Smooth Surface Reconstruction via Natural Neighbour Interpolation of Distance Functions
32
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Smooth Surface Reconstruction via Natural Neighbour Interpolation of Distance Functions Jean-Daniel Boissonnat — Frédéric Cazals. N° 3985 Aout 2000. ISSN 0249-6399. ISRN INRIA/RR--3985--FR+ENG. THÈME 2. apport de recherche.
(3)
(4)
(5)
(6) "! #%$& '
(7) ()$*+ ,.-/ '
(8) 0
(9) 123( #45768 # 3'9&:; < =?>A@?BCEDF@?B GH>AIKJ.LMGHNONPLMB BQ@SRUT VQWOXZY XAWPG\[/]^@?_A@?I\N `acbedgf'h'ikj^lem nofpoqUrsnotenofep feutwvApotex p<yEz?d'{ qUp|no}Sxcf ~ qAEfeu~EnoyEdgf 3vA qUEu f^ ft acfe t#acf8m sss)iqUx u3hsss;ihsFvArfy. /9wZ f fy#femSu)vAmvAp|rqUEn|uEa du q ftqUmcyEuEExcteuyEdgqqUuEayEx ¡ ¢vUtfy2qA vAE{ n|uE#vAEz u qU qUpoqUrsz£ ¤ qUd¥x mcqUErSvAm noy f¦y#vAd§ pof¨ qUn|mSu ygvAmc©mcqUEd2vApoywª£`acf¨dgfeuEacq?«xcy#fyFmvAuEx #vAp mcfen|rsa{ qUx n|mu feE qUpHvAuEnoqUm ¬®qUE¯My°n|mgvAmSzFMn|dgfemcyEnoqUm2vAmc§vAp|poqw5yu q^ fwvAp n|uEa§mcqUmFx m n± ²qUEd yPvAd§ pofywª£`acf ftqUmcyEuEExcteu f¦yEx ¡ ¢vUtf¨noygv³y dgqqUuEa´d2vAm n± ²qUpo´vUy yEn|m r7uEa qUx rsaµvAp|puEacf yPvAd§ pof3 qUn|mSu y¶ª`a noyyEx ¡ ²vUtf.noy·n|d§ p|noten|uEp|z¨ fe fy femSu f³vUy·uEacf.¸wfe qA¹ºy feu5qA y#qUdgf3cy#fexc qA¹ Mnoy u#vAmctf) ¤x mcteuEnoqUm ª¼»ºu¨twvAmµ{ f)dgfyEacfµy#q½vUy2u q«y#vAuEnoy¡ ¤z´v£xcy fe¡¹º fO¾cmcffeE qU2{ qUx mcQª ¿À? feEn|dgfemSu#vAp fyEx p|u yvA f fy femu f) ²qU5yEx ¡ ¢vUtfyn|m)Á+ ª ÃÄÅ Æ Ç È ZÉ9 Ê qUd§ x u#vAuEnoqUmvAp5j^fqUdgfeuEEz¬9Ë+qU qUmcqUn®MnHvArs#vAdgyw¬°Ì^vAuEx #vAp®Ì.fen|rsaS{ qU »ÍmM¹ u feE qUpHvAuEnoqUm ¬Îx ¡ ¢vUtfftqUmcy uEExcteuEnoqUm ª. Ï ÐAÑÓÒQÔ Õ#Ö¢×3ÐAØPÒ ÙsÚ¡Ú¡Û3ÜUØ#ֲݢÑÞØ#ßÞßáà3Ò²âAÜZÜsÕPֲݢÚEãÙwà5Ý¢ÐZÚä9åMæ\ç°è¶ÏÜZÖ¢ÕOé#ÖºØPêëÍåUØOìÍÝ¢Õ#Ö²à.Õ#í Ý¢ÐAÚ9íîâZÝ¢â¶Ö¢Úë#ï. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone : 04 92 38 77 77 - International : +33 4 92 38 77 77 — Fax : 04 92 38 77 65 - International : +33 4 92 38 77 65.
(10) . . 9
(11) # ;
(12) #1;5
(13) 0
(14) 12(# # $*
(15) +(#( : '< #'¼6& '9. . p|noy# y f y
(16) f¨ u qU qUpoqU rsnom¼fy§ }S lxcy fefepomtqUu fmc}x xcmcffydg leuEvAacEq?uEn| Ff f/fe EdgqUn|femSuEu u#yFvAmmcu³qUm´ fyEuEEfxctteqUuEmcx yE uElEy§x fen| u§f½ ffy ymcyEqUx E¡d2 ¢vUvAtpoffyy pHv yEx ¡ ²vUtf¨fem´tfy qUn|mSu y¶ª vdgleuEacq? f¨x uEn|p|noy f¨p n|mSu feE qUpHvAuEnoqUm fyqUnoy n|mcy mvAuEx fepoy¶¬ ³ yÓ vA p|no}Sxcf+fem u qUx u fy<Mn|dgfemcyEnoqUmcy9feu mcf+y x qsy f+vUy<}xcfpált avAmuEn|p|poqUm mvArfy qUn|u x m n± ²qUEdgfsª Ê v³feuEyEu x f®¡yE ¢x vU¡t ¢f¨vUt fKftfqUyEu9mcyE uEqUEm x mcn|u lffKfy yEqUu;xcy<x ¤mcqUfEdgsvAfKEn|nod§leu l¨p|nop|tenon|y u y f®f2tn|qUmSd§u fedgE f®qUpopHfvAmSugvUy poyPfvAy;r f+qUn|vAmS<u yF¸wlefe uFq.pofy x mcmcf+qUEcd2y#fevAxcpof y¶q ª ²qUmcteuEnoqUmMnoyEu#vAmctfsª+¿+p|pof fex ue uE fvA q?t aclf' pHv; ltenoy noqUm fed2vAmc lfvAx mcfyEx ¡ ¢vUtf qUp|zlMEno}xcfsª ^fy lyEx p|u#vAu yfOÀM leEn|dgfemSu#vAxMÀy qUmSu ly femSu ly.yEx 5 fy5yEx ¡ ¢vUtfy5 f^Á  ª È w Æ jlqUdgleuEEnof7vAp|rqUEn|uEa d§no}xcfs¬!3 nHvArs#vAd§dgfy³ f³Ë+qU qUmcq#" ¬.»ºmu feE qUpHvAuEnoqUm ¬ Ë+qUnoy n|mcy5Ì.vAuEx fepoy¶¬cftqUmcyEuEExcteuEnoqUm f Îx ¡ ²vUtfy¶ª.
(17) .
(18)
(19) ! ". . 0
(20) F '< 3 #. ·f tqUmcyEno fe°uEacf® qU{ pofed qA c ftqUmcy uEExcteuEn|m ryEx ¡ ²vUtfy%$ n¢ªáfsª'&)(+*,"-²¹¢d2vAm n± ²qUpo y+qA Á/. 0 ¤ qUd vgyEvA y fy feu5qA x mcqUErSvAm noy f³ qUn|mu ya not#a vA ff}x n| fn|uEamcqUEd2vAp9Mn| fteuEnoqUmcywª`a noy qU{ pofed4vAEnoy fy'n|m svAEnoqUxcy'tqUmSu fOÀMu y;yExct a¦vUy'tqUd§ x u fe;rs#vA a notyw¬9 f fe y f2fem rsn|mcffeEn|m rc¬ n|d2vArf q?tfy yEn|m rc¬d2vAuEacfed2vAuEnotyw¬3t acfed§noyEuEEzvAmcpofwvAEm n|m r©uEacfqUEzª »Ím x u2d2vztqUdgf ¤ qUd v svAEnofeuºzqA 5y qUx tf2 y 1pHvUy#fe#vAm rf2y twvAm mcfe y¶¬<yEu fe fqA¹ ?noyEnoqUm 4¬ 3"5 n|d2vArf6 y $¤yExct a©vUy y#fenoyEd§notcvAu#v'qUKdgfMnotwvApn|d2vArf y 0O¬?qU®d2vAuEacfed2vAuEnotwvApdgq? fepo7y $¤yExct avUyKn|d§ p|noten|uyEx ¡ ¢vUtf8y 0Oª jfqUdgfeuEEnotdgq fep tqUd§ fy yEnoqUm noy vAmcqUuEacfe vA p|notwvAuEnoqUmvA fwv´acfe f½n|mSu feE qUpHvAuEnoqUm qA y x ¡ ²vUtfyg qUd Mnoy#te feu fy#vAd§ pofy¨tqUx po¦¾cmcµvA p|notwvAuEnoqUmcywª `acf³dgqsyEugn|d§ qUEu#vAmSutwvUy f no9y (;:<3F{ x u.vA p|notwvAuEnoqUmcytwvAm{ f. ¤qUx mc) ¤qU5qUuEacfe svAp|xcfy5qA= (cª Îx ¡ ¢vUtf ftqUmcyEuEExcteuEnoqUm avUyg ftfen f tqUmcyEno fe#vA{ pof³vAuEu femuEnoqUm n|m¦uEacfvUyEuwª©`acfd2vAn|m noy#yExcfy·vA f3u q; fwvApn|uEayEx ¡ ¢vUtfy·qA vAE{ n|uE#vAEz/u qU qUpoqUrsz¬?u qFvAp|poqw mcqUmM¹¢x m n± ²qUEdyPvAd§ p|n|m r i ²fwvAuEx fepofy yvA fwvUy.mcff ²fe®fey#vAd§ pofy¶¬ vAmc u qg q?Mxctf;dgq fepoy.n|uEa q svA{ pof;rsxvA¡¹ vAmu ffyw¬ fsª rcª;yEdgq?qUuEad2vAm n± ¤qUpo yuEavAu'vUttex #vAu fep|zvA qÀMn|d2vAu fguEacf§vUteuExvApKy x ¡ ²vUtfsª f twvAm MnoyEuEn|m rsx noyEa) ²qUx d2vAn|m vA qvUt acfy¶ª `ac?f >
(21) 8 /8@A@
(22) A noy®n|mcyE n| f2{SzgMCn BQfe femSuEnHvAp rfqUdgfeuEEzª q?twvAp|p|z¬uEacf3yEx ¡ ¢vUtf5noyKtqUmcy no?¹ fe f¨vUy+uEacfrs#vA a/qA <v^ ¤x mcteuEnoqUm ª`a noy+ ¤x mcteuEnoqUm2noyKuEacfem¨vA qwÀ?n|d2vAu f¨{Sz§uEEnHvAm rsx pHvAuEn|m r n|m½v¨dgq n|m r qA¡fteuEnoqUm½ pHvAmcE f DÓG FKqUxcyEn|m r)dgq n|m rpofwvUy u¡¹ºy }SxvA f§ x mcteuEnoqUm«vA qwÀ?n|d2vZ¹ uEnoqUmu ft#a m no}Sxcf; y DÓhsGh FºªKÎxct a)dgfeuEacq? yvA f.xcyExvAp|p|zg ¢vUyEu{ x uMCn H2tex p|u5u q;d2vA¯f^ qU{ xcyEu5vAmc rfemcfe#vAp¢ªK¿+yE ftenHvAp|p|z¬cavAmcMp|n|m r2yEvA y#fvAmc)mcqUmM¹¢x m n± ¤qUEd cvAu#v§y feu y5y#ffedgy5qUx uqA fwvUt#a ª `acf I"J d2vAn|m§vA qvUt a§tqUmcyEnoyEu y9qA tqUmcyEno feEn|m r^uEacf·yEx ¡ ²vUtfvUy°vAm;fepHvUyEuEnotKdgfed'{ #vAmcfsª `acf·yEu#vAEuEn|m r^ qUn|mSu°noy9vpHvAErf·dgfed'{ #vAmcffemctepoqsyEn|m r^uEacf·cvAu#vy#feuwª fO ²qUEd2vAuEnoqUmF qtfy#y noy®uEacfemvA p|nof¨u q'd§n|m n|d§noy f.uEacf.femcfeErsz2 qwmu qFvpoq?twvAp d§n|m n|d'x dªK»º uEacf3n|m n|uEnHvAp rsxcfy#y noyy x H2tenofemSuEp|z§tepoqsy fu q.uEacfd§n|m n|d§noy few¬uEacfy#fdgfeuEacq yKvA f· ¢vUyEu+vAmcF qU{ xcyEuKvArSvAn|mcyEumcqUnoy#fsª `acf UvAEnHvAuEnoqUmvAppof fepy feu< ¤qUEd x pHvAuEnoqUm avUy< q f u q5{ f feEz f BQfteuEn Kf DÓh L ¬¶ sG FºNª M.qw®f few¬ y xct a½dgfeuEacq? y;twvAm«qUm p|z7rsxvA#vAmSu fftqUm feErfemctf¨u q¶·vA y§v)poq?twvApKd§n|m n|d x d uEavAu d2vz { fMCn BQfe femSu ¤ qUd uEacfuEExcfyEx ¡ ¢vUtfsª `acf !
(23) OJ d2vAn|m´vA qvUt#a«noy;tqUd'{ n|mvAu qUEnHvAp¢ª »Íu'tqUmcyEnoyEu y n|m«tqUmcyEuEExcteuEn|m rv)rfqUdgfeuEEnot cvAu#v yEuEExcteuEx fyExct#a¦vUy uEacf ^fepHvAx mvz½uEEnHvAm rsx pHvAuEnoqUm qA 3uEacf2 qUn|mSu§y feu§vAmc½u q fOÀMuE#vUteu ¤ qUd uEa noy+y uEExcteuEx f3vy feu®qA ¢vUtfeu y+uEavAu®vA qwÀ?n|d2vAu f3uEacf5yEx ¡ ¢vUtfsª°¿KvAEp|zF fyEx p|u y+n|m2uEavAu Mn| fteuEnoqUm7vA fuEacQ f PQ¹ºyEavA fyqA +¿+ fepoy { Ex m mcfe.feu3vAp¢Rª DTS L +¬ SUVF9vAmc)uEacf'y#tex p| uEn|m r2dgfeuEacq? qAX WqUnoy y qUm mvA2 u DÓV Fºª;ftfemuEp|z¬<3dgfemSu#v)feu'vAp¢Y ª DTSFav f§ qU qsy f£v¨mcfe Ë+qU qUmcqUn±¹¢{vUy f y x ¡ ²vUtf ftqUmcyEuEExcteuEnoqUm vAp|rqUEn|uEa d uEavAug fe¡ ²qUEdgy§®fep|p3n|m¦uº®q©vAmc¦uEa ffMn|dgfemcyEnoqUmcy¶ª. . . . . . . . . . . . . . . . çç ÛZ [ \8]^. . . .
(24) "! I" / . %yEn|d§n|pHvA2no fwvavUygn|mc fe femc femSuEp|zµ{ ffem qU qsy fµ{Sz fep|¯fed§nQDÓhs VFºª¼În|mctf³f H2tenofemSu vAmc qU{ xcyEu)tq? fyvA f mcqw v svAn|pHvA{ pof7u q´tqUd§ x u f7Ë+qU qUmcqUnMnHvArs#vAdgyvAmc ^fepHvAx mvz uEEnHvAm rsx pHvAuEnoqUmcy DTS
(25) Fº¬cuEacfy fdgfeuEacq? y.vA f feEz¨ ²vUyEuwªÌ.qUuEnotfacq¶®f fe.uEavAuuEacf vAp|rqUEn|uEa d qA +3dgfemSu#v/feu.vAp¢ª· f}x n| fyu q¨vU ½y#qA¹ºtwvAp|pof qUpofyu q§uEacf'n|m n|uEnHvAp9yPvAd§ pof qUn|mSu y^vAmc u qtqUmcy uEExcteu§uEacfË+qU qUmcqUnMnHvArs#vAd qA v y#feugqA 3 qUn|mSu y§uEavAu§noy2 uEn|dgfygvUyg{ n|r½vUyFuEacf n|m n|uEnHvApcvAu#vMª»Ím uº®q)Mn|dgfemcy noqUmcyw¬ uEacfqU feuEnotwvAp fyEx p|u y^qUm7uEacf;}xvAp|n|uºz qA KuEacfy f dgfeuEacq y twvAmµ{ f¨ ²qUx mc´n|m uEacf)·qUE¯´qA uEu#vAp|n D "Fº'¬ WfeEmvA Mn|m n.vAmc WvZ vZY D UGFºª¦`acf³vAp|rqUEn|uEa d qA 3dgfemSu#vfeu;vAp¢E ª DTS FKnoyuEacfF¾c y u'qUmcf§uEavAuavUy q UvA{ pof2rsxvA#vAmSu ffy n|m« )Mn|dgfemcyEnoqUmcy¶ª `acfy#f³uEacfqU feuEnotwvAp fyEx p|u y¨acqUpoacfem uEacf y#vAd§ p|n|m r´noyyE x H2tenofemuEp|z femcy fsª M.qw®f few¬ uEacfy#fg{ qUx mc y;vA f/#vA fep|zdgfeu n|m« #vUteuEnotwvApvA p|notwvAuEnoqUmcygvAmcQ¬vAp|uEacqUx rsa´uEacf/vAp|rqUEn|uEa d vA fwvA yu q§ q no f fwvUy qUmvA{ pof fyEx p|u y5x mc fe5pofy y fyEuEEnoteuEn f y#vAd§ p|n|m r2tqUmcMn|uEnoqUmcyw¬cuEacf ftqUmcy uEExcteu f©y x ¡ ²vUtf2d2vz£mcqUu;{ f¨v)d2vAm n± ²qUpoQ¬°d2vz£av f)vU Mn|uEnoqUmvAp·acqUpofyFvAmc«d2vz mcqUuvUy#yuEa qUx rsa vAp|pQuEacfyPvAd§ pof qUn|mu y5acfemuEacfyPvAd§ pofnoymcqUu femcy ffemcqUx rsa ª `acf TV d2vZEqUKvA qvUt a2tqUmcy noyEu y°n|mFxcyEn|m r^uEacfn|m x u qUn|mu y°u q. fO¾cmcf5v.yEn|rsmcf§Mnoy u#vAmctf ¤x mcteuEnoqUm¦vAmc«u q tqUd§ x u f¨n|u y'¸wfe qA¹ºy#feuwª `acf¨yEx ¡ ¢vUtf2noy;uEacfe fO ²qU f¨ ferSvA f´vUyFv³pof fep y x ¡ ²vUtfqA cvAmn|d§ p|noten|u ¤x mcteuEnoqUm' fO¾cmcfq fe<uEacf+femuEn| f+fed'{ f Mn|m r3y vUtfsª°Îxct#adgfeuEacq y av f^{ ffemvA p|nofu qFuEacf^yEx ¡ ¢vUtf. ftqUmcyEuEExcteuEnoqUm qU{ pofed {S6 z M.qU f^feu5vAp¢%ª DÓ h SFº ¬ WvZEvZ feu'vAp¢Y ª DÓM+¬ LGFº¬<vAmc Ê x Epofy y vAmc f qwz DTSwV Fºª;`acfgvAp|rqUEn|uEa d qU qsy#f7{Sz M3qU f§feuvAp¢ª DÓ h S FQnoy fepHvAu fu qFqUx ywª»Íu·fy uEn|d2vAu fyv u#vAm rfemSu pHvAmcfvAuuEacf^y#vAd§ pof^ qUn|mu yxcyEn|m rFuEac f mcfwvA fy u9mcfen|rsa{ qUx y+vAmc;xcy fy9uEacfMnoyEu#vAmctf·u q.uEacf· pHvAmcfvUy9uEacfyEn|rsmcfFMnoyEu#vAmctf® ¤x mcteuEnoqUm ª `acf^¸wfe qA¹ºy#feu5qA uEa noy ¤x mcteuEnoqUm)noyuEacfemy#vAd§ pofvAursEno qUn|mSu yvAmc qUp|zrqUmvAp|n|¸wfxcy n|m r uEacfd2vA t#a n|m r tex { fvAp|rqUEn|uEa dª`acfvAp|rqUEn|uEa d8qA Ê x Epofy yKvAmc f qwz DTSwV Fcnoy+y n|d§n|pHvAKvAmc uEx mcf'u q#vAm rfKn|d2vArfywª9`acfy f·vAp|rqUEn|uEa dgy9 f}x n| f®; v $²vAu<pofwvUyEupoqtwvAp|p|z 0 x m n± ²qUEdyPvAd§ p|n|m r y n|mctf;qUuEacfeEnoy#f§uEac f mcfwvA fyEumcfen|rsaS{ qUx yd2vz ®fep|pK{ f§vAp|dgqsyEutqUp|p|n|mcfwvAw¬ fy x p|uEn|m rn|m vg q?qUfyEuEn|d2vAuEnoqUm7qA uEacfu#vAm rfemu. pHvAmcfsª`acf;vAp|rqUEn|uEa d qA? WvZ vZ5feu.vAp¢ª DÓG F9tqUd§ x u fy v/MnoyEu#vAmctf; ¤x mcteuEnoqUm qUd%uEac f PQ¹ºy avA fFqA KuEacf; qUn|mSu ywª»Ím7qU feu q2rsxvA#vAmu ff§uEavAu^uEacf P ¹ºyEavA fgavUy'uEacf2y#vAdgf§u qU qUpoqUrsz½vUyuEacf¨vUteuExvAp®yEx ¡ ¢vUtfs¬uEacf2y#vAd§ p|n|m r d'xcyEu { fg femcy#f vAmcx m n± ¤qUEdª+Ì.qFuEacfqU feuEnotwvAp9vAmvAp|zMyEnoy5qA °uEacfy fvAp|rqUEn|uEa dgy3avUy{ ffem qUmcfzfeuwª x dgfeuEacq tqUd'{ n|mcfy3Ë+qU qUmcqUn9MnHvArs#vAdgy^vAmc)n|d§ p|noten|u5 ¤x mcteuEnoqUmcywª»Íu®qUE¯Myn|m vAmz)Mn±¹ dgfemcy noqUm/vAmc§noy+yEx n|u#vA{ pof ¤qU+yEx ¡ ¢vUtfyKqA vAE{ n|uE#vAEzFu qU qUpoqUrszgvAmc§mcqUmM¹¢x m n± ²qUEd&yPvAd§ p|n|m rcª »Íu yd2vAn|m) ²fwvAuEx fy3vA fuEacf. ²qUp|poqwn|m rcª 9n| yEuw¬?n|uxcy fymvAuEx #vApQmcfen|rsa{ qUx n|mSu feE qUpHvAuEnoqUm DÓhsM¬chsG FºªÌ^vAuEx #vApQmcfen|rsaS{ qUx y3vA ffwvUyEn|p|z tqUd§ x u f³ ¤ qUd uEacfË+qU qUmcqUn°MnHvArs#vAd%qA °uEacf y#vAd§ pof qUn|mu ywª`acfez³vAp|poqwu q2 fwvApn|uEa mcqUm³x m n± ¤qUEd yPvAd§ pofyvAmc)u qF q?MxctfyEdgq?qUuEan|mSu feE qUpHvAuEnoqUmcywª. . . . . . . . . . . . . . æ9ç<æ¤ä.
(26) .
(27)
(28) ! ". ?Î ftqUmcQ¬uEacf5dgfeuEacq?¨Mn| fteuEp|z§ qMxctfyvyEdgq?qUuEa/y x ¡ ²vUtfn|uEacqUx utqUd§ x uEn|m r§vAm2n|mSu fe¡¹ dgfMnHvAu fF qUp|z?acfM#vApKvA qÀMn|d2vAuEnoqUm ¬vUy.n|unoy.xcyExvAp|p|z qUmcf DÓM¬QhsGFºª'`acf; ftqUmcyEuEExcteu f y x ¡ ²vUtf'noy.v2yEdgqqUuEa d2vAm n± ²qUpo³vUy y n|m r2uEa qUx rsa£vAp|p<uEacf;y#vAd§ pof qUn|mu yw¬ vAmc n|u y3mcqUEd2vAp vAuyExct#a½v/ qUn|mu.noy^uEacf;mcqUEd2vApuEacfF qUn|mSu^noyf}x n| f n|uEa ª;`acf;y x ¡ ²vUtf;noy^n|d§ p|noten|uEp|z fe fy#femSu f vUy5uEacf¸wfe qA¹ºy feuqA +v§yEn|rsmcfcy fexc qA¹ºMnoy u#vAmctf ¤x mcteuEnoqUm ª·Îxct a vF fe fy femSu#vZ¹ uEnoqUm7noy^vAuEuE#vUteuEn f; ¤qU^tqUd§ x uEn|m rVq BQy feu y^qU3{ qqUpofwvAmqU fe#vAuEnoqUmcyvAmc ²qU^ femc feEn|m r DÓV Fºª qUp|zacfM#vApvA qwÀ?n|d2vAuEnoqUm qA 9uEacfn|d§ p|noten|uyEx ¡ ¢vUtftwvAm vApoy qF{ f^ q ?no fQª `a n| Q¬5uEacfqU feuEnotwvAp.rsxvA#vAmu ffy)twvAm{ f³ feEn fµ ²qU2uEacf }SxvAp|n|uÍz qA uEacf³ ftqUmcyEuEExcteu f y x ¡ ²vUtfsª®¿°À?u femcy n fu fyEu yn|mÁ  yEacq¶uEavAun|u5 fe¡ ²qUEdgy5®fep|pn|m #vUteuEnotfs¬f fem³ ¤qU5y d2vAp|p yPvAd§ pofy feu ywª. . . . . .
(29) <feu { f.v tepoqsy f¨yEx {cy feuqA Á=.Facqsy f3{ qUx mccvAEz¦noyv yEdgq?qUuEa &)(R* ,"-²¹¢d2vAm n± ²qUpoQª <feu *{ f v/y feu3qA ½ qUn|mu y ) twvAp|pof "9@ K@ "! ¬qUm uEacf'{ qUx mccvAEz³qA 3ª3¿KvUt a qUn|mSu "3! noygf}x n| f´n|uEa uEacfx m n|ugmcqUEd2vAp /&# ! -'u q$& vAu%"! ¬®qUEnofemSu f u q¶·vA y2uEacf qUx u y no f5qA ¨ ª f5 femcqUu f'& &# ! -<uEacfaz feE pHvAmcf5vUy#yEn|m ruEa qUx rsa( ! vAmc§ feE femcMnotex pHvA u q/&# ! -#¬+vAmc&$') &# ! -^uEacf/avAp± 3yEvUtf/p|n|d§n|u f½{z*& &# ! -vAmc«qU qsyEn|u f/u q /&# ! -#ª `acf az fe¡¹¢ pHvAmcf{ noy#fteuEn|m r2uº·qg qUn|mSu y'7 + vAmc, ! noy3 femcqUu f.-0/21 35¡4 ¬ a n|pof6- /2) 1 374 fO ¤fe yu qguEacf avAp± ¹ºyEvUtf fep|n|d§n|u f{Sz8-0/21 354 vAmctqUmSu#vAn|m n|m r9+ ª :;=<?> @A"BC> @B >ED. . Î?fteuEnoqUmh§ q no fy.uEacf {vUyEnoty.qA +mvAuEx #vAp9n|mu feE qUpHvAuEnoqUm ª.»Íu y.vA p|notwvAuEnoqUm7u q2y x ¡ ²vUtf' fO¹ tqUmcy uEExcteuEnoqUm2u qUrfeuEacfe·n|uEa2uEacf5tqUE fyE qUmcMn|m r;uEacfqU feuEnotwvAprsxvA#vAmSu ffyvA f fy femSu f/n|m y#fteuEnoqUmcy® 'vAmc cªÎ?fteuEnoqUmcyvAmcY LvA f f qUu f2u quEacf3vAp|rqUEn|uEa d§not^vUyE fteu yw¬n|d§ pofedgfemM¹ u#vAuEnoqUm³noy yExcfyvAmc ftqUmcyEuEExcteuEnoqUmcy3 fyEx p|u ywª. çç ÛZ [ \8]^. .
(30) "! I" / L. $& '
(31) () + ,.-/ '
(32) #
(33) 12(# 3. @ >"
(34) ?
(35) @ . . ca fem£uEacf/cvAu#v qUn|mu y;vA fgmcqUm½x m n± ²qUEd§p|z7Mnoy uEEn|{ x u fQ¬9 fO¾cm n|m r mcfen|rsaS{ qUx En|m r qUn|mSu y noyvAm7noy y xcfsª'»Ím vAEuEnotex pHvAw¬<n|mqU feu q)tqUmcyEuEExcteu'v¨yEx ¡ ²vUtfs¬ ·fF®qUx pop|n|¯fFu q¨{ f§vA{ pof u qp|n|m ¯v)rsn fem½ qUn|mS( u +©u qy#vAd§ pof2 qUn|mu y'uEavAu;vA f2tepoqsy f§u 8 q +´vAmc©vAuuEacf2y#vAdgfguEn|dgf Mnoy uEEn|{ x u f7vAp|pvA qUx mc. +ªÎn|d§ pof; fO¾cm n|uEnoqUmcy^p|n|¯f qUn|mSu y.n|uEa n|m£vgtfeEu#vAn|mMnoyEu#vAmctfFqU gmcfwvA fyEu qUn|mSu y® ²vAn|p n|mrfemcfe#vAp u q'n|mcyEx f^yExct#av qU feEuºzª+3mcqUuEacfe5vA qvUt atqUmcyEnoy u y n|m ®fen|rsauEn|m ruEacf; qUn|mu y^ fe femcMn|m rqUm uEacfen|MnoyEu#vAmctf;u q +9ª M3q¶®f few¬QyExct#a ·fen|rsaSuEn|m r ¤x mcteuEnoqUmcyvA f'mcqUu.cvAu#v¨ fe femc femuvAmc uEacfe fO ²qU f;vApoy q2 ¢vAn|p<n|m7twvUy f'qA KyEvA y#f cvAu#vMª f fO ²fegu q7xcy fuEacfy qA¹ºtwvAp|pof¦mvAuEx #vAp3mcfen|rsaS{ qUx y2n|muE qMxctfµ{SzµÎn|{cy qUm DÓhsM¬KhsG Fºª f { Enof cz)q fe nofe y#qUdgf fO¾cm n|uEnoqUmcy3vAmc) qU feEuEnofywª `acf+mvAuEx #vApSmcfen|rsaS{ qUx y9qA v qUn|mSCu +;vA f® fO¾cmcf vUyQuEacfmcfen|rsa{ qUx y9qAE +'n|muEacf ^fepHvAx mvz uEEnHvAm rsx pHvAuEnoqUm©qA? +
(36) ª/¿+}Sx n svApofemSuEp|z¬9uEacf§mvAuEx #vApKmcfen|rsaS{ qUx y;vA f§uEacfg qUn|mu y'qA acqsy#f Ë+qU qUmcqUn+tfep|poyvA fFt#acqU fVq B©x qUm7n|mcy feEuEnoqUm£qA +9ª qU f ftenoy#fep|z¬Qpofe u 354·{ f uEacfË+qU qUmcqUn tfep|p qAE ! n|m2uEacf5Ë+qU qUmcqUn MnHvArs#vAdqA= vAmcgpofeu / { f5uEacfË+qU qUmcqUn tfep|p qA= + n|m³uEacfË+qU qUmcqUn°MnHvArs#vAd qA +ª·`acf'mvAuEx #vAp< fersnoqU m /21 354°noyuEacf qUEuEnoqUm qA 354 y u qUpofem³v·vwz){Sz +¬Mn¢ªáfs ª E/!" 354Eª f'vApoy qFav f # /21 354+:$ 374&% -;/2) 1 354 ªKÎ?ff 9n|rsx 2 f Ssª <fe u ' 354 & + -° femcqUu f3uEacf fe{ fy rsxcfdgfwvUyEx f.qA
(37) # /21 374 ivA fwvn|mMn|dgfemcyEnoqUm¨uº·q ¬ qUp|x dgf n|m¦Mn|dgfemcyEnoqUm¦uEa ffsª©Ì.qUu fuEavA( u # /21 354 :*)7vAmc+ ' 354& + - :*, n± ! noyFmcqUugv mvAuEx #vAp mcfen|rsa{ qUx .qA +9ª`acfmvAuEx #vAp<tq?qU Mn|mvAu f vUy y#qtenHvAu fu q ! noy fO¾cmcf³{Sz. . . . . . . . !. - 354& ++-4: .. . . ' 374& ++! ' 374& ++-. . `acfmvAuEx #vAp<tqqU Mn|mvAu fyav f'uEa ffn|d§ qUEu#vAmu5 qU feEuEnofy ÓD hAUM¬chs ¬chsGF?1. 354 & + -<noyKv^tqUmuEn|mSxcqUxcy® x mcteuEnoqUm/qA +9¬vAmc§noy+tqUmuEn|mSxcqUxcyEp|zgMnCBQfe femSuEnHvA{ pof.fOÀ tfe u f vAuuEacfcvAu#v§yEn|u fywª qU fq few¬. Ssª -. . /0'. 354 & ++-4:25 1 37! &46 3 ! - 5. . 3 * *98 : . . !. acfe f 1 ! &43 -vAmc: ! vA f fyE fteuEn fep|z§uEacf &)('* ,"-²¹ qUp|x dgf.vAmc2uEacftfemSuE qUno¨qA uEacf Ë+qU qUmcqUnQ ²vUtfeu3tqUd§dgqUmu q; &43 -·vAmc &438<60!O-#ª æ9ç<æ¤ä.
(38)
(39)
(40) ! " U. . hMª`acf - 354 & + -·vA fqA { qUx mc fyEx qUEun± C+ { fepoqUm ry5u qFuEacftqUm fOÀ)aSx p|p<qA gª qU f ftenoy fep|z¬ - 354& + - svAm noyEacfy)qUx u yEno fuEacf7x m noqUm qA ;uEacf{vAp|poyten| tex dgy teEn|{ n|m rµuEacf .fepHvAx mvwz)yEn|d§ p|notfy5n|mcteno femuu q ! ª Mª`acf - 354& ++- y#vAuEnoy¡ ¤z^vAm no femSuEn|uºz twvAp|pofuEacf T "
(41) J"! @
(42) 8@
(43) $ Ê ~ 0O¬Zy u#vAuEn|m r uEavAu +³noyvFtqUm fOÀtqUd'{ n|mvAuEnoqUm7qA 9n|u ymcfen|rsa{ qUx Q y 1. . . . . . - 354& + -" ! :. !. +
(44) . . .
(45). 9n|rsx f S1¿°ÀcvAd§ pof qA FvmvAuEx #vAp^ fersnoqUm n|m V5 ª `acf mvAuEx #vAp^mcfen|rsaS{ qUx yqA (+vA f. Uª`acf feEuEnotfyqA uEacfmvAuEx #vAp fersnoqUm . . . /21 3 vA f^ fe noteu f¨n|m¨rs fez/vAmc¨{ pHvUt ¯ ª . . ca fem +«p|nofy'qUx u yEno f§uEacf2tqUm fOÀ£aSx p|p®qA g¬' 354& ++-.noyx mS{ qUx mc f£n± ! noy'v feEu fOÀ£qA uEacf.tqUm fOÀ/aSx p|p¢ª+»Ím/qU feu q ¯ffe/uEacf ' 354& ++-°{ qUx mc fQ¬·fmcff¨u q { qUx mc/uEacf. qUd2vAn|m acfe f/®f2·vAmu;u q tqUd§ x u f2mvAuEx #vAptq?qU Mn|mvAu fywª`a noy;twvAm½{ f2 qUmcf¨}Sx n|u f/fwvUyEn|p|z7{Sz vU Mn|m r2 qUn|mu yqUm³v§yE x H2tenofemuEp|zpHvAEr f " J"! ª 3m f H2tenofemSu³vAp|rqUEn|uEa du q´tqUd§ x u f uEacf mvAuEx #vAptq?qU Mn|mvAu fyn|m 3"5 noy¨ fy femu f n|m Î?fteuEnoqUm Mª. . çç ÛZ [ \8]^.
(46) . "! I" / . @ >"
(47) ?
(48) @$ C> @ <?
(49) .y yEx dgfFuEavAu u qfwvUt aA ! noy vAuEu#vUt#acf©v)tqUmuEn|mSxcqUxcyEp|z«MnCB fe femuEnHvA{ pofg ¤x mcteuEnoqUm 354 ¤ qUd Á/.§u qFÁyPvAuEnoy¡ z?n|m r 354 &#"! -4:$,Mª f fO¾cmcf^uEacf^mvAuEx #vAp mcfen|rsaS{ qUx 5n|mSu feE qUpHvAuEnoqUm³qA 9uEacf 35+4 vUy - 35 )4 & + -354 & ++ - & + -4: $OS0 ! ²qU5y qUdgfvAE{ n|uE#vAEn|p|zyEd2vAp|p " ,Mª .yKvAp| fwvUMzF qUn|mSu f2qUx uKn|m2y fteuEnoqUm¨hMªTSs¬S®fxcy#fv^{ qUx mcMn|m r{ qwÀ£. u q{ qUx mc§uEacfmvAuEx #vAp tq?qU Mn|mvAu fy·qA vAmz§ qUn|muKn|mcyEno f ª°`acf3y feuKqA cvAu#v qUn|mSu y®tqUmcyEnoyEu y·qA QuEacf ! p|xcy·y qUdgf qUn|mSu y
(50) ! vU fqUm3 ª f^u#vA¯f 4 : , ²qUvAp|pQ qUn|mu y
(51) ! qUmuEacf^{ qUx mcMn|m r2{ qwÀ ª»ÍmuEacf y#f}Sxcfep¢¬ n|p|p femcqUu fuEacfx m noqUm³qA °uEacfy#vAd§ pof qUn|mSu y ! vAmc³qA 9uEacf
(52) ! ª qU3v;rsn fem8+ ¬+& ++ -·noyfwvUyEn|p|z)f UvAp|xvAu fqUmctfuEacf - 354 & ++ -+av f'{ ffemtqUd§ x u fQª 9. . È+È \ È. . ! " ! 6J"! 9
(53) ! T " J2!
(54) @ T 8 . 354 . ÈQÈ !§În|mctf uEacf - 53 4 vAmc uEacf" 354 vA f;tqUmuEn|mSxcqUxcy q feÁ . ¬# noy^tqUmSuEn|mxcqUxcy'qfeÁ . ª. qU fq few¬®fav f$ &# ! -N:%354&# ! -KyEn|mctf - 3!&A&# ! -/: ,Fn± ':* ( )·vAmc - 374&# ! -/: ,ª uE<n|femuxcqUxcxcyyE p|zfemcMqUnCuBQf fe {Sfez mSuE+ nHvA { pofF5f + fe. EzuEacf acfeÊ f;vAEfOu À fyEtnHfevA m7u.tvAqu5qUuE acMf'n|m vA! u ¬+f³ny3n|om³ytÁ qU. mSªuEn|Îmn|xcmcqUtxcf'yEuEp|zacf M-nCBQ35fe4K vAfemSf uEnHtvAqU{ mMpof ¹ vAuvAp|p
(55) +,- ( & vAmc®fav f . . 354 . - 354 . +0/ & ++ -4: ! - 37)4 & + - . 0+ / & + -21 ,31X- ! - 35 4 & ++- . +0/ & ++- 354& ++- acfem8+ 8 ! ¬46/ 5 & & ++- 8 45 / 7 & 4 &# ! -#¬ a not a yEacqw5y3uEavAu noytqUmuEn|mSxcqUxcyEp|zMnCBQfe femSuEnHvA{ pofsª 4 4 8 W·zuEacf·n|d§ p|noten|u9 x mcteuEnoqUmFuEacfqU fed¬9+: &<; -Qnoy°tqUmSuEn|mxcqUxcyEp|zFMnCB fe femuEnHvA{ pofn± =;noyv fersx pHvA svAp|xcf^a not a ¬{Sz³ÎMvA áyuEacfqU fed noyuEExcf^ ²qUvAp|dgqsyEu3vAp|p>; DTSSs¬ SwVFºª . . æ9ç<æ¤ä.
(56) .
(57)
(58) ! ".
(59) 5
(60) 3'c
(61) < . C2>"@ <?
(62) C
(63) > >
(64) . . »Ím§uEacf5tqUmu fOÀ?uKqA QyEx ¡ ¢vUtf ftqUmcyEuEExcteuEnoqUm ¬ UvAEnoqUxcy x mcteuEnoqUmcy®twvAmg{ fxcy#fF ¤qUuEacf 354 & + -#ª § f ¤qUp|poq¶ M.qU f2feu vAp¢ª DÓh S F·vAmc£xcy fguEacf/vGHgmcf§ ¤x mcteuEnoqUmcy 354& + -7: &# ! * ++-
(65) /&# ! -#¬ acfe f /&# ! -·noyuEacfx m n|umcqUEd2vAp<u q vAu ! ªK»Ím³qUuEacfe5·qU yw¬ 35: 4 & , -®noyuEacfaSz? feE pHvAmcf u#vAm rfemuu ( q µvAu ! ª uEacfet acqUnotfyyEacqUx po¨{ f qsy yEn|{ pof3{ x u®f^ q;mcqUu x yExcf.uEa noy®noy#yExcf acfe fsª f;uEacfem£ fO¾cmcfFuEacf;n|mSu feE qUpHvAuEn|m r³yEx ¡ ¢vUt f vUy.uEacfF¸wfe qy fe u : & , -3vAmc : & , -3vUy uEacf^n|mu feE qUpHvAuEn|m r/yEavA f / ª.ydgfemSuEnoqUmcf³n|m)uEacf3 f ?noqUxcy5y fteuEnoqUm ¬ noy5vAp|dgqsyEu5yEx fep|z v &)( * ,"-²¹¢d2vAm n± ¤qUpo)a not#anoytqUmSuEn|mxcqUxcyEp|zMCn BQfe femSuEnHvA{ pofsª qU fq few¬`acfqU fed L;yEacqw5y Y uEavAuw¬cacfemuEacfy#vAd§ p|n|m r2 femcyEn|uÍzn|mcte fwvUy fyw¬ uEacf M^vAxcy qUO B£MnoyEu#vAmctf{ feuº·ffem vAmc svAm noyEacfywª. . . . > @ >
(66) 7@ > @ > j^n fem¼v©y feuqA y#vAd§ pof qUn|mSu y g ¬3uEacf Ë+qU qUmcqUnMnHvArs#vAd qA (¥x m no}Sxcfep|z fO¾cmcfyuEacf ftqUmcy uEExcteu f©y x ¡ ²vUtf3 ª M.qw·f few¬uEa noy;yEx ¡ ²vUtf/noy n|d§ p|noten|uFvAmc©twvAm©qUm p|z½{ f2¯mcq¶m uEa qUx rsa©uEacf¨f UvAp|xvAuEnoqUm¦qA ©vAusvAEnoqUxcy qUn|mu y 9+ ª f/uEacfe fO ¤qU f/mcff½u q tqUd§ x u f)v Mnoy#te feu fFvA qwÀ?n|d2vAuEnoqUm£qA 3 ªÎn|mctf;uEacf ^fepHvAx mvz uEEnHvAm rsx pHvAuEnoqUm£qA avUy.u q2{ f;tqUmM¹ 9. . @ .
(67) . y uEExcteu fn|m³qU feu q§tqUd§ x u fuEacf^mvAuEx #vAp<tq?qU Mn|mvAu fyw¬ ·f'vApoy qFxcy f^n|uu qgvA qwÀ?n|d2vAu f. . ª`acfvU UvAmu#vArfy5q fev;yEu#vAmccvA qUp|zrqUmvAp|n|¸¶vAuEnoqUm³dgfeuEacqyExct#a³vUyd2vA t a n|m r2tex { f vA f¨uÍ®qA ²qUpoQª 9n| yEuw¬uEacfcvAu#v yEuEExcteuEx fnoyFpoq?twvAp|p|z«vUcvA u f´u q uEacfrfqUdgfeuEEz«qA i n|mcy u fwvU¨qA 9x m n± ¤qUEdªKÎ?ftqUmcQ¬cuEacf3n|mM ²qUEd2vAuEnoqUmqA uEacf^y#vAd§ pof. qUn|mSu y{ fen|m r§qUm noy® x p|p|z. . xcy#f/iµacfe fwvUy.v;d2vA t#a n|m r/tex { f ftqUd§ x u fyf feEz feEu fOÀ)qUx uE x uwª `acfMxvApMË+qU qUmcqUnfMrfqA v .fepHvAx mvwz uEEnHvAm rspof <noy9uEacfp|n|mcfy fersdgfemSu EqUn|m n|m ruEacftfemSu fe y qA uEacfgyE acfe fy ten| tex dgy teEn|{ n|m r uEacf§uº·qu feuE#vAacfM#v yEavAEn|m r eª ^fO¾cmcf2vË+qU qUmcqUn·fMrf vUy ! @ C"
(68) n± 9uEacfn|d§ p|noten|u ¤x mcteuEnoqUm )f svAp|xvAu fy5u qgv; qsyEn|uEn f UvAp|xcfvAuvAmfemcM qUn|mSu.vAmc u q v)mcferSvAuEn f UvAp|xcfvAu'n|u y vAEuºzª x u qA 5uEacf ^fepHvAx mvz£uEEnHvAm rsx pHvAuEnoqUm¦qA 5uEacf2yPvAd§ pof qUn|mSu y¶¬M®fy fepofteuuEacf ^fepHvAx mvz/ ²vUtfeu yacqsy#fMxvAp fMrf^noy{ n| qUpHvA·iµuEacf ! @ T"
(69) /IA ²qU5yEacqUEuwª Ê qU qUp|pHvAEz UFyEu#vAu fy5uEavAuw¬x mc fey qUdgfrq?q?y#vAd§ p|n|m r2tqUmcMn|uEnoqUm ¬uEacf{ n| qUpHvA ¢vUtfeu y< ¤qUEd v qUp|zacfM qUm;acqUdgfqUdgqUE a notu q ª`a noy9 qUp|zacfM qUmFtqUmcyEuEn|uEx u fy°qUx 9n|m n|uEnHvAp vA qwÀ?n|d2vAuEnoqUm ª. . . çç ÛZ [ \8]^. . . . .
(70) Sw. "! I" / . $> > @ . . . ! C. `acfn|m n|uEnHvApvA qÀMn|d2vAuEnoqUm twvAm{ f^ fO¾cmcf){z¨n|mcy#feEuEn|m rg qUn|mu yqUm vAmc)x cvAuEn|m r2uEacf ^fepHvAx mvwz'uEEnHvAm rsx pHvAuEnoqUm2vAmc uEacf®y feu°qA c{ n| qUpHvA ¢vUtfeu y°vUttqU Mn|m rsp|zªÌ3qUuEnotf®acqw·f feuEavAu n|m/qU fe+u q fe¡ ¤qUEd yExct#a¨v. fO¾cmcfedgfemuw¬·f5twvAm mcqUuKxcy#f5vyEn|m rspof ^fepHvAx mvz§uEEnHvAm rsx pHvAuEnoqUm y n|mctf)n|mcy feEuEn|m r½mcfe feEuEnotfy2n|m n|u2®qUx povAp|u fe/uEacf)n|d§ p|noten|ug ¤x mcteuEnoqUm ª f)uEacfe fO ²qU f xcy#f§uº·q ^fepHvAx mvwz£uEEnHvAm rsx pHvAuEnoqUmcywª`acf2¾c yEu qUmcfs¬9{ x n|p|u' qUd g¬9 fO¾cmcfy uEacf/n|d§ p|noten|u ¤x mcteuEnoqUm ª`acf^y ftqUmcqUmcfs¬?n|m n|uEnHvAp|noy f/ qUd g¬Mnoy·uEacfuEEnHvAm rsx pHvAuEnoqUm)uEacf.mcfe qUn|mu yvA f n|mcy#feEu f)n|mSu q ª+»ÍuvApoy q§ q no fyuEacf ^fepHvAx mvz ¢vUtfeu yu fyEu f ²qU{ n±¹¢ qUpHvAEn|uÍzª. qU fF ftenoy fep|z¬®f2vUcvA u Ê acfe áy'tex f?¹ºyEx ¡ ¢vUtfgdgfyEa n|m r vAp|rqUEn|uEa d DTSwVh F®vUy^ ²qUp|poqw5y¶ª `q fwvUt#a´{ n| qUpHvA; ¢vUtfeu noyFvUy y q?tenHvAu f©vAm´feE qUw¬°a not a´noy;uEacf UvAp|xcf &<;-'vAu uEacf¨tfemSu fe qA uEacf2ten| tepof/ten| tex dgy teEn|{ n|m r uEacfF ²vUtfeuwª fgy qUEu;vAp|p+uEacfg{ n| qUpHvA ¢vUtfeu y{Sz£ fte fwvUy n|m r feE qU y·vAmcF x u®vAp|pcuEacf ¢vUtfeu yacqsy ffeE qU y®vA fpHvAErfeKuEavAm¨v.xcy fe¡¹ºyE ften±¾fgfeE qU+{ qUx mc f §ª f§vApoy q)vU u q &uEacf;{ n| qUpHvA3 ¢vUtfeu y.acqsy f§vAm rspofyvA f;mcqUu n|m7v/ EnoqUEn|uÍz }xcfexc vAp|pKrs fwvAu feuEavAm« s) fers ffywª a n|po f noymcqUu'fed§ uÍz¬<·fgfOÀMuE#vUteu qU d uEacfF ¢vUtfe u. n|uEa«uEacfgpHvAErfyEu;feE qU;vAmc©y fwvA t a $ xcyEn|m r³{ n|mvAEz£y#fwvA t a 0uEacfg qUn|mS u
(71) /qA 5uEacf2Ë+qU qUmcqUn fMrf§MxvApu q «uEavAu^p|nofyqUm iµuEacf§y qA¹ºtwvAp|pofyEx ¡ ¢vUtf§ten| tex dgtfemSu fewª fFuEacfem£vU
(72) u6 q g¬Mx cvAu f^uEacf .fepHvAx mvwzuEEnHvAm rsx pHvAuEnoqUm³qAC 8vAmc¨uEacfy feuqA { n| qUpHvA· ²vUtfeu y¶ª fvApoy q x cvAu f {Sz¨n|mcy feEuEn|m rguEacfmcfe{ n| qUpHvA ¢vUtfeu yacqsy ffeE qU y3vA frs fwvAu fe5uEavAm ª »º +uEacf n|m n|uEnHvAp°y#fe0u y#vAuEnoy¡¾fy.uEacf;y#vAd§ p|n|m r)tqUmcMn|uEnoqUmdgfemSuEnoqUmcf£vA{ q fs¬ n|u.n|p|p° fed2vAn|m y#q§acfem®f;vU qUn|mSu y3u , q g'ª M3femctfs¬{Sz Ê qU qUp|pHvAEz U?¬ uEacf'x m noqUm qA uEacf{ n| qUpHvA5 ¢vUtfeu y n|p|p9 fed2vAn|m7acqUdgfqUdgqUE a notFu q vZ ¤u fe3fwvUt#a7n|mcy feEuEnoqUmqA ·v§mcfe qUn|mSuwª.»ºu3 ¤qUp|poq¶5y.uEavAu uEacf^ qUp|z?acfM#vApvA qÀMn|d2vAuEnoqUm avUyuEacfy#vAdgf^u qU qUpoqUrszvUy 3 ª. qU fq few¬ vUy®yEacqwm¨{Sz Ê acfe¬uEacf3vAp|rqUEn|uEa d*avAp|u y·vZ ¤u fe·v¾cm n|u f5mx d'{ feqA Qn|mcy feEuEnoqUmcy¶ª acfem)uEacf'vAp|rqUEn|uEa d u feEd§n|mvAu fyw¬ yPvAuEnoy¡¾fy5uEacf^xcy fe¡¹ºy ften±¾ffeE qU{ qUx mc ª. . . . . . . . . . . . . . . B
(73) >"@ 0@ >
(74) 7@
(75) @ . qA { x n|poMn|m r´uEacf ^ fepHvAx mvwz uEEnHvAm rsx pHvAuEnoqUm¼qA %¥vAmcf UvAp|xvAuEn|m r©uEacf³n|d§ p|noten|u/ ¤x mcteuEnoqUm vAu2uEacf³ten| tex dgtfemSu fe y)qA uEacf³u feuE#vAacfM#v½qA uEavAu2uEEnHvAm rsx pHvAuEnoqUm ª `acf) fyEx p|u2noy¨v V5 uEEnHvAm rsx pHvAuEnoqUm)femctq?Mn|m r'uEacf ftqUmcyEuEExcteu f/y x ¡ ²vUtfsª`a noyKn|m n|uEnHvApdgfyEa¨twvAm2{ f fO¾cmcfvUy fOÀM pHvAn|mcf³vA{ q fsª c qUd uEacf® f noqUxcy9Mnoy texcy y noqUm ¬U fe¡ ²qUEd§n|m r^v5 ftqUmcyEuEExcteuEnoqUm; qUd v qUn|mSu°y feuCtqUmcyEnoy u y. æ9ç<æ¤ä.
(76)
(77)
(78) ! ". SS. 5
(79) 9 9(, 5
(80) 35 . .f ¾c y u5 fO¾cmcfmvAuEx #vAp mcfen|rsa{ qUx y3qUm vFyEx ¡ ¢vUtfsª`acf (U¹ºMn|dgfemcyEnoqUmvAp{vAp|p<tfemSu fe f³qUm ©uEavAu+vUy y#fy+uEa qUx rsaY(' qUn|mSu y·qA noy®twvAp|pof2v
(81) IA ªá 8
(82) IANIAI noy®vyEx {cy feuKqA (¨ qUn|mSu y^qA acqsy f;tqUE fyE qUmcMn|m ry x ¡ ²vUtf {vAp|pnoy 9@ ¬ n¢ªáfsªuEavAu^ q?fy3mcqUu^tqUmSu#vAn|m vAmz;yPvAd§ pof qUn|mu+n|mgn|u yn|mu feEnoqUwª Ê pofwvAEp|z¬uEacf5y x ¡ ²vUtf· ¢vUtfeu yKvA f ¢vUtfeu y+qA uEacf ^fepHvAx mvz uEEnHvAm rsx pHvAuEnoqUmqA gª f fO¾cmcf uEacf 8
(83) IA
(84) O N ! V "
(85) 82O +½vUy3uEacf feEuEnotfy^qA uEacf§y x ¡ ²vUtfF ¢vUtfeu yac qsy f§tqUE fy qUmcMn|m r yEx ¡ ²vUtfF{vAp|poy tqUmSu#vAn| m +ª§»ÍunoyfwvUyEn|p|z feEn±¾f uEavAuw¬ acfe$ m : Á . : ¬ uEacf y x ¡ ²vUtf;mvAuEx #vAp°mcfen|rsaS{ qUx yqA ·v/ qUn|muqA tqUn|mcteno f;n|uEa uEacf^xcy xvAp mvAuEx #vAp mcfen|rsaS{ qUx y3n|m)=Á . : ª fmcq¶¦ ftwvAp|p uEacf fO¾cm n|uEnoqUm2qA v.rq?q?;yPvAd§ p|n|m r{ qUE q¶®fF ¤ qUd dgfemu#vvAmc WfeEE m DÓV Fºª {vAp|p noy3y#vAno)u q§{ f 2"! 2 n±K $OS0·n|u y5n|mu feEnoqU. q?fy5mcqUu5n|mu fe y fteu 3¬ $²Ah 0n|utwvAm mcqUu{ f n|mctep|xc f/n|m¨vpHvAErfeK{vAp|p y#vAuEnoy¡ ¤zn|m Y r $OS0Oª`acfe f3vA f3uº®q d2vZÀMn|d2vAp{vAp|poy®vUy yEn|m r uEa qUx rsa v; qUn|mS'u + - .ª `acf T IA
(86) 8! & ++-®vAu5v; qUn|mSu + - ¦noyuEacf¿xctep|no fwvAm³MnoyEu#vAmctf. ¤ qUd +u q;uEacf dgfMnHvAp<vZÀMnoyqAC $ n¢ªáfsª°uEacf^poqtexcyqA 9uEacftfemSu fe y5qA 9uEacf^d2vZÀ?n|d2vApQ{vAp|po8y 0OªK»ºunoyfwvUyEn|p|zy ffem uEavAu noy Qn|cy t a n|uE¸¬n¢ªáfsª9 ¤qU.vAmS9 z +
(87) - 3¬ & + -
(88) & -+1 5 + 5 noy·twvAp|pof¨v "9@ O ´n± vAmc2n± E¬s ²qUvAp|"p + - 3¬SuEacfe f.fOÀMnoyEu y·v qUn|mSu ! yExct#a uEavAu 5 + ! 5 & + -#ª acfe m , T,¬uEacfy#vAd§ pofnoy5yPvAno)u qF{ fv @
(89) I y#vAd§ pofsª `acf ¤qUp|poq¶n|m rguEacfqU fed h;avUy{ ffem q f{Sz3dgfemSu#v2vAmc WfeEm DTSw" Fºª. . . ÄÈ Ä 2"
(90) @ ! ;). . . . ! @
(91) I I"9@ T K
(92) IAK %
(93) 8. @ G J"
(94) " " . . . .yv'tqUmcy f}xcfemctfs¬?acfem noyv fe¡ ²fteu·y#vAd§ pofs¬?uEacf ^fepHvAx mvz¨yEn|d§ p|notfytwvAm/{ f3tepHvUy#yEn±¹ ¾fgvUy !
(95) qU
(96) fe femcMn|m r'acfeuEacfe+qUmcqUuuEacfez'{ fepoqUm ru q3uEacftepoqsy#fF fersnoqUm { qUx mc f£{z7uEacf§x m noqUm«qA uEacfgyEx ¡ ¢vUtfF ¢vUtfeu ywª2`acf/yEx ¡ ¢vUtfF ²vUtfeu y;vA fgtqUd§dgqUm½u q vAm n|mu feEmvApyEn|d§ pofOÀvAmc)u qgvAm³fOÀMu feEmvAp<yEn|d§ pofOÀ³vAmcuEacfe fO ²qU f' fy fe f^uEacfen|mvAdgfsª acfem©uEacf/y#vAd§ p|n|m r7 femcyEn|uÍz£noy'pHvAErfs¬+uEacfgË+qU qUmcqUntfep|poy§vA f/fepoqUm rSvAu f 1FuEacfen|;noMuEa u femc yFu q ¸wfe q n|uE! a )a n|pofuEacfen|§MnHvAdgfeu fe§u femc yFu qwvA y2v mcqUmM¹¢¸wfe q}SxvAmuEn|uºz©uEavAu fe femc yKqU m 3ª°ttqU Mn|m rsp|z¬ v^mvAuEx #vAp tqqU Mn|mvAu f3qA v qUn|mu +qA «n|p|p{ fpHvAErfn± QuEacf tqUE fy qUmcMn|m rgy#vAd§ pof^ qUn|mSunoy5v;yEx ¡ ¢vUtf.mvAuEx #vAp mcfen|rsaS{ qUx 5qAC + vAmcyEd2vAp|p qUuEacfeEnoy#fsª `a noy5noy ftenoy fep|z)yEu#vAu fn|muEacf^ ²qUp|poqwn|m r2uEacfqU fed q f³n|m DTSwV Fºª. . . çç ÛZ [ \8]^.
(97) Swh. "! I" / . . . + 2 @ "! XO " J6V X
(98) O; Q ?Y2! 2 ÄÈ Ä "
(99) I @ "! O ! 7 @
(100) I K@ TQO '@ V88! Y
(101) O V +. . V. !
(102) / . . - 354& + -4: 2& - . . $²hA0. 4
(103) R& ++- J IXO! J"! 8 O 8
(104) A8;
(105) O ! V "
(106) 8QO + `acfFmcfOÀMuuEacfqU fed¬°vApoy q q fn|m DTSwGFKyEu#vAu fyuEavAu vyEx {cy#feuqA ®uEacf§Ë+qU qUmcqUn feEuEnotfy¶¬ uEacf7y qA¹ºtwvAp|pof @ T8 ¬tqUm feErfu qwvA y)uEacf dgfMnHvApvZÀMnoy¨acfem uEacf yPvAd§ p|n|m r´ femcy n|uºz n|mcte fwvUy#fywª®`acfn|mSu feEmvAp%$¤fOÀ?u feEmvAp 0 qUpofqA Kv§yPvAd§ pof qUn|mSu ! noyuEacfË+qU qUmcqUn
(107) feEu fOÀqA uEacf.Ë+qU qUmcqUn tfep|pQqA " !p|zn|m rFn|mcyEno f$¤qUx u yEno f0?&vAmcvAu® ²vAEuEacfyEuMnoyEu#vAmctf. ¤ qUd !¡ª`a noy fy x p|uavUy5{ ffem)n|mc fe femc femuEp|z) q f{z¨3dgfemSu#v/vAmc qUp|x En DÓhVFºª ÄÈ Ä @
(108) I K@ T O "J + @ "! XO Q A 8
(109) 8 O ?E "! 2 R@ V ! E
(110) " V + "
(111) I @ ! O
(112) ; "! 2" )" Y I"
(113) R" !) Q82 ! 5#" ! ; ! 5 $4
(114) " ! ! X@ O ! "J ; ! ! ;8
(115) O "! 2 @ V88!
(116) O" V ! . . . . . . . . . . *( &%'.- 2 feu+ - vAmc. . )(. . . $- * 1 0 ,/ + +. @
(117) II I"9@ "
(118) 2" + " V & + - : Ä È Ä 2& - "
(119) ;" , "JK
(120) ;" + !)8 'J! )" TV 7
(121) O . ?
(122) "! "J
(123) ! Y@ "8! ! V " )" 8 & + - ! @ "8! ! VE! + - A ! V
(124) /! I J & ++- . 3+ + 1 ( & ++-4: 465!7 8
(125) !9;: + &+ - +. . 5 + 5 ª f^av fs¬cxcyEn|m r2`acfqU fed M¬. + 354 & ++- + - 354& ++- + 354& + - + 1 ( & ++-<& A ! 8
(126) 6 / - 354& ++- 5 + ! 5 1 ( & ++-<. & A- ! 8
(127) 6 / f2 q f/mcqw&uEavAuw¬< ²qU;vAmz£yEx ¡ ¢vUtf§mvAuEx #vAp®mcfen|rsa{ qUx ! qA ?+¬ 5 + ! 5 =?: > > & + -#ª »Ímc ffQ¬spofeuA@ { fv^yEx ¡ ¢vUtf{vAp|p acqsy fn|mSu feEnoqUKtqUmu#vAn|mcy +9ª < feu " { f®uEacftfemu feKqA B@7vAmc. . !. - 374 & ++-. . . æ9ç<æ¤ä.
(128) Sw .
(129)
(130) ! ". "!+qUmcf'qA +uEacf'yPvAd§ pof' qUn|mSu y3p|zn|m rqUm0@ª fav f 5#" + 5 5#" ! 5 vAmc 5#" "! 5 & " y n|mctf noy/v ¹ºy#vAd§ pofsª qU fqfew¬ 5 + ! 5 5 + " 5 1 5#" ! 5 & " -FvAmc & " - & + -+1 5 + " 5 & ++ -1 & " -#ª?M3femctf & " -
(131) & + -#¬ a not a q fyuEacftepHvAn|dª :> f'uEacfe fO ¤qU f av f + +& ++ - + & =?> & + -1 ( & ++ -- 2& -#ª.În|mctf { qUuEa & ++-5vAmc ( & ++-5vA f { qUx mc f½}xvAmSuEn|uEnofy;uEavAuF qmcqU: u;> fe femc«qUm ¬<·f2av f2 qf½uEacfg¾c yEu'vAEuFqA uEacf. uEacfqU fedª <fe' u + - vAmc vUy yEx dgfs¬vUy3n|m³uEacf'uEacfqU fed¬uEavAu0+7p|nofy3vAu3Mnoy u#vAmctf;vAu5pofwvUy u ¤ qUd 7 ²qUKy qUdgftqUmcy u#vAmSu ,Mª fuEacfe fO ²qU fav f 5 + ! 5 ²qUKvAmSz ! - gª n|uEacqUx u poqsy#y5qA 9rfemcfe#vAp|n|uÍz¬c·f'vUy yEx dgf^uEavAu+ - ¨¬ uEacfqUuEacfetwvUy#f{ fen|m rgfemuEn| fep|zyEz?d§dgfeuEEnotwvAp¢ª Ê qUmcy no fe¾c yEuuEacf2twvUy f2qA 5vAm½n|mM¾cm n|u fep|z£ femcy f2y#vAd§ p|n|m r y quEavAu vAmSz qUn|mSu;qUm noy;v yPvAd§ pof5 qUn|mSuwª»Ím/yExct#a¨vtwvUy#fs¬SuEacf3y feu & ++-°qA vAp|pmvAuEx #vAp mcfen|rsaS{ qUx y·qA +noy·v qUEuEnoqUm qA 3ª`a noyy feu5tqUmcy noyEu yqA uEacf^ qUn|mSu yqA acqsy f.d2vZÀMn|d2vAp {vAp|poytqUmSu#vAn|8 m + $¤y ff 9n|rsx f Ah 0Oª. /. -. -. -. . 9n|rsx f'h 1+`acf'y feu & + -#ª. . . ~+pHvAn|m p|z¬+vAmSz qUn|mSu - & ++-^noy ?noyEn|{ pofg qUd +¬n¢ªáfsª)uEacfg fepHvAuEn f¨n|mu feEnoqU;qA 5uEacf2p|n|mcf y#fersdgfemS u + ° q?fy§mcqUu2n|mu fe y fteu .ªµ»ÍuF ¤qUp|poq¶5y2uEavAu23 & ++-*, ²qU2vAmSz - & + -#ª. qU fq few>¬ 3 & ++- $,Mª^»ºmc ffQ¬ pofeu { fFvgmvAuEx #vAp°mcfen|rsa{ qUx qA +9ª3`acf;d2vZÀMn|d2vAp {vAp|p°u#vAm rfemuu 9 q vAu £tqUmSu#vAn|mcy +9ª feu * femcqUu fyn|u y^#vUMn|xcyvAmc7pofeu P { f uEacfgvAm rspof { feuº·ffem uEacf pHvAmcfu#vAm rfemSu/u A q *vAu vAmc´uEacf fteu qU *8 + $¤y#ff n|rsx fA 0Oª fav f 3 & ++-Y: 5 + 5 P vAmc P 5 + 5 < ª M.femctfs¬n±
(132) /½ femcqUu fy/uEacfd2vZÀMn|d'x d #vUMn|xcyqA vAp|p?uEacf·fed§ uºzFyE acfe fyw¬U·f·av f 3 & + - : ªÎn|mctf / noy9{ qUx mc fQ¬ ,Mª+»Íu ²qUp|poqw5y5uEavAu. . . . +. & -4:"!$#. çç ÛZ [ \8]^. . . =. / - 3 & + -03 & + -N(
(133) . ,.
(134) "! I" / . S
(135). . `a noy5 q fy5uEacfuEacfqU fed n|m)uEacfp|n|d§n|uwª <feuKxcy+mcq¶tqUmcy no fe®uEacf3twvUy f5qA v.¾cm n|u f.y#vAd§ pofsª`acf3vA{ q f.vAErsx dgfemSuavUy·yEacqwm/uEavAu & ++-·noyyEuEEnoteuEp|z)n|mctep|xc f n|mcyEno f9& + -#¬uEacf;y feuqA + qUn|mSu y.qA uEavAu^vA f ?noyEn|{ pof ¤ qUd +9ª `acfe fO ²qU fs¬ 354 ,§ ¤qU^vAp|"p ! - & ++-#ª <feu !{ f'v§mvAuEx #vAp9mcfen|rsaS{ qUx ^qA + mcqUu.n|m & ++-#%ª $¤3fed§n|mc uEavAu & ++-Qnoy°uEacf· qUEuEnoqUmFqA ½tqUmcyEnoyEuEn|m rqA QvAp|p?uEacf·mvAuEx #vAp mcfen|rsa{ qUx y qA +½n|m£uEacf§tqUmuEn|mSxcqUxcy;y feuEuEn|m rcª 0 fgvAn|d vAu q n|m r³uEavAuw¬Q ²qU'vyE x H2tenofemSuEp|zyEd2vAp|p ¬ ! - R& ++-#ª În|mct9 f ! noyv½mvAuEx #vAp^mcfen|rsaS{ qUx qA( +¬5uEacfe f fOÀMnoyEu y)vAu¨pofwvUyEu¨qUmcf ^fepHvAx mvz yEn|d§ pofOÀ n|mcteno femu^u %q !acqsy f ten| tex dgy teEn|{ n|m r{vAp|p9tqUmu#vAn|mcy +ª5.y yEx dgf¾c yEuuEavA0u + { fepoqUm ry.u q uEacf ^fepHvAx mvz{vAp|p 5 354tfemu fe f³vAuuEacf^ qUpof^qA ! ªKÎn|mctf ! - ( & ++-#¬MuEacf.d2vZÀMn|d2vApQ{vAp|p - 354·uEavAuvUy y#fyuEa qUx rsa ! qfy^mcqUutqUmu#vAn|m +ª W·x uw¬ yEn|mctfF{z `acfqU fed c¬ 5 3745vAmc - 354°vA f^tepoqsy f^vAmc/u femc y·u q;{ ftqUdgf3no femuEnotwvApQacfem ^u femc yu q'¸wfe q ¬MuEacfe f.d'xcy ufOÀMnoyEuv qUn|mSugtepoqsy f^u ; q + $²vAmc)tqUm feErsn|m r2u qwvA y + acfem svAm noyEacf8y 0·yExct#a)uEavA u ! - & -#ª W·ztqUmSuEn|mx n|uºz³qA uEacfmvAuEx #vAp<tq?qU Mn|mvAu fy^vAmc)uEacf^ ¢vUteu5uEavAu & ++-Knoy3yEuEEnoteuEp|z/n|mctep|xc f n|mcy no f9& + -#¬cn|u ²qUp|poqw5y5uEavAuw¬ ¤qUvAmzy x H2tenofemSuEp|z)yEd2vAp|p 2¬ ! { fepoqUm ryu qR& ++-#ª .y yEx dgf³mcqw uEavAu +¼ q?fy2mcqUu¨{ fepoqUm r«u q 5 374{ x u¨u q½y qUdgf qUuEacfe ^fepHvAx mvzµ{vAp|Rp 5 vUy#yEn|m r3uEa qUx rsa ! ª fK¾c yEu°qU{cy fe f·uEavAuuEacf®#vUMn|xcy°qA 5 noy°vAupofwvUyEu yEn|mctf 5 + ! 5 ª. qU fq few¬<uEacf;Ë+qU qUmcqUnKtfep|p+qAC ! noyfepoqUm rSvAu f 1.n|u y^noMuEanoy & -5a n|pofFn|u yMnHvAdgfeu fe noy &O,"-#ª¿KvUy ztqUd§ x u#vAuEnoqUmcy.uEacfem yEacqw uEavA9u 5 noy5n|mctep|xc f n|m³uEacf n|m ¯qw5y ¯n°yEx d qA 5 374KvAmc vF{vAp|p9qA #vUMn|xcy 2& -#ª`acf fyEu3qA °uEacf' qqA noyuEacfy#vAdgf vUy5 ¤qUuEacf f noqUxcy twvUy#fsª 8. . . . . . . . . . . =. . . . -. . .
(136). . . 9n|rsx f' 1?W·qUx mcMn|m r23 & ++-#ª. æ9ç<æ¤ä.
(137) Sw.
(138)
(139) ! ". JV ) IG
(140) )4 Y Q @
(141) IJV ) "9
(142) @ . È È \ Å. J. . . IJA"
(143) . . J"! ). . . . ÈQÈ ! f5¾c yEuKyEacq¶uEavAuw¬S ²qU®vAmSz,+ - 3¬uEacfe ffOÀMnoyEu y - ´ yExct a¨uEavAu 5 + 5 :& A-#ª În|mctf(&noy.v§ fe¡ ¤fteu ¹ºy#vAd§ pofs¬ ²qU.vAmSz + - 3¬uEacfe f fOÀMnoyEu y ! - *yExct#a³uEavAu 5 + ! 5 & ++ -#¬ a not#a³ q fyuEacftepHvAn|d yEn|mctf "!{ fepoqUm ry3vApoy qFu q ª Ê qUm fe y fep|z¬?pofeu - 3 ª4W·zFuEacfqU fed*M¬ /
(144) 5 + 5 u femc yKu q¸wfe q'acfem 3u femc yKu q¸wfe q ª 8. @ G J"
(145) " . È È \ Å . I"
(146) . . ! R I"9@ O I"
(147) I" 98 " "2"
(148) @ ! Q) . . . !) ; 2 / . ! @ T"
(149) 4IA . ÈQÈ ! feu - 3 ª2W·z7uEacf2vA{ q fgtqU qUp|pHvAEz¬ ²qU'vAmSz ,³vAmc½v)yEx H2tenofemuEp|z7y d2vAp|p ,M¬ uEacfe fFfOÀ?noy u y0+ - yExct#a uEavAu 5 + 5 ª'În|mctf6noy^v2 fe¡ ¤fteu ¹ºyPvAd§ pofs¬ uEacfe f fOÀMnoyEu y ! - 8 yExct a³uEavAu 5 + ! 5 & ++-#ª fuEacfe fO ²qU fav f 5 7 ! 5 5 + 5 1 5 + ! 5 : 1 2& -#ª feu { f.uEacf.poq?twvAp ²fwvAuEx fyEn|¸wf^qUm 3 ª noy{ qUx mc f/ ¤ qUd { fepoq¶ y n|mctfµ noy tqUmuEn|mSxcqUxcyEp|z7MnCBQfe femSuEnHvA{ pofsª;»ºu3 ¤qUp|poq¶5y^uEavAuw¬ ¤qUv¨yEx H2tenofemSuEp|z yEd2vAp|p S¬= noyv/ fe¡ ²fteu yPvAd§ pofqA vAmc)`acfqU fed h§vA p|nof³u q vAp|poqw5yu qgtqUmctep|xc fsª 8. . . . ° + (
(150) ¥91F P', ' '
(151) (95
(152) F # P .
(153) > < 2 C
(154) @ % Ä Ä Ê qUmcy no fe3uEacf mvAuEx #vAp fersnoqUm # /21 354KvUy y q?tenHvAu f u q% !. x qUm n|mcy#feEuEnoqUm qA +9ª.În|mctf uEa noy fersnoqUm§noy° fep|n|d§n|u fF{z'Ë+qU qUmcqUnctfemSu fe y+n|mFtqUm fOÀ; qsyEn|uEnoqUm ¬qUmcftqUx po.¡xcyEu°tqUp|pofteuuEacfed¬ tqUd§ x u f'uEacftqUm fOÀax p|p9vAmc³n|u y qUp|x dgfsXª W®x uuEa noy5 f}x n| fy3v§tqUm fOÀaSx p|p9vAp|rqUEn|uEa dª 3mcqUuEacfedgfeuEacq?7 qU qsy#fn|m DÓh FKtqUmcyEnoyEu y'qA K¾c yEutqUd§ x uEn|m r uEacf§Ë+qU qUmcqUn+ fersnoqUm½qA +9¬vAmcy ftqUmc³yEx { Mn ?noMn|m r2n|un|mu qguEacf'mvAuEx #vAp<mcfen|rsaS{ qUx y.yEx {M¹¢ fersnoqUmcywªK`a noy3yEuE#vAu fersz f}x n| fyn|mu fe y fteuEnoqUm vAp|rqUEn|uEa dgywª `q'¯ffex ¨n|uEa/uEacf ^fepHvAx mvz/d2vUt a n|mcfeEz¬M®f^twvApotex pHvAu f 8! C)" " uEacf qUp|x dgf^qA vAp|p uEacfmvAuEx #vAp fersnoqUmcy{Sz;d§n|d§not ¯?n|m r'uEacfn|mcy feEuEnoqUmgqA= +gn|m§uEacf ^fepHvAx mvwz uEEnHvAm rsx pHvAuEnoqUm ª. . çç ÛZ [ \8]^. ! . . . . . .
(155) "! I" / . SL WfO ²qU. f fy#teEn|{ n|m r¨uEacfFvAp|rqUEn|uEa ddgqU f ftenoy fep|z¬ ®f ftwvAp|p°acqw vg qUn|mSu.noy.n|mcy feEu f n|m. v ^fepHvAx mvwz)uEEnHvAm rsx pHvAuEnoqUm ¬vAmc fy teEn|{ f^uEacfrfqUdgfeuEEz)qA +vFmvAuEx #vAp fersnoqUm ª. %. . . . Å. . Ä ¶ + È " 3"5)Ä \. . w M È=. »Ímcy feEuEn|m r v¨ qUn|mSu +½n|m«v ^fepHvAx mvwzuEEnHvAm rsx pHvAuEnoqUm«noy'v¨uÍ®q yEu#vArfy q?tfy ywª 9n| yEuw¬<uEacf u feuE#vAacfM#v.n|mFtqUm cnoteu°n¢ªáfsª<acqsy#f·ten| tex dgy#teEn|{ n|m r{vAp|p?tqUmu#vAn|mcy +2vA f®y#qUx rsaSuwª°`acf·x m noqUm qA ^uEacfy f)u feuE#vAacfM#v ¤qUEdgy¨vyEu#vA¡¹ºyEavA f¦ fersnoqUm fO ²feE f u q«vUy§uEacf ! ª¼Î?ftqUmcQ¬ uEa noy§twv n|uÍz«noy;¾cp|pof´x ¦n|uEa¦mcfeu feuE#vAacfM#vMª´¿KvUt#aµyExct a¦u feuE#vAacfM qUmµnoy§ fO¾cmcf´{Sz v .fepHvAx mvwz ¢vUtfeu qUm½uEacf2{ qUx mccvAEz£qA uEacf/twv ?n|uºz«vAmc½uEacfgmcfe feEu fOÀ£n|mcy#feEu fQª³Î?ff 9n|rsx f F ²qUv V5 fOÀ vAd§ pofsª. . . . . . .
(156) . . . 9n|rsx f 1»Ímcy feEuEn|m rv/ qUn|mu^n|mv V5. ^fepHvAx mvwz¨uEEnHvAm rsx pHvAuEnoqUm. æ9ç<æ¤ä.
(157)
(158)
(159) ! ". SU. 9n|rsx f. 19¿À vAd§ pofmvAuEx #vAp fersnoqUm¨n|m 3"5. %. . ÄÈ Ä w Å È . . . M <A · Ä È . .y5vAp| fwvUMz¨dgfemSuEnoqUmcfQ¬&# /21 354°tqUmcyEnoyEu yqA 354t#acqU f³qVB {Sz¨uEacf^avAp± ¹ºyEvUtf%-;/2) 1 354 ª»¢ v ¢vUtfeu 7qA! 374 feEn±¾fy 0% -0/21 354 : )M¬twvAp|p n|uv 8@ ªK»º 9qUmuEacfqU qsyEn|u f % -0/21 354 :$ ( )M¬ twvAp|p uEacf5n|mSu fe y fteuEnoqUm %%-6/2) 1 374 vAm
(160) O ª`acf fersnoqUm # 0/21 374 tqUmcy noyEu y+qA QtwvAcyKvAmc2vA t acfy¶¬ u qUrfeuEacfen|uEaFuEacf·{ qUuEu qUd ²vUtfeu fO¾cmcf;{Sz 354 %'- /21 354 ªÎ?ff 9n|rsx f ²qU°vAmFn|p|p|xcyEuE#vAuEnoqUm ª Îx qsy f¨mcqw uEavAugv Ë+qU qUmcqUn ¢vUtfeu;ivA t a qU§twvA?i noygv svAn|pHvA{ pofvUy;uEacf)qU fe f¦y fO¹ }xcfemctfqA n|u y feEuEnotfywª«În|mctf¨uEacf/ ²vUtfeuFnoyFtqUm fOÀQ¬uEa noy§y f}xcfemctf¨ q ?no fygv mvAuEx #vAp uEEnHvAm rsx pHvAuEnoqU+m 13uEacf ²vAmM¹ºy avA f uEEnHvAm rsx pHvAuEnoqUm#vUMnHvAuEn|m rqUx u^vAmz feEu fOÀQª^`acf x m noqUmqA uEacfy#fuEEnHvAm rspofy q no fyv'uEEnHvAm rsx pHvAuEnoqU m ! qA vAp|p uEacf5 ¢vUtfeu yqA
(161) /21 354<{ x u·uEacf3{ qUuEu qUd qUmcfsª. . . . . . . qUmcp|x tf/dgyEfxcqAt a´#v) uEE/2nH1 37vA4m rs fx MpHvAxcuEtnofqUy5m´u qFnoy uEv acUfvAn|yEpHx vAd { pofsqA¬° n±uE ac f ! noqUyFp|x vAdgmSz fy5feqAE °u uEfOacÀ½f^qAu feuEuE#acvAfgacf{ MqU#uEv§u qU d fO¾c ¢mcvUft)feuw{¬zuEacf ! vAmcuEacf^uEEnHvAm rspofyqA ! ª. çç ÛZ [ \8]^.
(162) Sw. "! I" / . % . . Ä È \ . . . c qUd4uEacf f noqUxcygMnoy#texcy yEnoqUm ¬KtqUd§ x uEn|m r½uEacf qUp|x dgf) fMxctfy§u q fe qUEuEn|m r½uEacf)y fO¹. }xcfemctfyqA feEuEnotfy fO¾cm n|m r)uEacfFtwvAcyvAmc uEacf§vA t acfywª `<q)y ff;acq¶uEa noytwvAm7{ fF qUmcfs¬ fO¾cmcf¨vAm½fOÀMu feEmvAp9$ n|mSu feEmvAp 0'fMrf2qA uEacf2twv n|uÍzvUy;v ^fepHvAx mvz£fMrf2poqtwvAu f£qUm½uEacf { qUx mccvAEz)qA% $ n|mcy no f 0®uEacftwv ?n|uºzª. . . . <vUAfe uvUt{femS uFfu vAqm vfOÀMAu fef2Em¯?vAn|p|p5poff¦MrvAfsmcª½ fe qUpHvUm´tfuE©acf{n|z£mcy uºfe·Eq7uEnoqUmcm fe&qA u +feuE¬+#vAy qUacdgfMf#v u feuE#)vAacf )M#v+ª7 ` ac fy f/mcfe = u feuE#vAacfM#v av f + vUy³vA fOÀ vAmc¼uEacf ^ fepHvAx mvwz ¢vUtfeu y³vUA vUtfemSuu q£vUy){vUy fsª <feu ; ; !) ! 1 vAmc7; ; ! ! 1. 1 .{ fuEacften| tex dgtfemSu fe yqA uEacf3mcfevAmc¨qUpogu feuE#vAacfM#vMªK`acf y#f}Sxcfemctf= ; ; ) !; ;77!; ;
(163) !; ; )= g fy teEn|{ fy^uEacf§vA t#a£n|mSu fe y fteuEnoqUm«qA KuEacf§MxvAp° ²vUtfeuqA n|uEa.- /2) 1 354 ª Ê qUmcy no fe3mcq¶ vAm n|mSu feEmvApfMrfY&# ! / -#ªÎxct a£vAm7fMrf q?fymcqUu^fOÀMnoyEu3n|m Eu acf'uEEnHvAm rsxM¹ pHvAuEnoqUm fyEx p|uEn|m rF ¤ qUduEacf.n|mcy feEuEnoqUm)qA
Documents relatifs
Jean-Daniel Boissonnat DataShape,
In Section 2.3, we used the jump discontinuities of f (x, y) for the fixed intermediate grid points ¯ x and ¯ y to locate the smooth regions of f (x, y) necessary for performing
Before, in Section 7, we shall apply the operators S^ and E^ and dérive finite element error estimâtes for the Poisson problem in certain domains with edges.. The result can not
Remicade est indiqué dans le traitement de la rectocolite hémorragique active, modérée à sévère chez les patients qui n’ont pas répondu de manière
Traitement systémique: sorafenib si invasion vasculaire, localisations extra-hépatiques et cirrhose compensée. Traitement symptomatique si cirrhose CHILD C, état général altéré
This paper presents a Modified Variational Splines Fitting (MVSF) algorithm for surface reconstruction using thin plate splines on scattered patches or points of originally
At a given time step, we stopped the simulation and performed the following time step using the four different approximation techniques, namely, finite element, Sibson, Laplace
The presented algorithm has several nice properties: (i) it does not require normal information from point cloud and works for both watertight mod- els and open models in the same
