1sNQkm\[m\lN3nN3 RTnu h Ë H h! Ì«¡Á#yUVk.Uz[N3HRT[mLhRTnkm6N3LmSfRT[m\lN3nk+®\[my°[myUxk.U N3sUhLhRT[m\lN3nk\lk#wRTelU@uV[myvUPQUznUzLRT=[]LRTnvkmN3L]SRT[]\_N3nP3LON3`dsN3kOUh[
(74) )bvRTnvuRTna¡km`tZP3L.N3`ts " \_k R[mLRTnvkmN3L]SfRT[m\lN3n§P3LON3`dsN3
(75) )« Á#yvU\eS1sN3L][RTna[wz6R3k.k+N3 %\lUP3L.N3`tsk1\_k1N3Zt[RT\nUxu \ " y%R3kVR§k.UzsRTLhRT[.U¡[.N3sN3lNQP3\lwTRT km[mL]`wz[m`tL.U¢ËºRf¬RT`k.utN3L ]kms%R3w@UÌRTnu[]yU+wxN3SsNQk]\e[]\_N3nªRTnvu¢\naiaUhLOkm\lN3nSfRTsvk"RTLOUuFa\ ]UzL.UzndÄ [m\6RTZdlUH#Ë "\_k=[]yUznVRuFa\ ]UhLOUhna[]\RTZt_U#SfRTnt\e6N3_uvÌ« nºR3wh[TbSVNQkm[=`vkm`RTt[mLhRTnkm6N3LmSfRT[m\lN3n1P3L.N3`tsk RTL.U %\lU"N3nvU@kxbR3kk.NCN3nR3k[myvUP3LON3`ds\_kw@N3na[m\na`N3`vk+Ë\en[]yU"nvN3ndÈÅuC\_k.wzL.Uz[.Uk.Uhnvk.UÌRTnu¡y%R3k L.UR3k.N3nRTZt_U1N3sUzLRT[]\_N3nvkx« n[myt\_k RTLm[]\_wzlUQb%®jU®\eÃ`k.U[]yU1¤Q¥ L]\_P3\luSVN3[m\lN3n§P3LON3`ds)R3kgRTn Uh±vRTS1sdlUVRTsdsd\lwTRT[]\_N3n=« EnUzlUhSVUznc[ N3#[]yd\lkP3LON3`dsÆwRTn§ZUVudUz¶dnvU@uR3kg[myvUwxN3S1sNQkm\e[]\_N3n N3gR¢LON3[RT[]\_N3n!®\[my!R[mLRTnvkm6RT[m\lN3n« [1wTRTnZULOUhstL.Uxk.Uznc[OU@uZa% $ H 6#& 8'G< bîyUzL.Uf[myU [mLhRTnkm6RT[m\lN3n ' ZUhlN3nPQk[.N B pRTnu+®yUzL.(U & \lk»RL.N3[hRT[m\lN3nSfRT[]Lm\±V˺R ¤T±¤SfRT[mL]\e±kRT[m\lkm_C\nP &*)+&, &,-)+& RTnvu 02143 6#& ÌbRTnufyUznwxUZUzlN3nPQk#[ON[myvU"kmsUxwz\RTN3Lm[]yNQPQN3n%RT P3L.N3`ts H g98 p «)Á#yvH/U.\Q naiaUhLOk.URTnuwx<TN3H6S15*sNQ7 k.U1SRTsvk1RTL.U¡UR3km\eª®L]\e[][.Uzn Ë_¼« ½ \lk[myvUSfRT[mL]\e± S`d[m\sd\lwTRT[]\_N3n%Ì· $ : H 6#& , 8 & , ) ' < RTnvu $ H $ h- $ H 6#& h );& 8 & h ) ' 5<' h < ". ". >=. ?!2 22)(!"1)$( )tA@!6B !*+0)(K"1/0=[ ![ (!"DC )$ (. n[]yUwR3k.U N3PQU@N3SVUz[mLm\lwN3ZtpqU@wz[.kxb%[]yU[]LRTnvkmN3L]SRT[]\_N3nª`k]`RTeRTsdsd\lU@k[.N1[myvUsd6RTnUN3L [myvU+¤Q¥ kms%R3w@UË6N3LHSVN3L.U PQUhnvUhLhRTe B D ÌhbvZd`t[ ®jU"®\_kmy¢[.N1®#N3L]´¡uF\L.Uxwz[mN3nURT[m`tL.UxkRTnvu [mya`k£S`k][³[hRT´aUsRTL][m\lwh`tRTLjwTRTLOU[my%RT[»[]yUz\eLnRT[]`dLOU\lksdLOU@k.UzLmiaUxuVuF`dL]\envP[mLhRTnkm6N3LmSfRT[m\lN3nkT« STSVUXW>Y[ZY\.
(76) ~. I,
(77) #
(78) ' #. O#N3nk]\_utUhLTbC6N3L#\nkm[hRTnwxUQbF[my%RT[[Å®#N+N3L][myvN3nN3LmSfRT³RT±dUxk#RTLOU nvN_N3nvPQUhLN3Lm[]yN3nN3L]SfRToRTl[.UzLHR QP UhnvUhLhRTRT¯+nvU []LRTnk]N3LmSfRT[]\_N3n=«£ÁjyUH¶dL.k][w@N3nvkm[mLhRT\ena[H\lk»[myvUhn¢N3L[]yU"SfRTnt\e6N3_ut` [.N+ZU P3_N3Z%RTe1\enaiaRTL]\RTna[j`dnutUhL[myUHwxN3nkm\ludUzL.Uxu[]LRTnvkmN3L]SRT[]\_N3nP3L.N3`ds "£«²°UHwTRTnV[myvUhn¢udUz¶dnU [myvU\eSfR3PQUN3[myvUURT[m`tL.U 4 bFkRT[m\lkmlF\nPm506 4i8G:=<THJ bcZaVR[mLRTnvkmN3L]SfRT[m\lN3n @ "ªR3k³ZUz\envP [myvU6UTRT[]`dL.U 4 @ ` LOUTRT\lµh\n?P 576 4 8 :=< H J «²°U®\eo®L]\e[OU 4 H 4 « ²!\e[]y§[]yd\lk udUz¶dnt\e[]\_N3n=b³[myUfP3L.N3`ts "¨\_kRT_kONR[mLRTnvkmN3L]SfRT[m\lN3nÆP3L.N3`dsÆN3[myU1SfRTnd\N3lu ` « [+wTRTn ZUiaUhL]+[mL]\_w.´C+[.NSfRT´aU#[]yUgRTsdste\lwRT[m\lN3nN3sUzLRT[]\_N3nfUh±Csd\lwh\[£N3nkON3SUPQU@N3SVUz[mLm\lwURT[m`tL.Uxk ®\[myk.N3SVU+L.UzsdLOU@kOUhna[RT[]\_N3nvkRTnvu[myt\_k+wRTnlUTR3u&[ONyd\lP3yd&nN3ntÈDe\nURTL+[mLhRTnkm6N3LmSfRT[m\lN3nkT« ¬N@®jUhiaUzLxbÊ`vkm`RTwR3k.UxkHRTL.U+PQUznUzLRTekm\S1sdlUQ·#\n[myU+wR3k.UN3£N3L]\_Uzna[.UxustRTnvU@kHsdLOU@k.Uzna[.Uxu RTZN@iaUg`dnutUhLL]\_P3\luSVN3[]\_N3n=bC®jU y%RhiaU . . . 576 498 $ :=<THVU O0W &*) : 5 'X[ZkQqHVU & , ) O0W : X 5AU O,W ' X[Z\Q H J ®yd\lw.ySVUTRTnvk[]yRT[ $* 4H 6#& , O R8 Q3Z U O0W ' X\< « , \S1\e6RTLmab[myvURTstsd\_wRT[m\lN3n°N3#R+Lm\lP3\lu [mLhRTnkm6N3LmS $¡[ONRTn¢N3Lm\lUhna[OU@u¡sN3\na[s H 6 :8 O < \_kx· s H $ks H #6 &*) : 5 '98 &*) O < ²&Ug®\eZU+RTlk.N+\ena[.UzL.Uxkm[OU@u\nR[]yd\L.u¡[ÅCsUN3URT[m`tL.Uc·j_LhRTSVU@kx«8E _LhRTSU \_kutUh¶tnUxuZc. R sN3\na["®\[myªRTn)R3k.k.NCwz\RT[OU@uN3L][myN3nvN3LmSfRT[mL]\eyvU@uCL.N3n«+²&Uy%RhiaU1RTL.UR3uFnvN3[.Uxu[]yRT[g®#U wTRTntnN3[`vk.UH[myURT¯+nUgP3L.N3`tskm\envw@UHN3L][myN3nvN3LmSfRTo[]Lm\yUxuFLR+®jN3`dlunN3[ZU"wxN3nk.UzLmiaUxubZd`t[ Lm\lP3\_u¡SVN3[]\_N3nvk"RTLOURTstsdL.N3stLm\6RT[.Uc« E s%RTLm[]\_wz`d6RTLm\[ŧN3lLRTSVUxk\_k[]yRT[H[myvUhRTLOUUx^c`t\eiaRTlUznc[ [.NVLm\lP3\_u¡[]LRTnk]N3LmSfRT[]\_N3nvkx« nutU@Uxub=RTnalLRTSVUudUz¶dnvU@k R+ZR3km\lkN3L ¤Q¥ kms%R3w@URTnuk.N1®#U wTRTnfL.UzsdLOU@k.Uzna[UR3w.ylLRTSVUZcV[myvU L]\_P3\lu[]LRTnvkmN3L]SRT[]\_N3n¢®yd\lw.ySfRTsV[myUHwRTnN3nt\_wRTÊZ%R3km\lk [.N+\[.k.Uzem« [\lk»[myvUhnUTR3kmV[.N+iaUzLm\_V[my%RT[Hw@N3S1sNQkm\[m\lN3nRTnvuRTsdste\lwTRT[]\_N3n§RTL.UUx^a`d\iaRT_Uzna[x« (!f";f"#Y+0( (-PA@ A@! )(f"1; $(. f/. . E kmsUxwh\6RTo´C\envu§N3£L.Uz6RT[m\lN3n&ZUz[º®jUxUhnª[myvUSfRTnt\e6N3_uªRTnuª[myvUP3LON3`ds°®\eoZU+iaUzLm\SsN3L]Ä [RTna[x· lUz[ @ ` ZU+RTnªUz_UzSVUhna[HwRTelU@u¡[]yU+N3L]\_P3\n«Á#yvUSfRTnd\N3luY` \lkB
(79) N3L
(80) '
(81) 0
(82) ³6N3LH[myU+P3LON3`ds "\e£RTnaN3[myvUhLgUz_UzSVUhna[HN3[myvUSfRTnd\N3luwTRTnZUN3Zt[RT\nUxu ZaRg[mLRTnvkmN3L]SfRT[m\lN3nN39"£bc\É« UQ«=\e" H > H E @ " L H `«Á#yd\lk³SVURTnk[my%RT[ [myvU6UTRT[]`dLOU@k£®#UwxN3nkm\ludUzL£yRhiaUnvN\enaiaRTL]\RTna[Okx« nºR3wh[Tba®jUHR3k.km`tSVU#[my%RT[»®jUwTRTnfkmste\[[myU URT[m`tL.Uxk \na[.N¡RTn\naiaRTLm\6RTna[HsRTLm[Ë®yd\lw.y®#U udN1nN3[gw@N3nvkm\ludUzLyUzL.UÌRTnuªRiFRTLm\6RTZdlU"sRTL][ `dnvudUzL[myU P3L.N3`tsN3o[mLhRTnkm6N3LmSfRT[m\lN3n« n[]yU+wR3k.UN3yN3SVNQPQUznUxN3`kHURT[m`tL.UxkxbÊ®#U\ludUzna[m\_[myvUSfRTnd\N3lu¢®\e[]y§Ux^a`d\iaRT_UznwxU wh6R3k.k.UxkgN3#P3LON3`dsUzlUhSVUznc[Ok \nª[myU1N3lN@®\nP®RhF« ÊUz[ ZU[myUVkm`tZk.Uz[N3j[mLhRTnkm6N3LmSVk [my%RT[_URhiaU \enaiaRTL]\RTna[T· Ë]TÌ H > @ " E H L.
(83) . . . . ". . . . . . . S .
(84) .
(85)
(86)
(87)
(88)
(89) !"$#% &'(
(90) *)+" , . Â\lkHR+P3L.N3`ds°RTnvu¢\lkwRTelU@uV[myvUP" 0 [&"N3L (G P3L.N3`tsªN3 " TR [ 1«jÁ#yvUlUhl[w@NQkOUh[Ok ÂwRTnZU"\ludUzna[m\¶Uxu¡®\[myUz_UzSVUhna[OkN3i`« nudUxUxubv\9 H : db [myvUhn \_kj[myU k.Uz[N3o[]LRTnk]N3LmSfRT[]\_N3nvk®yd\lw.y¡SfRTs [.N : «o²&UH®\e®L]\e[OU ËÅ}QÌ :N H > @ " E H:)L ®jU#wxN3nk]\_utUhL6N3L\envkm[RTnvw@UsN3\na[URT[m`dLOU@k®\[my1N3L]\_P3\n RTnvu+Lm\lP3\_u[]LRTnk]N3LmSfRT[]\_N3n=b ®#U+y%RhiaU H >S6#& 8GJ<E & @ g98 p L RTnvu : H >S6#& 8G:=< E H&J @ g98 p L ®yUzL.U & \_kRTnc L.N3[hRT[m\lN3n « ;dN3L_LhRTSVUQbv[hRT´F\nP¢R3k[myvU+N3Lm\lP3\en[]yU+wRTnN3 nd\lwRToZR3km\lkË H 6 .28;J< Ìhbv[myvUhn RTnu)RTe\[.k w@NQk.Uz[.kRTL.U+L.UxuF`vw@Uxu§[ONRkm\nP3lU+sN3\ena[T· $ H > $ L «Á#yt\_k kmsUxwh\6RTwTR3kOU®yUzL.U [myvU¢SfRTnt\e6N3_uÆ\_k1Ux^c`t\eiFRT_Uzna[[ON&[myvUP3L.N3`ds _UR3udk1[.N°\eS1sN3Lm[hRTna[¡km\S1sd\e¶vwTRT[]\_N3nvk\nÆ[myU [myvU@N3L]a« EkgRTn\na[.UzLmSVU@uC\RT[OU+Uh±vRTS1sdlUQbd®jUw@N3nvkm\ludUzLHN3Lm\lUhna[.UxusN3\ena[Okx·j®jUk.Uz[[myvUN3Lm\lP3\n [.N H 6 J 8 p < bF®yt\_w.yfSURTnk[my%RT[HRT%LON3[RT[]\_N3nvk & gRTLON3`dnu¡[]yUH[myt\eLOuRT±F\lk p ®\elUh[j\e[ \enaiaRTL]\RTna[T· H > &
(91) @ g98 p E &*) p H p L « . . . . . . . O. O. Frames. @Y. U. U. O. Oriented Points. U. U [U. U. U. [U. Points. U. Q 9 Q$& ) $ (N) (N1"#><$M) M*<I; Q*1$5" IO M*1$ " IO*1" $B(N)C"#* 6)( * -Q8 ";%I6>* U. . U. ( ( )(!+0="1[)/(f" ; = =(f"V)" )(f+ /)
(92) ( " /,". [H\lk®#UzeôFnvN@®nª[my%RT[R1L.N3[RT[]\_N3n°SfRT[mLm\±wRTnZU+w.yRTLR3wz[.UzLm\lµxU@uZa&RTn°RTnvP3_UfRTL.N3`dnvu RTnRT±C\_0k OÆË`dnd\[iaUxwh[ON3LÌhbtZd`t[Hkm\nwxU []yU RT±F\lk#\lk#wxN3nkm[]LRT\nUxubv[]yd\lkw@N3`tsdlU"\lk#nN3[S\nd\SfRT Ël[]yUuC\eSVUznkm\lN3nN3[myvUL.UzsdLOU@kOUhna[RT[]\_N3n\lkW+\envkm[.UR3uN3£¤QÌRTnu[]yURT±C\lk\_k#SVN3LOU@NxiaUhLnvN3[ udUz¶dnvU@u6N3L[myUj\_utUhna[m\[Å[mLhRTnkm6N3LmSfRT[m\lN3n«Á#yU£L.N3[RT[]\_N3n+iaUxwz[.N3L H ) O\lkRT®RzdkoutUh¶tnUxu ËlS`te[]\esteFbÊkm\nwxU \lkSVNFuC`dlN MÌHRTnuªuFa\ ]UhLOUhna[m\6RTZdlUcËk.UxU KÁ QQR oN3Lg[myvU+U@^a`RT[]\_N3nvkÌ« nN3L.udUzL[ONutUh¶tnURTnRT[m6R3kN3=LON3[RT[]\_N3nvkxbv®jU nvU@Uxu\n¡DR3wz[#6N3`dLHw.y%RTLm[.kT« k V_L.N3S [myU ="! x - N3n§LO$U #vU@wz[m\lN3n§LON3[RT[]\_N3nvk+RTL.ULOUhstL.Uxk.Uhna[OU@uªZcLON3[RT[m\lN3nk iaU@wz[.N3LO% N3sUhn¢ZRT' & p 6 J 8 < « . '. STSVUXW>Y[ZY\. .
(93) @. I,
(94) #
(95) ' #. x 3 < / Ô J N3n&\ludUznc[]\e[Å°L.N3[RT[]\_N3nvk+®\e[]yRT±C\lk"nN3[N3Lm[myvNQPQN3nRT[ON¡[myvU RT±C\lk ËlLOU@kmsUxwz[m\iaUhbCÌRTLOU¢LOUhstL.Uxk.Uznc[OU@u ZcÆLON3[RT[m\lN3n¨iaUxwz[.N3L.k &lL.N3S©[myvUN3sUhn!yRT: Z%RTe & p H > @ & p 6 J 8 <IE X J$L ËlLOU@k]sU@wz[m\iaUh & p b & p Ì« n&[myvU@N3L]&®jUnvU@Uxu§[ONyRTnuC_U¢RTe6N3`dL+w.y%RTLm[.kT b³ Zd`d[ \en°sdLR3wz[m\lwxUN3nteª[myvUsdL]\envwh\sRT w.yRTL][+Ë[myvU¶dL.k][Ì\_knvU@UxudUxuR3k_N3nvPR3k\[\lkL.UzSUzSZUzL.Uxu[my%RT[xb=RT[[]yUZN3`dnvuRTL]N3[myU udN3SfRT\nb ) OVRTnu ) OVRTL.U\_utUhna[]\_wRTÅ« ÊUz [ =6 RTn u
(96) 6#& udUznN3[.U£[myvU³SfRTsdst\envPQk ZUh[Å®jU@Uzn&LON3H [RT[]\_N3n°iaU@wz[.N3LOHAk+RTZ nuªSRT[]Lm\lw@UxkxbÊ®jU+wTRTnªnNx® < ®Lm\[.U1uC\eLO<U@wz[m[myU1wxN3S1sNQkm\e[]\_N3n RTnu\naiaUhLOkm\lN3n¡Rz®kN3n¡[]yUgL.UzsdL.Uxk.Uzna[RT[m\lN3n· H
(97) 6 =6 < , < RTnu h- H
(98) 6 =6 h < ) 6 <G< ;FLRTSVUxk¡RTnvuÇSVN3[m\lN3nk¢RTL.UL.UzsdLOU@k.Uzna[.Uxu¨ZaÀRªL.N3[RT[]\_N3n iaU@wz[.N3LRTnuÀRª[mLRTnvkm6RT[m\lN3n·)6N3L w@N3naiaUznd\lUhna[gnN3[hRT[m\lN3nb%®jU"®\eM®Lm\[.U $ H 6 8 ' < RTnuwxN3nkm\ludUzL\e[gR3kHR1wxN3e`tSn¢iaU@wz[.N3LT« n [myt\_klLRTSVUh®jN3Lm´ÊbM[]yUVL.UzsdL.Uxk.Uzna[RT[m\lN3nÆN3HRsN3\na[+N3[myvU¡ro`wz\_utUTRTn)kmsR3wxU\lkutUhnvN3[.Uxu : Ël[]yUk][RTnuvRTL.uwxNFN3LOuF\nRT[.UxkÌh«»Á#yUgkm[RTnvuRTLOuN3sUhLhRT[.N3L.kHwRTn[]yUzn¡ZU ®Lm\[m[.Uzn· ¸ O#N3S1sNQkm\e[]\_N3n=· $ H $ h $ H 6 h 8 h ' 5 ' h < ¸ naiaUzL.km\lN3n · $ > H > 8 A 6 Z 'G< ¸ Esdsd\lwTRT[]\_N3n¡[ONVRsN3\ena[x· : H $ :tH : 5 ' ¸ O#NQk.Uz[.k#N3ÃsN3\ena[.kT· : H > $ H 6 8 :=< E =6 <0@ g98 p L ¸ Esdsd\lwTRT[]\_N3n¡[ONVR_LRTSVUc · $ H $ h $ H $ h $ ¸ O#NQk.Uz[.k#N3Ã_LRTSVUxkx· $ H > $ L « ="!. '. (". . . S .
(99) Q.
(100)
(101)
(102)
(103)
(104) !"$#% &'(
(105) *)+" , . ' Ã
(106)
(107) v%hÀ* + ...
(108) Á#yU¶tL.km[wz6R3k.k»N3MsdLON3ZdlUhSVk»\n¡PQUxN3SVUh[]Lm\lwsdLON3ZRTZd\\e[ÅRTLOU ^a`Uxkm[]\_N3nvkN3=yvN@®¨[ONSVUTR3km`tL.U [myvU¡sdL.N3Z%RTZd\e\[Å!N3"NCwxwh`tLmL.UznwxUN3 RTn!UhiaUzna[®yUznÇkON3SUfPQU@N3SVUz[mL]\_w¡UzlUhSVUznc[Ok1RTL.U¡LhRTndÄ udN3S1uC\_km[]Lm\Zd`t[.Uxu« D£UhL][mLhRTnu ksRTLhR3udNx±\ee`vkm[mLhRT[.Ug[myU nUxU@u[ON1w@N3nvkm\_utUhL\enaiaRTL]\RTnvw@UgZc R[mLRTnvkmN3L]SfRT[m\lN3n1P3L.N3`ds1\nN3LOudUzL[.NHN3Zd[hRT\enVRkm\nP3lUjRTnu®jUhCudUz¶dnUxuL.Uxkm`te[T« nDR3wz[xbQ[myU sdLON3ZdlUhS e\lU\en¢[myUgnN3[]\_N3nN3PR {uF\lkm[mL]\eZt`d[m\lN3n)Ë6N3LSVUR3km`dLOUTÌh« N3SVUHSVN3L.UHL.Uxw@Uzna[ L.Uxkm`d[.kj\en %\lUHP3L.N3`ds¢[myUxN3LmVsdLON@iC\_utUR"SVURTnkjN3owxN3Sst`d[]\envP[myUHlUhl[»\naiaRTLm\6RTna[SVUTR3km`tL.U N3n1[myUP3L.N3`ds "£b®yt\_w.y+\nuC`wxU@k[]yU\nciFRTLm\6RTnc[SVUR3km`dLOUN3n+yN3SVNQPQUznUxN3`kSRTnt\e6N3_utkxC« En RTsdste\lwTRT[]\_N3n\lk»stL.Uxk.Uznc[OU@u¡®\e[]y[myvUPQUznUzLRT\_µRT[m\lN3nN3o[]yUgDRTlk.U sNQk]\e[]\eiaUxkRTn%RTetkm\lkx«. . . %. !. ,. ". =i
(109) . t)(!+ "t/0= +0 Á#yUjsdL.N3Zt_UzS LhRT\_k.Uxu+Zad «D»UzLm[mLhRTnu1\enT 3 :\_k[ON"¶dnvu[]yUstL.N3ZRTZt\e\[º1[]yRT[R¼ºLRTnvudN3S1½. w.yN3LOu+N3Rwh\L.wzlU³y%R3kR#_UznP3[]y1P3L.URT[.UzLo[my%RTn+[myUjkm\ludU£N3RTn\nk.wzLm\ZU@uU@^a`d\RT[OUhLhRTF[]Lm\6RTnP3lUQ« ²Ç\[myvN3`d[V_NQkOkN3gPQUznUzLRT\e[ÅFb»®#U¡wRTnƶd±[]yU¡LR3uC\e`vk[ONÆRTnuÆ[myvUkm\_utUlUhnvP3[my!N3H[myU [mL]\RTnvP3_U\lk[myvUh n C« Á#yt\_kstL.N3Zt_UzS wRTnZU"[hR3w.´FlU@u¡ZaªRT[lUTR3k][[mytL.UxUSUz[myvNFutkxbv®yt\_w.y RTL.Ug\ee`vkm[mLhRT[.Uxu\n¶P3`tL.U+¤C« 1 1/2 A 0 I. p A’ B. ok. A’’ ok. Method 1.
(110) . Method 3. Method 2. [U U. 59 G>*9 I $=*+2> *G*9 G -"#- :*&8>*9"<* " &1" IM ;+19 1I)("O+21+0:,9"$ ": )*9 /"#*,*9" 7*9 $&%IQ>)(4" 7 $+2-/I :%"#*1"#:
(111) *%" ):MU> :(%* * 9Q* T*9 > *9 I $5@)P"P )-"#- :*&86)( " I U. U. U. U U U . . Ïc ! ÓÔ - D³fudUz¶dnd\[m\lN3nbRw.yvN3L.u¡\na[.UzL.k.Uxwh[Ok[myU wh\L.wzlU \n¡[Å®#N1sN3\nc[Okxb%RTnvu¡®#UHSfRh R3k.km`tSU[my%RT[[myUxk.U£[º®jNHsN3\ena[.k£RTLOU#Ux^c`%RTe+RTnvu\envudUzsUhnvudUznc[]e1uC\_k][mLm\Zd`t[.Uxu1N3n+[myUwh\L.wz_Uc« 2. STSVUXW>Y[ZY\.
(112) T}. I,
(113) #
(114) ' #. Ek.km`tSU+[]yRT[1N3nUVN3[]yUsN3\na[.k\lk \n&¶P3`tL.U¤C«Á#yUzn&[]yUkOU@wxN3nuªsN3\ena[+yR3k [.Ne\lU ZUh[Å®jU@Uzn RTnu \en[myvU1wh\L.wz_U N3Lg[myU+w.yvN3L.uª[.NZU+P3LOUTRT[OUhLg[my%RTn§[]yU+[mL]\RTnvP3_U+k]\_utUQ« Á#yd\lk#\lkopÅ`km[ p N3=[]yUwz\L.wz`dS1UzL.UznwxURTnvu[myvUk.URTL.w.yvU@ufsdL.N3Z%RTZd\e\[Å¡\lk#[myvUhn p « Ïc ! ÓÔ 3 E¿w.yvN3L.u\lk+w.yRTLR3wz[.UzLm\lµxU@uZa&\[.k+uC\_k][RTnwxU 4 [.N[]yU¡wxUhna[OUhL¢ËZUh[Å®jU@UznÆ RTnu)TÌHRTnu\[.kHN3Lm\lUhna[hRT[m\lN3n +® « Lx« [x«"R+¶d±tU@u\envUVËlZUz[Å®#UxUzn§fRTnu MÌ« ®#U uFLhRh® [myU U@^a`d\6RT[.UzLRT=[]Lm\6RTnP3lU"®\[my§Rk]\_utU s%RTLRT_Uz=[ON[]yUw.yvN3L.uÊbv®#UgwRTnk.UxU []yRT[[myvUuC\_km[hRTnwxU yR3k[.N+ZUg_Uxk.k#[]yRTn h \nN3LOudUzL [ON+yRhiaURw.yvN3L.ulUhnvP3[myP3L.URT[.UzL[my%RTn C« EkOkm`dS1\nPVQR `dnt\e6N3LmS N3L]\_Uzna[RT[m\lN3n¢RTnu1uF\lkm[RTnvw@U[ON []yUN3L]\_P3\nbc®jU#¶dnvu+[myUznfRnvN3LmSfRT\_µxU@ustL.N3Z%RTZd\e\[Å N3 h Ë6km\nwxU 4 iFRTLm\lU@k#ZUz[Å®#UxUzn1RTnuªTÌh« Ïc ! ÓÔ < E w.yvN3L.u+\lko`dnd\l^a`UzeudUz¶dnUxu+Za[myvUN3Lm[]yNQPQN3nRTstL.N3pqU@wz[m\lN3n . N3[]yUwz\eLOwhlU w@Uzna[.UzLN3na[ON\e[T« [HyR3kH[.NVe\lU\nkm\ludU[]yU1uF\lk.wN3£LR3uC\e`vk \nªN3L.udUzLg[.Ny%RhiaUVRk]`d¯1wz\_Uzna[ _UznP3[]y« NtbR3k.km`dS1\nP . \lk"`tnd\N3L]S°uF\lkm[mL]\eZt`d[.UxuNxiaUhL h [myU1\nc[OUhL]\_N3LN3#[myvUwz\L.wz_UcbÊ[myU nN3L]SRT\lµ@UxustL.N3ZRTZt\e\[º¢\_k r « Á#yU RTZN@iaUg[mytL.UxUk.N3`d[m\lN3nk RTL.UwxN3LmLOU@wz[Zt`d[[myvUh¢udNnvN3[L.UzUzL[.N+[myvUkRTSVUnN3[]\_N3nN3 `dnt\e6N3LmS1\e[Å\n[]yU»®Rhg®jU»w.yvNFNQk.U£[myvU#w.yN3LOu« Rk]\envP[]yU 6 498 < L.UzsdL.Uxk.Uzna[RT[m\lN3nË6utU@k.wzLm\ZUxu \enf[myvU"k.UxwxN3nuSVUz[myvNFuvÌbd®#UHwRTn¡wxN3Sst`d[OUËDk.UxU gQ¤ 6Ì[myRT[[myUHsdLON3ZRTZt\e\e[Å¡SVUR3km`dLOU@k RTL.UgL.UxkmsU@wz[m\iaUze . . 2. 2. ,. 7. ) Q H Q 4 Q h 7 Z 4 \. . ) Q p H 4 ) dQ 4 Q. ) Q h H Q 4 Q. RTnuN3ntef[myUk.U@wxN3nu¢N3nU\lk#\nciFRTLm\6RTnc[H`tnudUzLH[myvUR3wz[m\lN3nN3oL.N3[hRT[m\lN3nkxb%[]LRTnk]RT[]\_N3nvkRTnvu L.U #Uxwh[]\_N3nvkx« Á#yvUk.N3`d[]\_N3n[ON[]yd\lksdLON3ZdlUhS \_k[ON+\eS1sNQk.U RTn¡\nciFRTLm\6RTnwxUwxN3nkm[]LRT\nc[TbÊN3LSVN3L.UHsdL.UzÄ wh\lk.Uze1[ON
(115) X
(116) [myvU"nN3[]\_N3nN3o`dnt\e6N3LmS1\e[ÅÊ·³N3L\nk][RTnwxUcbC`tnd\N3LmSÂN3n B SURTnkj[myRT[[myU sdLON3ZRTZd\\e[Å6N3L+RsN3\na[[.N¡\_U1N3n RTn&\nc[OUhL]iaRT
(117) : f: 5 Q \lk"[myvUkhRTSU6N3L+RT : «VÁjyd\lk \_k ZR3km\lwTRT&RTn°\enaiaRTL]\RTnvw@U1Za&[]LRTnk]RT[]\_N3n=« n°[myUVkRTSVU+®RzabRTnuk]\envw@U+®jUwRTnN3nte w@N3S1s%RTL.U+PQUxN3SUz[mL]\_wN3ZdpqU@wz[.kH®\[my°R[]LRTnvkmN3L]SRT[]\_N3n)P3L.N3`tsbÊ®#U+utUh¶tnU[]yU`dnt\e6N3LmS ËDN3L \enaiaRTL]\RTna[hÌÃSVUR3km`dLOUHËl[]yU#\nd¶tnd\[.Uxkm\SRTviaN3e`tSUjUhlUzSUzna[ÌoR3ko[]yU#SVUR3km`dLOU»ZUz\envP \naiaRTLm\6RTna[ Za+[myU R3wh[]\_N3nVN3MRTna¶d±tU@u1Uz_UzSVUhna[ $VN3[myUP3LON3`ds=« ÊUz[ Q ` 6 :=< ZUk]`w.yfRSVUR3km`dLOUgË ` km[RTnvudk6N3LSfRTnd\N3luRÌ cd[myt\_kjSURTnk£[my%RT[ Q ` 6#$! :=<TH[Q ` 6 :=< N3LHRTna : «ÃÁ#yvU\naiaRTLm\6RTna[ SVUTR3km`tL.UjwTRTn+ZUkON3`P3ya[£uF\L.Uxwh[]e+N3nVRHP3\iaUhn+LOUhstL.Uxk.Uhna[hRT[m\lN3nËDk.U@U gQ¤ 6ÌbcZd`t[jRPQUznUzLRT N3L]SRT\lkmS¦\lkudUziaUz_N3sUxu¡\en RTn :Q =[.NVUz±F[]LR3wz[ \[_LON3S¹[]yUlUhl[mÈD\naiaRTLm\6RTna["SVUR3km`dLOU Q " N3o[myvUP3LON3`ds "£« ". . ,. . . S .
(118) T¤.
(119)
(120)
(121)
(122)
(123) !"$#% &'(
(124) *)+" , . =i . \ (!+ 2 @
(125) (=)( ="f" (' \ f/ = C
(126) . "!23". ²&U+wRTnL.Ux^c`t\eLOU_Uz_[H\naiaRTLm\6RTnwxUfË Q "76> $ <kH Q "76#$ < Ì»N3LRTna¶d±tU@u @ "£bÊN3LHLm\lP3ya[ \enaiaRTL]\RTnvw@UË Q "76#$ <!HCQ "76#$ < Ìh« \nwxU"[]yU P3L.N3`dsªR3wz[.kN3n¢[myUg_Uz_[Ël[myvU+RTsdste\lwRT[m\lN3n N3=[]LRTnk]N3LmSfRT[]\_N3n $¡[ONURT[m`tL.U : \_k $! : ÌbF®jU"RTLOU SfRT\nd+\ena[OUhLOU@km[OU@uf\enV_Uz_[]ÈD\enaiaRTL]\RTnvw@U RTnu®jUH®\eSVUTRTnfZcV\nciFRTLm\6RTnc[SVUR3km`dLOU []yUg_Uz_[]ÈD\enaiaRTL]\RTna[HN3nUc« ÁoNVZUSRT[]yUzSfRT[m\lwTRTew@N3L]L.Uxwh[Tb®jUL.Ux^a`d\L.U[my%RT[6N3LRTnawxN3nc[]\ena`vN3`kL.URT_`tnwz[m\lN3n N3n "&®\[my¢w@N3S1s%R3wh[km`dstsN3Lm[xb®#UyRziaUQ· @ "
(127) 6> $ < ) Q "76> $ <TH
(128) 6#$ < ) Q "76 $ < ËŤQÌ []yUP3LON3`ds1\lko_NCwTRTwxN3Ss%R3wh[Tb[myvUhn+\[wRTn+ZU»sdLON@iaUznË ¬NCwQ ÌÊ[]yRT[[myvUhLOUUh±C\lkm[.kN3nte N3nUlUz_[mÈD\naiaRTLm\6RTna["SVUR3km`dLOUVËl`ts[.NfRk.wRTlU"DR3wz[.N3LhÌ[myRT[ kRT[]\_km¶vU@k[]yU1RTZNxiaUsdLON3sUhL][m\lU@kx« Á#yd\lk"SVUR3km`dLOU\_k wTRTlU@u[myvUË_Uz_[h̬RQRTL SUR3km`tL.U1N3»[]yUVP3L.N3`ts« n)RkmCS1SUz[mL]\_w ®Rzab [myvUhLOU"\lkRT_kON1R`dnd\l^a`U"L]\_P3ya[H¬RQRTLSUR3km`tL.Uc« [ \lk\ena[OUhLOU@km[]\envP[.NVnN3[OU[myRT[g[myvU_Uz_[ RTnvu¢L]\_P3ya[g\enaiaRTL]\RTna[gSVUTR3km`tL.UxkgRTL.U+PQUznUzLRTe uFa\ ]UhLOUhna[T·ª[]yUz\eLfuFa\ ]UhLOUhnvw@U¡\lkV^c`%RTnc[]\e¶vU@u Zc[]yU >
(129) " udUz¶dnvU@u!Za· Q "76#$ <tH "76#$ < ) Q "76#$ < «ÊÁ#yUjP3L.N3`dsV\lkwTRT_Uxu`tnd\SNCuF`tRTL\[myvUSVNFuC`dlU»\lko\_utUhna[m\[Å1UhiaUzLmC®yvUhLOUQb ®yd\lw.ySVUTRTnvk[my%RT[lUz_[VRTnuL]\_P3ya[1SVUTR3km`tL.Uxk1RTL.U¡Ux^a`RTÉ« E¿w@N3S1s%R3wh[1P3LON3`dsÆ\_k1RT®Rhtk `dnt\eSVNCuF`d6RTLxbZd`d[gN3ntef_NCwTRTwxN3S1sR3wz[P3L.N3`tskHwTRTn¢yRhiaUuFa\ ]UhLOUhna[H_Uz_["RTnu¡Lm\lP3ya[ ¬RQRTL SVUTR3km`tL.Uxkx%« ;tN3L»\nkm[hRTnwxUQbFlUhl[RTnvuL]\_P3ya[ ¬RQRTL»SVUR3km`dLOU@kjRTL.U\ludUznc[]\_wRTN3un g98 p bFkm\nwxU[myU ¤Q¥)LON3[RT[]\_N3n1P3LON3`ds+\lkow@N3S1s%R3wh[TbcRTnu[]yU¤Q¥)L]\_P3\luSVN3[m\lN3nP3LON3`ds+\lk=`dnt\eSVNCuF`d6RTL£RT[myN3`vP3y [myvUP3L.N3`dsV\lkN3nd_NCwRTewxN3S1sR3wz[uF`U[ON []yU\na[mL.NCuF`vwh[]\_N3n¢N3[mLRTnvkm6RT[m\lN3nk Ë6k.UxU#ZUz_Nx®HÌ« Á#yvU"lUhl[HRTnuL]\_P3ya[\naiaRTLm\6RTna[ SVUR3km`dLOU@kwTRTn¡ZUgPQUznUzLRTe¢w@N3S1sd`t[.Uxu_LON3S¦[]yURT`dÄ L.UzLmÈ ORTL][RTnUx^a`RT[m\lN3nkË RT6n :Q 6Ìb=Zd`d[RiaUhL]\ena[.UzL.Uxkm[]\envP¢[]yUxN3L.UzSRTelN@® kUR3kmªw@N3S1sd`tÄ [RT[]\_N3n°\en°[myU1wR3k.U1N3R " L.UzsdLOU@k.Uzna[RT[]\_N3n=·R3k.km`tSU[]yRT[ [myUVudUz¶dnt\e[]\_N3n udN3SfRT\en N3HR¡w.yRTL][VRTeSVNQkm[ wxN@iaUzL.k[]yUP3LON3`ds RTnu°[myRT[+[]yU aR3w@N3Zt\RTnN3[myUV_Uz_[ [mLhRTnkm6RT[.UfN3 [myvU\ludUzna[m\[Å 6#$ < Uz±C\_km[OkgRTnu\_kHwxN3nc[]\ena`vN3`k1RTSNQk][HUhiaUzLmC®yUzL.Uc«Á#yUzn[myU\naiaRTLm\6RTna[ SVUTR3km`tL.UgwTRTnfZU ®Lm\[m[.Uzn°ËDk.U@U RTsdsUznuC\e±¤CF« E «TÌ· $ ®\e[]y 6#$ <iH 6#$ < ËDWaÌ Q "76#$ <iH W Q 6#$ < W ,. . ,. % & U +23. U. U. STSVUXW>Y[ZY\. . >U U ? "UI U )*. Q*1"#*L(N +0* 9"/@" M ::T!/"$& MU. . U. . U B(N) * . IM%$&*- * $1D 35G+". . "!$#. "!$& -$& *4)( *9 G) *9"#*.
(130) @W. I,
(131) #
(132) ' #. ®yUzL.UYW7W H W 0214316$ < W «Á#yU Lm\lP3yc[]ÈD\enaiaRTL]\RTna[ SUR3km`tL.UwRTnZUudUzLm\iaUxu¢\n[myvU+kRTSVU"®Rh `km\nP+[]yU aR3wxN3Zd\6RTn N3=[myvU"L]\_P3ya[[mLhRTnkm6RT[.U N3o[myvU \ludUzna[m\[ÅabÊRTnvu[myvU"SVNCuF`dlU\_kj[mya`kx· W #6 $ < W "76#$ <iH W 6 $ < W "76#$. En§\na[.UzL.Uxkm[m\nP¡stL.N3sUzLm[Å°N3»[]yU+SVNFuC`dlU\_kH[my%RT[. > "76#$ > « Rkm\nP[]yd\lk .k w.yUzSVUQbT®jU»wRTn+kmyvN@®[]yRT[[myvU»`tnd\N3LmS SVUTR3k]`dL.UN3LÃL.N3[RT[]\_N3nv< kH `km\nP[myv< U»LON3[RT[m\lN3n+iaUxwh[ON3L L.UzsdLOU@k.Uzna[RT[]\_N3n\lk h 6 E < ËÅQÌ Q "76 <TH[Q "76 <iH Q h ®yUzL.U H «+Á#yU\naiaRTLm\6RTna[SVUTR3k]`dL.UN3n§L]\_P3\lu[]LRTnvkmN3L]SRT[]\_N3nvk\lkxb%®\[my°N3`dLgL.UzsdL.UzÄ k.Uznc[hRT[m\lN3n $ H 6 8 ' < b h 6 E < ËÅQÌ Q "t6#$ <iH[Q "t6 $ <TH Q )Q ' h Y#N3[RT[]\_N3nvkgRTnuL]\_P3\lu[mLhRTnkm6N3LmSfRT[m\lN3nkgRTLOU []yc`vk`dnd\SVNFuC`d6RTLx« =i >=. 1(=)( ="!( ! @ )(!f"Y)(f; *+0". ²&U£kRz®&\nk.Uxwh[]\_N3n}C« WjyN@®[ON\_utUhna[]\el[myvU³yvN3SVNQPQUhnvU@N3`vk=SfRTnd\N3lu ` ®\e[]y[myvU»^a`N3[]\_Uzna[ kmsR3wxU " E ª«#²&U wTRTn¡¶tnuÊb%[myRTnt´dk[ON[]yU+RTZNxiaUk.Uxwh[]\_N3n=bt[myvUVËllUz_[Ì\naiaRTLm\6RTna[ SVUR3km`dLOU@k Q "{RTnu Q N3n "{RTnvu ªbRTnu®Lm\[.U Q " H Q ` ) Q ®yUzL.U Q ` \lkRSVUTR3km`tL.U N3n&[]yU1SRTnt\e6N3_u ` ËDN3L[]yUV^c`vN3[m\lUhna[+kms%R3w@U " Ì« RTna[RTlNP3\eiaUxk"\n RTn :Q »kOUhiaUzLRT N3L]Sk£N3ÃR"nUxw@Uxk.kRTL]VRTnuVkm`d¯1wz\lUhna[jw@N3nvuF\[m\lN3nN3E L Q ` [ONZUHRTnV\enaiaRTL]\RTna[#SVUR3km`dLOUgËl\É« UQ« Q ` 6> :=<!HCQ ` 6 :=< Ì« nU N3o[myvUhS wRTn¡ZUk][RT[.UxuR3k#6N3elN@®kË \lkRTnUz_UzSVUhna[N3Ã[myU SfRTnd\N3ltu `Ìh· 6 < @ 8 (Ë :QÌ H 7
(133) Á#yt\_kgSURTnkH[my%RT[[myvU+SUR3km`tL.U1N3»[]yU1\e nt¶dnt \e[OU@km\Sf RT ia N3e`tSU+UzlUhSVUznc[RT[[]yU1N3Lm\lP3\n L.UzSfRT\envk`dnw.y%RTnPQUxuÇ`tnudUzLfRTna[mLRTnvkmN3L]SfRT[m\lN3nÇ[]yRT[1´aU@Uzs[myvU¡N3Lm\lP3\n `tnw.y%RTnPQUxu« [myt\_k w@N3nvuF\[m\lN3n\_kHnN3[kRT[m\lkm¶vU@uÊb[]yUzn&[myvUhLOU\lkHnN¡\nciFRTLm\6RTnc[ SVUTR3km`tL.U1N3nª[myU1SfRTnd\N3lub N3[myvUhL]®\_kOU®jU+wRTnwxN3Sst`d[OU\[Ël®\[my)RS1\ent\eSfRToLOUhstL.Uxk.Uznc[hRT[m\lN3nN3#[]yU+SfRTnd\N3luÌH\en)R ®Rzkm\S1\e6RTLg[.N®yRT[®jUVuF\luN3L[]yU¡P3LON3`ds« Ek.km`tSVU[]yRT[1[myvUutUh¶tnd\[m\lN3nÇutN3SfRT\en)N3 Rw.y%RTLm[+RTSVNQkm[HwxN@iaUzL.kH[myU+SfRTnd\N3luªRTnu[my%RT["[]yU aR3w@N3Zt\RTn°N3£[myU[]LRTnvkmRT[]\_N3n)N3[myU N3Lm\lP3\en ,6#$ < Uh±C\_k][.kjRTnu\lk£w@N3na[m\na`N3`vkHRTeSVNQkm[jUhiaUzLmC®yvUhLOUQ«Á#yUzn1[myUH\nciFRTLm\6RTnc[jSVUTR3km`tL.U \_k ®\e[]y ,6#$ <!H 6#$ < RTnvu $ @ : ËÅ~QÌ Q ` 6 :=<iH W,Q26#$ : < W . . . . ,. . ,. . . . . . .
(134) . S .
(135) T.
(136)
(137)
(138)
(139)
(140) !"$#% &'(
(141) *)+" , . =i. I2=$=*qf"1 #&/, ,0*P ) =*"1 32 @ Ek.km`tSUj[myRT[ : \lk£R `tnd\N3LmS LhRTnutN3S URT[m`tL.UH\en1[myvU¶dLOkm[»\SfR3PQUgË6w.y%RTLR3wz[.UzLm\lµ@UxuZaVRgk.Uh[ . N3sNQk.km\ZdlUURT[m`tL.Uxk Ìh«"²Çy%RT[ \lk[myvUsdL.N3Z%RTZd\e\[Å[myRT[g[myt\_kHURT[m`tL.U+ZU+R3wxw@Uzsd[OU@uªR3k R SfRT[.w.y¡®\[myfURT[m`tL.U V. \n¡[myvUk.Uxw@N3nvu\SfR3PQUQbF`dnvudUzLgRP3\eiaUzn¡P3lN3ZRTM[mLhRTnkm6N3LmSfRT[m\lN3n$§¾ ®#Uw.y%RTLR3wz[.UzLm\lµ@U[]yUsNQk.k]\eZt_UgSRT[Ow.yUxkN3L ¡ZaªRTn¢¼ÉUhL]L.N3LgiaN3e`tSVUh½ 6 < RTL.N3`dnvu bd®jU"wRTn®L]\e[OU []yd\lksdLON3ZRTZd\\e[ÅR3k#[]yU w@N3nvuF\[m\lN3nRT=stL.N3Z%RTZd\e\[Å . 6#$ : <TH . 6#$ : <TH. . 6G6#$ =: <0@ 6 < W u : @. <. 6 6#$ . <
(142) Q ` 6 =: < H 6. < ! Q ` 6 :=< . . 6 <G<. ®yUzL.U 6
(143) < \lk[myvU1¼ºiaN3`dSVUh½1N3[myUf! k.Uz[
Documents relatifs
Mais elle y occupait une place modeste : il faudra la liberté et le goût de la transgression du roman en langue vulgaire pour que la situation soit renversée :
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
Chez l’Homme, les segments de gène V H ont été classés en sept familles (la famille 7 n’est pas représentée ici car aucun segment fonctionnel n’y a été décrit) qui ont
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la