Contours Actifs d'Ordre Supérieur Appliqués à la Détection de Linéiques dans des Images de Télédétection
56
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Contours Actifs d’Ordre Supérieur Appliqués à la Détection de Linéiques dans des Images de Télédétection Marie Rochery — Ian Jermyn — Josiane Zerubia. N° 5063 Décembre 2003. ISSN 0249-6399. ISRN INRIA/RR--5063--FR. THÈME 3. apport de recherche.
(3)
(4)
(5)
(6) ! "$#% & '. (" " )*+,-#%
(7) ./)&0/12#3 % 4- 657&-#'+,- %
(8) -0 -
(9) %
(10) 98;:<0= %
(11) 9- ?>@#')&#%-#3 %A& BDCFE*GIHKJ!L MNOHPE*QFRSCUTDVFHPEXWKQ TYRVFL;ZXGICFTOH$[3HPEX\O]OGIC ^`_badcfe g-hjilknmedo&prqdmsutrkv_btrcwcfeXxycKprq&_zs{kbe}| s{cKp~e|ztrkzkb e|bqtrkzkpsu&pkbqe %otedm ospkp pztromzeoeq_bedoq_bek }}}g!h qedc zoe }}}g-h}p~e nP¡ ',pkbqe!o&pzOtrom|kbtr¢bzo edkUmtrkb¢zkbe!kbtr¢z£ed¤{¤ue cf dm_btUze tr¢zo¤y¥ s{kbqtroOtx o&pmsutrk¦§¥ ¢zkbe!s{k;¨©trocKpmsutrk¦¢zo¤pw~ trcf dmosue$ª!« ¬X¯®r¬XObpkb¤ue!qpr;oe-ze qtrknmtr¢zoprqdms°¨©± ²tr¢bs{kUmotU;¢zsu&trkb¢zkbe-kbtr¢z£ed¤{¤ue qd¤pre ze-qtrknmtr¢zo,prqdms°¨©§¥³tro;oe ¢zO dosued¢zo|´U¢zstrkUm zeµ dkbedo~}sue'´n¢pr;o&pmsu´U¢beµ¢zo%¤y¥³eprqeze·¶dx¸q&_pP¹ukbe|nqtrkUmo&ps{oedcfedknm·p¢;º dkbedo~}sue»qd¤pr¼x su´n¢bedcfedkUm ¢zms{¤{su e-´n¢zsµ&trknm!¤{s{kb ps{oe±½¾e dkbedo~}sue edocfedmmedkUm zefz X¿bkzs{o ze,s{knmedo¼x prqdmsutrkbkbtrkÀmos{£Fsp¤ue,edknmoe¤ue,;s°Á§ doedknmOtrs{knm,;¢Âqtrknmtr¢zo±Ã%¤{¤ue,ztrkzkbedknm,kpsu*pkbqe Ä ze·¨©troqe kbtrkŤutFqp¤ue|edocfedmm&pkUmps{kbs§¥ s{knmotF;¢zs{oe-¢zkbe s{k;¨¯trocKpmsutrk¦~ trcf dmosu´n¢be ¨©tromewbpkb!¤uecftFzad¤ue}±A¥ ¢zkÆOtrs{knm ze£F¢befp¤{~tros{m_zcwsu´U¢be}|Akbtr¢b!¢zms{¤{su&trkb,¤pÇcf dm_btFztx ¤utr~}sue-poqtr¢zoeze!kzs{£ep¢ÆpP¿bkÀze motr¢z£edo¤ue-cws{kzs{c ¢zc<ze!¤y¥³ dkbedo~}sue}|¤pKzo edkbqe ze ¨©troqekbtrk@¤utFqp¤uewkb qes{m&pkUmf¢zkbe7eXºFmedkbsutrkÈzecf dm_btUzefm&pkbbpo@¢zms{¤{su ewOtr¢zo ¤y¥³ d£tr¤{¢zmsutrk´U¢be kbtr¢bz qdos{£trkb±O²tr¢b ¢zms{¤{sutrkbqe-kbtr¢z£ep¢ÀcftUzad¤ue-tr¢zo¤pfz dmeqdmsutrk ze ¤{s{kb dsu´n¢bewÉÊotr¢zme| os{£Fsuadoe|±{±{±ÌË bpkb¤ue s{cKp~eze m d¤u z dmeqdmsutrkÆedmkbtr¢bcftrknmotrkb zeo ¢z¤{m&pm §¥³eXº;mo&prqdmsutrkv¢zo zes{cKp~eo ed¤{¤ue± ÍÏÎbÐÑ&ÒnÓÊn Ô~ trcf dmosueȪv«¬*©®r¬XÊ|¾ dkbedo~}sue7´n¢pr;o&pmsu´U¢be|`qtrknmtr¢zoÅprqdms°¨©|»cftUzad¤ue z X¨©trocKpz¤ue|beXº;mo&prqdmsutrk¦zeo &ep¢;º¤{s{kb dsu´U¢be±. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65.
(12) & =- % ( %
(13) 57&- 6 3 .
(14) 04& ': · ? , '
(15) &-= ÐzÒÐ 7i¸kÏm_zsu oedtrom | »e¡s{knmotF;¢bqeÈpÈkbe Ôqd¤pr t¨prqdms{£e qtrknmtr¢zoÆedkbedo~}sue | ´U¢pr;o&pmsuqKtrkm_befprqeKt¨¶dx¸q_ps{kb |pr-trzt}&eÂmtÅqd¤prsuqp¤»edkbedo~}sue| ·_zsuq_Dpoef¤{s{k;x epo±¡^`_bee7edkbedo~}suefzeX¿bkbeÇkbtrk@mos{£Fsp¤`s{knmedo&prqdmsutrkbfOed m ¾eedk;s°Á§edoedknmfOtrs{knmwt¨m_be qtrkUmtr¢zo|pkbm_n¢bp¤{¤u t m_bes{kbqtrotro&pmsutrkÅt¨·ª« ¬X¯®}¬*_pes{k;¨©trocKpmsutrk7m_zotr¢z~}_7m_be ~edkbedo&pmsutrkÅt¨kbtrk;xy¤utUqp¤¨©troqe»m_pm·qpoo f~etrcfedmosuqs{k;¨©trocKpmsutrkA±'^`_be Çp¤ut p¤{¤u t 9m_be zeX¿bkzs{msutrk t¨'qtrcwz¤ueXºvbpm&pmedocf ¤{s{k Fs{kz~fm_be!bpm&p$pm ;s°Á§edoedknmtrs{kUm t¨%m_be!qtrknmtr¢zo± ^tftr¤{£e,m_be!cftUzed¤u!| »e,¢be!m_be,¤ued£ed¤edm·cfedm_btFztr¤utr"~ |s{k7m_be!zotUqeeXºFmedkb;s{kz~Km_be m&pkbbpo7ed£tr¤{¢zmsutrkÅcfedm_btUz`mtwzep#¤ ·s{m_7m_bekbtrk;xy¤utFqp¤{s{ m 7t¨m_be¨©troqe`s{kn£tr¤{£e§%± $Æe ¢b&e m_zsukbe 2pzzotprq_Às{k trozedomtzeX¿bkbe cftUzed¤u¨©tro m_beeXºFmo&prqdmsutrkÂt¨'¤{s{kbe-kbed m ¾tro F ÉÊotprz |zos{£edo|§±{±{±Ì˾s{kv*pmed¤{¤{s{me,s{cKp~edo &± $Æe!_b t trcfeoe¢z¤{mtrk7oep¤°'x »tro¤u¦s{cKp~e± (*),+O.Ñ -- Î /3 _pezosutro|´n¢pr;o&pmsuqfedkbedo~}sue |prqdms{£ewqtrknmtr¢zo |zeX¨©trocKpz¤uewcftFzed¤u| ¤{s{kbe!kbed m »tro ÅeXº;mo&prqdmsutrkA±.
(16) ®y®F¬
(17) ¯ `¬r¬«X¬* F¬. g. >Ç0 )& %
(18) : 0`O% %
(19) !. 1. >. . )n$ÒÎ$#ÐÎ zÒ}Ð&%('¸*)A /;Ð&%()A )n ± li knmotF;¢bqdmsutrkD±!± ±,±!±,±!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± -Ae dkbedo~}sue ´U¢pr;o&pmsu´n¢be ±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ± -Ae`¨©trkbqdmsutrkzkbed¤{¤ue¤{s{kb ps{oew±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ± ;± , -Ae`¨©trkbqdmsutrkzkbed¤{¤ue´n¢pr;o&pmsu´U¢be2±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ± ;± Ã%£tr¤{¢zmsutrk ;¢vqtrknmtr¢zoDZ!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ±g -Aeqtr¢zoOeze,kzs{£ep¢ ± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ± g;± , ¤{~tros{m_zcfe z d£ed¤utrzO bpkb·¤ue!qpr;oe zeqtr¢zoe ze,kzs{£ep¢ ± , ± g;± ½`p¤uqd¢z¤ze¤p ¨©troqe±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± , ± g;± g Ã%m¢bze-§¥ ¢zkvqpr·pomsuqd¢z¤{suedo§¥³ dkbedo~}sue ´n¢pr;o&pmsu´U¢be ±,±!±,±!±,±!± ±,±!±,± , ±0 3242 5Ó %Ê,Ò ;&Ð %Ê$Î #» /3Ð )UÒ}&Ð %Ê$Î # / ) 5Ó %(#6 %()A )n /# /)n
(20) %¯ 87 )n /)!ÐFÓI /nÐ )nÒ}&Ð %Ê9Î # ;± , Ã%m&pm ze!¤y¥ pom ±!± ±,±!±,±!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± ;± -Ae,cftFzad¤ue,zotrOt} ±,±!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± ;± g ¢z¤{m&pm ±,±!± ±,±!±,±!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± ;± 0 =kbe p¢zmoe,Ot}s{zs{¤{s{m Otr¢zo·¤y¥³ dkbedo~}sue ze,¤y¥ s{cKp~eȱ ±!±,±!±,±!±,±!± ±,±!±,± ;± 0b± , Ã%kbedo~}sue,s{cKp~e$±!±,±!±!±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± ;± 0b± ½¾trkbmo¢bqdmsutrkv§¥ ¢zk¦q_pcwvOtr¢zo¤pz dmeqdmsutrk ze¤{s{kb dsu´n¢bej±!±,± ;± 0b± g ¢z¤{m&pm p£eq!qedmme,kbtr¢z£ed¤{¤ue- dkbedo~}sue ±!±,± ±!±,±!±,±!±,±!± ±,±!±,± ;± ilkzs{msp¤{su&pmsutrk¦edmqtrkU£edo~edkbqe6±,± ±,±!±,±!±!±,±!±,± ±!±,±!±,±!±,±!± ±,±!±,± Î #ÒUÓÊ& %Ê$Î # )*Ð @ ) 2 )UÒ}&Ð %BA )n ? 9 D F EG#4%I&Ð %Ê$Î # ". +. , ,. HIHKJLMNO P. . . /. . ,. ,, ,. . , ,. 19: <;. . g} g} g} g} g} 0n 0n. C > C9+.
(21) 0. ·® 8X¬ X¬
(22) 4X¬ d¯ª. 4H.
(23) ®y®F¬
(24) ¯ `¬r¬«X¬* F¬. . . -0"¼ .
(25)
(26) ! #"$ 8z ,-A& . -AeKqpr;oew~ dkb do&p¤`zefqewmo&p£rps{¤`¥ s{kbqdos{m-bpkb!¢zkbefzotrz¤u dcKpmsu´U¢be§¥³eXºFmo&prqdmsutrkDze ¨©trocfefbpkbfzes{cKp~e$zeÇm d¤u z dmeqdmsutrkA±µÃ%ko&psutrkÈzeǤy¥ s{cwtrom&pkbqevqdotrsu&pknmev;¢ kbtrc-zoe¦§¥ s{cKp~e7prq´U¢zsue|µs{¤zed£Fsuedknmkb qe&ps{oe zevz d£ed¤utrzOedozetr¢zms{¤up¢zmtrcKpPx msu´U¢beK§¥ pkp¤ ;e¦§¥ s{cKp~eKOedo¼¨¯trocKpkUm±µ'¤{¢bKzo qdsu dcfedkUm|µkbtr¢bKkbtr¢bKs{kUm doetrkb Ä ¤pfcftUz d¤{su*pmsutrk §¥ ¢zkbe-~ trcf dmosueª «¬*©®r¬Xz¤{¢bO qds°¿´n¢be-ze¨©trocfe Ä z dmeqdmedo±§½¾eqds em¢zk trs{kUm¨¯trkbbpcfedkUm&p¤%z¢zsu´n¢be-¤uetr;¼edm Ä eXºFmo&ps{oe zo edkUmedknm,~ dkb do&p¤uedcfedknm-ze zotrzosu dm ~ trcf dmosu´U¢be´n¢zs»edocfedmmedkUmzeK¤ue-;s°Á§ doedknmsuedo po o&pztrom Ä ¤ued¢zoedkn£Fs°x otrkzkbedcfedkUm± ²tr¢b·z d£ed¤utrzOtrkbqedmme dm¢bze,bpkb·¤ueqpr;oe,ze·qtrknmtr¢zo prqdms°¨©±b½¾e·zedokzsuedotrkUm dm ¢zms{¤{su ·bpkb`zekbtrc zoed¢bepzz¤{suqpmsutrkb·edkmo&ps{medcfedkUm§¥ s{cKp~ezedz¢zsu¾¤uepzsuedo tros{~}s{kp¤3z&e %!pr `(ª '*),+ , ;-¸±i¸¤utÁoedkUmze!kbtrc-zoed¢bet}s{zs{¤{s{m ze,cftFz d¤{su&pmsutrkÀedm &trknmfprtFqdsu Ä zefp¤{~tros{m_zcfeKs{cwz¤uewedmo&pzsuzeG± -'¥ suz e7emoed¤pms{£edcfedknmKs{cwz¤u/e . s{¤¾¥ p~}s{mze$z X¿bkzs{o¢zkbeK¨¯trkbqdmsutrkzkbed¤{¤ueÇ¢zo-¤y¥³eprqeÇzeK¶dx¸q&_pP¹ukbewbpkb-¤ueztrcKps{kbeze ¤y¥ s{cKp~eɯ dkbedo~}sue Ë»ztrknm`¤uecws{kzs{c ¢zc oedzo edknmeze`mo¢bqdm¢zoe¾s{cwOtrom&pknme·ze¤y¥ s{cKp~e}| z¢zsu%ze¾motr¢z£edo'qe¾cws{kzs{c ¢zcÅF± -AezoedcwsuedocftUzad¤ueÉʤue1 0dkp e2 0¾edm3¤ue%qtrkUmtr¢zoµprqdms°¨© p£eq¤p,¨©troqe p¤{¤utrk Ë»trkUm` dm z X¿bkzsu`¢zo¾¤y¥³eprqeze»qtr¢zoOe¾po&pcf dmo etr¢z£edome`tr¢ ¨©edocf e;¢ ztrcKps{kbewze-¤y¥ s{cKp~eedm ¨yp£trosu*psuedknm!zeqtr¢zoe¤{su&ep¢ kzs{£ep¢Âze~}o&pPx ;suedkUm% d¤ued£ 'ze¾¤y¥ s{cKp~3e + ;;| , ;4-¸±}½¾e3cftFzad¤ue% dm&psuedknmµz dOedkbbpknmµze»¤ppo&pcf dmosu&pmsutrk ze!¤pqtr¢zoe!edm tr¢zop¤{¤{suedoqe,zotrz¤uadcfe}|ze,kbtr¢z£ep¢;º7cftFzad¤ue trkUm dm zotrOt} ´U¢zs dm&psuedkUmKz X¿bkzsufqtrcwcfeÅze ¨©trkbqdmsutrkzkbed¤{¤ueK¢zow¤y¥³eprqe7zefqtr¢zoOef ´n¢zs{£}p¤uedknmefpo q&_pkz~edcfedknmÇze7po&pcf dmosu&pmsutrkA± -AeKqtrkUmtr¢zoprqdms°¨©w~ tFz su´n¢bew¨¯trkUmfpoKeXºzedcwz¤ue pomsuezeqedmmeqpm d~trosu5e + 0| , .-¸±;%¢zsu |Fze¾medocfe· dkbedo~ dmsu´U¢be·¢zo¾¤ue»o d~}sutrkb·trkUm· dm s{kUmotU;¢zs{m bpkb + , ;|g};| 0 , -¸±§Ã%k¡z¤{¢b zewOedocfedmmoeKzewmedkzs{o-qtrcwzmefz¤{¢b,¨yprqds{¤uedcfedknm ze¾zotrzosu dm ·¢zo¾¤ue`o d~}sutrkb`edkz~}¤utr e`po`¤ueqtrknmtr¢zo|zqe¾medocfe·trkUm¾z¤{¢b¾otrz¢bme p¢7zo¢zs{m±. HIHKJLMNO P.
(27) . ·® 8X¬ X¬
(28) 4X¬ d¯ª. ¸i ¤bem%s{kUm doe&pkUm»ze·oedcKpo´U¢bedoµ´U¢be}|rtr¢zo'mtr¢bµqe%cftUzad¤ue |}¤ue'qtrknmo&ps{kUme¾~ trcf Xx mosu´U¢bee'o ;¢zsu&edknm Ä zeqtrkUmo&ps{knme'¢zo3¤y¥³ d¤prmsuqds{m ,ɯedm3po¼¨¯trsu3¤p os{~}su;s{m Ë;¢qtrknmtr¢zo± ½¾ed¤{¤uex¸qdsFcfadkbedkUm Ä ze3¨¯troqeze¾o d~}¢z¤posu&pmsutrkA|¨©trkbqdmsutrkfze»¤pqtr¢zoz¢zoe}|}´U¢zs;pzOtromedknm ¢zkbefs{k;¨¯trocKpmsutrk¡~ dkb do&p¤ue}|bpkb!¤ueKedkb!t ed¤{¤ue-edkbqtr¢zo&p~edknmze!qedoqd¤ue-qtrcwcfefcws°x kzs{cKpv§¥³ dkbedo~}sue}± qedcwcfedknm|z¤{¢bsued¢zo-mo&p£}p¢;ºtrknm dm fcfedkb pP¿bk¡§¥ s{knmotF;¢zs{oe$¢zkbe s{k;¨©trocKpmsutrk~ trcf dmosu´n¢be¾z¤{¢bz dm&ps{¤{¤u e`bpkb3¤uecftFzad¤ue± -Aed£edknmtrk (ª ' ) + }4 -;ems{cfedknm ¤p$¨©trocfewze ¤y¥³tr;¼edm Ä eXº;mo&ps{oe}|§¤poedzo edkUmewpo,¢zkbew;sum&pkbqefs{~}kb ewedm¨©trknm- d£tr¤{¢bedo ¤ueKqtrknmtr¢zo £edo qedmmew¨©trocfeKems{cf eKedm &p7t}s{msutrkA±½»oedcfedo (ª ' )+ , 4 -µcftF;s°¿edknm ¤p ¨©trkbqdmsutrkzkbed¤{¤ueze ¦¢zc¨¯troFx U_p_@pP¿bk §¥ Âs{knmotF;¢zs{oe$¢zkbeKs{k;¨¯trocKpmsutrk@m&pmsumsu´n¢be$¢zo ¤p$¨©trocfefzew¤y¥³tr;edm±Ail¤u¢zms{¤{suedknm-¢zkbewpo&pcf dmosu&pmsutrkDeXºFz¤{suqds{mefzef¤p7qtr¢zoe Ä ¤y¥ psuze ze lz¤{s{kbe 7edmKz X¿bkzsuedkUmK¢zkbeÅ;sumos{z¢zmsutrk ze7zotrpzs{¤{s{m ¦~np¢bsuedkzkbe7Otr¢zoKq_prqd¢zk zeOtrs{knmze-qtrkUm o r¤uew;
(29) ¢ lz¤{s{kb e &± -Aez X¨©trocKpmsutrkb;¢ qtrkUmtr¢zo&trknm,qtrknmo&ps{kUme!p¢ &tr¢b¼x¸eprqe ze¾z X¨©trocKpmsutrkbµOt}s{z¤ue¾trzmedkn¢be±Fpo&p~}sut}¾edm¾ tr¢b&tr k + g , - zotrOt}edkUm ¢zkÀcftFzad¤uew´n¢zs3msuedknm-qtrcwzmewzezotrzosu dm ,¤utUqp¤ue,edm~}¤utrp¤ue!ze ¤y¥³tr;edm Ä z dmeqdmedo± =kÆcftFzad¤ueKzew¤pǨ¯trocfe ªw«¬*©®r¬Xem qtrkbmo¢zs{m Ä poms{o-§¥ ¢zk¡edkb&edc z¤ue§¥ s{cKp~e ± =k qpr;oem&pmsumsu´U¢beÇem-z X¿bkzsp£eq$Otr¢zo s{kbqtrkzkn¢be|¤pŨ¯trocfeedm ¤ue z X¨©trocKpmsutrkbOt}¼x s{z¤ue·zeqedmme¨©trocfe}±zil¤u¾q&_bedoq_bedkUm ¢zkbemo&pkb¼¨©trocKpmsutrk7~}¤utrp¤ue,edm·¢zkbeoedzo edknm&pmsutrk po$qtr¢zoefzeÅkzs{£ep¢;º@´U¢zscKpPº;s{cwsuedknm$¤p zotrpzs{¤{s{m Dª7«;® X¬X¯®r¬X` dm&pknm$ztrkzkb v¤ue cftFzad¤ue$ª «¬*©®r¬XAze!¤p¨©trocfe}±½»_bedk ·(ª ' ) + -3z X¿bkzsu&edknm¢zkbe!¨©trkbqdmsutrkzkbed¤{¤ue-z dOedkbbpknm ;¢K~}o≺suedknm`ze¤y¥ s{cKp~e edm»ze¤p¨©trocfecf t edkzkbeze·¤y¥³tr;edm Ä eXºFmo&ps{oe}6± -Aemedocfe ~ trcf Xx mosu´U¢beª« ¬X¯®r¬Xb d£}p¤{¢be¤p-s{cws{¤pos{m ze¤p!¨¯trocfe;¢qtrkUmtr¢zo·edm¾ze ¤p,¨©trocfezeo X¨© doedkbqe ÉÊcftF;¢z¤ut7¢zkbef q&_bed¤{¤ue}|A¢zkbewotrm&pmsutrkDedm,¢zkbewmo&pkb¤pmsutrk Ë!edkqp¤uqd¢z¤pknm-¢zkbe¨¯trkbqdmsutrk¡ze ;sum&pkbqe edknmoe-¤uezed¢;ºÅpo ¤pwcf dm_btFze ;s{me prm poq&_zs{kz~ ze Fedm_zspk + g}4 -¸±Ã'k;¿bkA| tr¢z¤utrkzkbep¢ `( ª ' ) + , g -z X¿bkzsu&edknm zezeqdos{zmed¢zo ze¨©trocfe Ä ¤y¥ psuze-ze·cftrcfedknmze -ed~edkb;oe7edm-s{kUmotU;¢zsuedkUmw¢zkªK« ¬*©®r¬X'~ trcf dmosu´U¢bebpkb¤ueqpr;oeÇze$qtrkUmtr¢zoKprqdms°¨© zem UOe,o d~}sutrkb|bpo¤y¥ s{knmedocf ;sps{oe §¥ ¢zkbe!;sum&pkbqe!´U¢pr;o&pmsu´U¢be!edknmoe ¤y¥³edkbedc z¤ue-ze cftrcfedkUm ;¢vqtrkUmtr¢zoedm·¤y¥³edkbedc-z¤ue ze cftrcfedknm ze!¤y¥³tr;¼edm zeo X¨© doedkbqe}± Ã%k$o ¢zcf }|U¤ue¾cf dm_btFze`z qdos{me·qds°x¸ze¢b¾tr¢zoo&psuedkUm dmoez X¿bkzsue`ze¤p-cKpkzsuadoe ¢zs{£rpkUme}± Ã%m&pkUm,ztrkzkb -¢zkÀedkbedc-z¤ue §¥³eXºzedcwz¤ueze ¤pf¨©trocfe Ä z dmeqdmedoedm¢zkbe-oedzo Xx &edknm&pmsutrkÀpomsuqd¢z¤{suadoeze ¤pw¨¯trocfe}| ¢zk qedom&ps{k kbtrc zoeze-cftUzeze £rpospmsutrkb¢zo¤p ¨©trocfetrknm·z X¿bkzsu± -'¥³ d£tr¤{¢zmsutrkv;¢Çqtrknmtr¢zoem`p¤utro·qtrkUmo&ps{knme,po`¤p!¨¯trocfecft edkzkbe ze¤y¥³tr;¼edm Ä z dmeqdmedo`edm'¤ue»z X¨©trocKpmsutrkb»t}s{z¤ue'poµo&pzOtrom Ä qedmme·¨©trocfe}±F½¾eµcf Xx m_btFze¾qtrkb;¢zsuedknmps{kbs Ä ¤p-z dmeqdmsutrk§¥ ¢zk m Fepomsuqd¢z¤{suedo`§¥³tr;¼edm`edm¾§¥ ¢zked¢z¤Obpkb ¤ueµs{cKp~e|qe´U¢zszed£Fsuedknm»£Us{me·oemosuqdms°¨¼±Upkbµkbtrmoeqpr|}kbtr¢bµkbe£tr¢b;osutrkbµpr's{knmotx ;¢zs{oe-bpkb ¤uecftFzad¤ueze s{k;¨¯trocKpmsutrkb~ trcf dmosu´U¢bep¢b&sO qds°¿´n¢be |bcKpsuz¤{¢z m rm ze»qtrknmo&ps{kUme¾´U¢zsz X¿bkzsu&edknmµ¢zkbe qd¤pre·z¤{¢bµ~ dkb do&p¤ue ze·¨©trocfe'pom&p~epkUm»¢zkbe qedo¼x m&ps{kbe»oeedc-z¤pkbqeµ~ trcf dmosu´U¢be}±½¾trkbsuz dotrkb|PpoeXºzedcwz¤ue}| ¤ueo ep¢;º!otr¢zmsuedo±²tr¢b 4H.
(30) ®y®F¬
(31) ¯ `¬r¬«X¬* F¬ ;. bk e Otr¢z£trkb,kzs'z X¿bkzs{o,¢zkbe ¨©trocfecft edkzkbe}|§kzs%¢zkÆqedom&ps{kÂkbtrc-zoefzewz X¨¯trocKpmsutrkb Ä poms{o¾zeqedmme·¨©trocfecft edkzkbe}±Uil¤u%zo edkUmedknm·qedOedkbbpknm`zeµs{cws{¤pos{m »~ trcf dmosu´n¢be ¨©trome .z¤ue trozzeotr¢zmetrkUm po&p¤{¤uad¤ueedmzo edkUmedknm¢zkbe qtr¢zoz¢zoe ¨©ps{z¤ue &p¢;¨µp¢ kzs{£ep¢ÈzeKqpooeX¨¯tr¢zo±µ½¥³emfqeÇ m Fe7zeÇ~ trcf dmosueªÇ« ¬X¯®r¬X»´U¢beÇkbtr¢bftr¢z_ps{medosutrkb s{kUmotU;¢zs{oe-bpkb·¤ue,cftFzad¤ue}± ¿bkzevcftUz d¤{su&edoKqeÅm UOeÅzevqtrkUmo&ps{knme~ trcf dmosu´U¢be|µkbtr¢bKs{knmotF;¢zsutrkb$¢zkbe kbtr¢z£ed¤{¤ue,qd¤pr&ezeqtrkUmtr¢zoprqdms°¨©± -p-z¤{¢zpom ze`cftFzad¤ue`s{knmotF;¢zs{m ¢b&´n¢A¥ Ä zo edkUm Oed¢z£edknm dmoeKz X¿bkzsu qtrcwcfeK¢zkbeK dkbedo~}sueK¤{s{kb ps{oe$¢zo ¤y¥³eprqe$ze , x¸q&_pP¹ukbe|q}¥³em¼x Ä x ;s{oe¦¤ue dkbedo~}sueÇed¢z£edkUmÇ ¥³eXºFzos{cfedo Ä ¤y¥ psuzeÀ§¥ ¢zkbe ed¢z¤uevs{kUm d~}o&p¤ue¢zoK¤ue qtrknmtr¢zo± ²tr¢bµz X¿bkzsu&trkbµze»qtrknmtr¢zo·prqdms°¨¯»§¥³tro;oe ¢zO dosued¢zo¾p£eq ze» dkbedo~}sue»´U¢pr;o&pmsu´n¢be ¢zof¤y¥³eprqevze , x¸q_pP¹ukbe±»Ã%kYeXÁ§edm|%¤ue$ dkbedo~}sueK¤{s{kb ps{oe$kbe7Oed¢z£edknmKpr$s{cwOt}edo ze¡qtrknmo&ps{kUmeÂqtrcwz¤ueXº;eÀ¢zo¦¤p@~ trcf dmosueD;¢ qtrknmtr¢zo± =k eXºzedcwz¤ue¡qd¤pr&su´n¢beze qtrkUmo&ps{knme-~ trcf dmosu´n¢be$ª,«¬*©®r¬X s{cwOt} e,em·¤p¤utrkz~}¢bed¢zoze,¤pqtr¢zo/e .
(32) . t oedzo edknme¤ue£eqdmed¢zo`m&pkz~edknm Ä ¤p-qtr¢zoep¢trs{kUm| noedzo edknme¤p kbtrocfe edm!¤y¥ pbqdsu&e!qd¢zo£Fs{¤{s{~}kbe}±-p ¨©troqe!z dos{£ e!ze,qedmme! dkbedo~}sue-¥³ qdos{m . "#$%'&)($ * + t,($»oedzo edkUme ¤pKqtr¢zoz¢zoe p¢ÅOtrs{knm§¥ pbqdsue!edm * $»¤ue!£eqdmed¢zo¢zkzs{m&ps{oe kbtro¼x cKp¤'eXº;m dosued¢zo edk-n ±A½¾edmme¨©troqewqtrknmo&ps{knm ¤uewqtrknmtr¢zo Ä medkb; oew£edo,¢zkÆqedoqd¤ue}|z¢zsu Ä. ; supo&pP¹umoe}±z½¾trcwcfemtr¢zme¾¤ue»¨©troqe¾z dos{£ e·§¥ ¢zkbe dkbedo~}sue¤{s{kb ps{oe}|;ed¤{¤ueem»¤utFqp¤ueedm pzOtromeztrkbq¢zkbes{k;¨©trocKpmsutrk7Otrkbqdm¢bed¤{¤ue}±8-Ae`t}&s{zs{¤{s{m `zecftFz d¤{su&pmsutrk7trkUm p¤utro o ;¢zs{me ± ¢wqtrkUmo&ps{oe}|¤ue' dkbedo~}sue»´n¢pr;o&pmsu´U¢be'edknmo&pP¹ukbedkUm¾ze3¨©troqe%kbtrk;xy¤utFqp¤ueµ´U¢zs £trkUmOedocfedmmoe!ze,cftFz d¤{suedoze·s{knmedo&prqdmsutrkbkbtrk7mos{£Fsp¤ue edkUmoe,¤ue;s°Á§ doedknmOtrs{knm ;¢ÅqtrkUmtr¢zo± Ftr¢z¤{s{~}kbtrkbqededkbbpkUm ´n¢be¤ue dkbedo~}sue¤{s{kb ps{oe·oemedkUmmoa·s{cwOtrom&pknme edm·Oed¢z£edknm dmoe!qtrkbsuz do eqtrcwcfe,¢zkvqpr·pomsuqd¢z¤{suedoze dkbedo~}sue ´U¢pr;o&pmsu´n¢be ± tr¢zo¤pwcws{kzs{cwsu*pmsutrkÀze-¤y¥³ dkbedo~}sue}| ¢zkbe pzzotFq_be;s{oeqdme ze-zeqedkUme-ze-~}o≺suedknm Oed¢zm dmoe¢zms{¤{su e}|zcKpsu¤ue·¤{s{cws{m&pmsutrkb edk7medocfezepo&pcf dmosu&pmsutrk¦edmq&_pkz~edcfedknm ze¦mtrOtr¤utr~}suevkbtr¢bÇtrknmÇqtrkb;¢zs{m Ä prztrzmedo¤pcf dm_btUztr¤utr~}sue poÇqtr¢zoeÇze¦kzs{£ep¢A| s{kUmotU;¢zs{me$po ._bedo-edm Fedm_zspk bpkb
(33) + .4-¸±3½¾edmmepzzotUq&_bepv dm fmoa-¢zms{¤{su e$edm-ze kbtrc-zoed¢;ºKp¤{~tros{m_zcfe'trknmµ dm `z d£ed¤utrzO 'bpkb'qe·qpr;oe}±}²tr¢b£edootrkb'qedOedkbbpknmµ´U¢be ¤y¥ s{kUmotU;¢bqdmsutrk ze¨¯troqe·kbtrk7¤utFqp¤ue`kbtr¢btrz¤{s{~edkUm Ä prbpzmedo qedom&ps{kbeze·meq&_zkzsu´n¢be m&pkbbpo7¢zms{¤{su eOtr¢zo·¤y¥³ d£tr¤{¢zmsutrk¦;¢¦qtrknmtr¢zo± tr¢zos{¤{¤{¢bmoedo ¤ue!trmedkUmsued¤3ze!qedmme kbtr¢z£ed¤{¤ue-qd¤pr&e!ze qtrkUmtr¢zoprqdms°¨©|zkbtr¢bp£trkb q&_btrsusze7z dmeqdmedof¤ueo ep¢;º@zeǤ{s{kb dsu´U¢befbpkbw¤ues{cKp~efzeÇm d¤u z dmeqdmsutrkA±`½¾edmme HIHKJLMNO P.
(34) ·® 8X¬ X¬
(35) 4X¬ d¯ª .. p zz¤{suqpmsutrkÈem-¢zkDzotrz¤uadcfeÇmoa;s Kqds{¤ue7edk¡o&psutrk@ze$¤p¦~}o&pkbze$£}pospzs{¤{s{m Çzemed¤u o &ep¢;ºO±%½¾ededkbbpkUm|3s{¤¾¥ s{kb&qdos{m-mtrm&p¤uedcfedkUmfbpkb-kbtrmoeÇqpr;oezeKmo&p£rps{¤`z¢zsu´U¢be$¤ue o &ep¢;ºDzo edkUmedknmzewoeedc-z¤pkbqeK~ trcf dmosu´U¢beK&pkbftr¢zoKp¢zm&pkUmftr¢z£trs{odmoe z X¿bkzsu po·¢zkbe¨©trocfe,cft edkzkbe}± #" 5Ç %
(36) #'- % = %
(37) 9+, 0 0`+,- %
(38) -Aewz¢zm-zeKqewmo&p£}ps{¤»em!zeKz dmeqdmedo-¢zktr¢z¤{¢bsued¢zo tr;edm ¢zo ¢zkbews{cKp~e} ± =kbe ¨yp trkǧ¥ wpo£edkzs{o`em»zez X¿bkzs{o`zeµ¨©trkbqdmsutrkzkbed¤{¤ue·¢zo¾ze¾tr¢b¼x¸edkb&edc z¤ue·ze¤y¥ s{cKp~e ztrkUm,¤ue,cws{kzs{cKpÇqtrooeOtrkbzedknmp¢;º tr;edm!´n¢be ¤y¥³trkÆtr¢z_ps{meKz dmeqdmedo±AÃ%kÂzo&pmsu´U¢be}| kbtr¢bkbtr¢b's{knm doetrkb Ä ¢zkw m Fe¾pomsuqd¢z¤{suedoµze·tr¢bx¸edkbedc z¤ue .¤ue%q_pP¹ukbeµz X¿bkzsueµ¢zo ¤uewztrcKps{kbewze¤y¥ s{cKp~e}|zewqtU;s{cfedkbsutrkD$tr¢ , ±§Ã'kÂpomsuqd¢z¤{suedo|Akbtr¢b,qtrkbsuz dotrkb ¤ue ¨©trkbqdmsutrkzkbed¤{¤ue z X¿bkzsue-¢zo!zew¶dx¸q&_pP¹ukbe!¨©edocf e edkÆzed¢;ºÂ;s{cfedkbsutrkb±pkb!¢zkÂzoeXx cwsuedo¾medcwb|Ukbtr¢b¾po¤utrkb¾ze»¨©trkbqdmsutrkzkbed¤{¤ue`¤{s{kb ps{oe·´n¢zstrknm`qd¤prsu´U¢bedcfedknm`¢zms{¤{su e bpkbµ¤ueqpr;oe ze»qtrknmtr¢zo`prqdms°¨¯ |}z¢zsu'kbtr¢b¾ptroztrkbµ¤ue%¨©trkbqdmsutrkzkbed¤{¤ue»´U¢pr;o&pmsu´n¢be | mtrm&p¤uedcfedkUmkbt£}pmosuqe| edm´U¢zs¤psuedkUmeO doedoze!cfeds{¤{¤ued¢zoet}&s{zs{¤{s{m ze cftUz d¤{su*pPx msutrkA± . . .
(39) . . "!
(40) ! "#!
(41)
(42) $&%' ( ". = kbe¨©trkbqdmsutrkbed¤{¤ueK¢zo zew¶dx¸q_pP¹ukbeem-;s{mew¤{s{kb ps{oeKsy|OOtr¢zo!¢zkbe$qtrc zs{kpsutrk¡¤{s°x kb ps{oe,ztrkzkb e ze-¶dx¸q&_pP¹ukbe r|U¤p £}p¤ued¢zoze¤p-¨¯trkbqdmsutrkbed¤{¤ue em·ztrkzkb e,po·¤p c dcfe qtrc zs{kpsutrk¦¤{s{kb ps{oe ze·£}p¤ued¢zozezed¢;ºÅq_pP¹ukbe2. % É , ±, Ë pkb-kbtrmoeÇqpr|Akbtr¢btrcwcfe ed¢z¤uedcfedkUm s{kUm doe po ¤pÅ~ trcf dmosueÇze$¤y¥ s{cKp~e ze¦¶dx¸q_pP¹ukbevedmKkbtr¢b£tr¢z¤utrkbÇs{cwt}&edo Ä ¤y¥³ dkbedo~}sue §¥ dmoe¦s{kn£}pospknmeÀ¤utro&´n¢be em oedcwz ¤prq eKpo |§t ,em,¢zk;s°ÁO trcftroz_zsucfe P±½¾trkbsuz dotrkb ¢zkÆ&tr¢b¼x¸edkbedc z¤ue ze edm¢zkbepzz¤{suqpmsutrk zs eqdms{£#e ,±Ã%m&pkUm,ztrkzkb -¢zkbe-cf dmosu´U¢be Åedm¢zkbe pzz¤{suqpmsutrk $¢zo ,|rkbtr¢b%Otr¢z£trkb'z X¿bkzs{o%¤p¨¯trkbqdmsutrkbed¤{¤ue ¤{s{kb ps{oe¢zs{£}pknme·¢zo%¤y¥³eprqe ze!¶dx¸q_pP¹ukbe´n¢zs§zo edo£e!¤y¥ s{kn£}pospkbqe!£tr¢z¤{¢be!Otr¢zo·¤y¥³ dkbedo~}sue/. É , ± Ë *). ). 54. 9:. ,+ -/.. ,+ -0.. 1). 64. '7. <;"=. BA. ,+ 2-3.. +,>. 8. @?. 8. DCFEHGHIFJ'KML. PRQRS. 98. 5NOA. J,TVUXW YZ\[]Z_^ `baVUdce[]fTgf hidjRceceflklmlfcon'p JVfqj_`b`birUdhjsn UdZJutVU vwfMhxn UryOfqTVf hidjRcecef. fcon jRpbceceUHTVf. klm. J. TVZ zn{idj. ^ YMhxUd`g^ Zz|}pbf. hxi~j_cecefklm Q. 4H.
(43) ®y®F¬
(44) ¯ `¬r¬«X¬* F¬ /. t # e m3¤y¥³tr do&pmed¢zo'ze¾mo&pkbOtrom3z X¿bkzs;po w|$ !em¤p cf dmosu´n¢be¾s{kb;¢zs{me`po ¢zo edm em ¤y¥³tr do&pmed¢zo dmtrs{¤ue zetU;~e!pr&tUqdsu }± UsA¤y¥³trkvqtrkbsuzadoe ¢zkbe!qtUtroztrkzkb e ¦¢zo |bqedm me!eXº;zoesutrkÅzed£Fsuedknm .
(45) É , ± gË t oedzo edkUme!¤pkbtrocfe!;¢v£eqdmed¢z o Kbpkb ¤p cf dmosu´n¢be ± = k eXº;edcwz¤ue s{cwz¤ue ze!¨©trkbqdmsutrkzkbed¤{¤ue ¤{s{kb ps{oe em ¤pK¤utrkz~}¢bed¢zoze-¤pKq&_pP¹ukbe}|Oz X¿bkzsue po . É , ± 0UË = kbep¢zmoet}s{zs{¤{s{m Otr¢zo¾qdo edo`¢zkbe¨©trkbqdmsutrkzkbed¤{¤ue¤{s{kb ps{oezo &edo£rpkUm¾¤y¥ s{kU£rpospkbqe ze¤y¥³ dkbedo~}sue-em§¥ s{knm d~}oedo¢zkbew¶dx©¨©trocfe!¢zo¤p¶dx¸q&_pP¹ukbe/. É , ± Ë -'¥ ps{oe,ze¤y¥ s{knm dosued¢zo §¥ ¢zkbe , x¸q&_pP¹ukbe!em`¢zk7eXº;edcwz¤ue,ze¨©trkbqdmsutrkzkbed¤{¤ue,¤{s{kb ps{oe,ze,qe m UOeXxy¤ Ä . ¶
(46) # É , ± Ë t
(47) ± -pz¤{¢zpomµze%cftFzad¤ue%zotrOt} O¼¢b´U¢A¥ Ä zo edknmµbpkb'¤ueqpr;oe·ze'qtrknmtr¢zo`prqdms°¨© Oed¢z£edknm dmoewz qdos{m!po!ze¨¯trkbqdmsutrkzkbed¤{¤ue ¤{s{kb ps{oe±§¿bkÆze OedocfedmmoefzecftFz d¤{s°x *pmsutrkbz¤{¢b,qtrcwz¤ueXºze|kbtrm&pcwcfedknm,Otr¢zo¤y¥ s{knmotF;¢bqdmsutrkÆzeqtrknmo&ps{knme kbtrk;xymos{£Usp¤ue ¢zo»¤p ¨©trocfe,;¢ÇqtrkUmtr¢zo|;kbtr¢b`kbtr¢b`s{knm doe&trkb Ä zeµ¨©trkbqdmsutrkzkbed¤{¤ue´U¢pr;o&pmsu´n¢be ¢zo ¤y¥³eprqe!zeq_pP¹ukbe ± =. +. N ?. N. K L. IFJ. *=. +. L A. L. @?. E G. C. N. C. E G. D4. . ! , x¸q&_pP¹ukbe edm $ . . "!
(48) ! ". %. " # . ( %{ . ". ¾½ trkbsuz dotrkb,zed¢;º bpkb ,± ²tr¢btr¢z£trkb,z X¿bkzs{o¤ued¢zozotF;¢zs{m| &%'$ |z¢zkbe x¸q&_pP¹ukbe-bpkb ±b3tr¢zo¤ue!qprt ,|bqedmme-qtrkbmo¢bqdmsutrkÀztrkzkbe ¤y¥ pzz¤{suqpmsutrk (
(49) ) |3t*)
(50) em-¤ue xymtroe}±²tr¢bwp£trkbwztrkbq ¢zkbe$pzz¤{suqpmsutr'k % #+ !,
(51) *+ ! + &|t'+.- 0/ em!¤y¥³eprqeKze zx¸q_pP¹ukbe ¢zo¤p¡£}posu dm1 /± =kbev¨©trkbqdmsutrkzkbed¤{¤ue¤{s{kb ps{oe¢zo2+ Kzed£Fsuedknm7¢zkbe¦¨¯trkbqdmsutrkzkbed¤{¤ue zs{¤{s{kb ps{oeÇ¢z3o + !
(52) 4+ !po qedmmeqtrkbmo¢bqdmsutrkA±3powz X¿bkzs{msutrkA|3¢zkbefmed¤{¤ueK¨©trkbqXx msutrkzkbed¤{¤ue¦zs{¤{s{kb ps{oeÀemK¢zkbev¨©trkbqdmsutrkzkbed¤{¤ue ´U¢pr;o&pmsu´U¢be¦¢zo+ !p£eq¦¤y¥ pzz¤{suqpmsutrk @8. 8. >. ;. ;. '+ 8. ;. 8. =. '+ 8. >. +. /=. +]>. =. 8. +. 8. 8. '+ 8. '+ 8. '+ 8. HIHKJLMNO P.
(53) ,. . ·® 8X¬ X¬
(54) 4X¬ d¯ª. &±s{kbsy|zOtr¢zoqtrkbmo¢zs{oe ¢zkbe,¨©trkbqdmsutrkzkbed¤{¤ue-´U¢pPx ;o&pmsu´U¢bew¢zo¤y¥³eprqewzew¶dx¸q&_pP¹ukbe ¢zo ,|kbtr¢b!zed£trkb qtrkbmo¢zs{oe¢zkbe ¨¯trkbqdmsutrkzkbed¤{¤ue ¤{s{kb ps{oe¢zo ¤y¥³eprqeze x¸q&_pP¹ukbewbpkb ±i¸¤ pvedkbqtroezed¢;ºcKpkzsuadoeze z X¿bkzs{o zemed¤{¤ue,¨¯trkbqdmsutrkzkbed¤{¤ue±Ã%m&pknm-ztrkzkb w¢zkbewcf dmosu´U¢befedm,¢zkbeKpzz¤{suqpmsutrk¢zo |Okbtr¢b Otr¢z£trkbz X¿bkzs{o¢zkbe ¨©trkbqdmsutrkzkbed¤{¤ue ¢zoze x¸q_pP¹ukb e,qtrcwcfebpkb¤y¥³ ´n¢pmsutrk@É , ± Ë tr¢ p¤utro |;kbtr¢bOtr¢z£trkbz X¿bkzs{o ¢zkbe x©¨©trocfe "2¢zo |zedm z X¿bkzs{o . + ! + 8. >. + !
(55) + ! + 8. + 8. >. . ;. @8. 8. 58. ,8. É , ± ;}Ë s{~}kzs°¿ew´U¢befqedmme ¨©trkbqdmsutrkzkbed¤{¤uefOed¢zm,mtr¢r¼tr¢zo -pÇmo¢bqdm¢zoefzotF;¢zs{m!ze
(56) edm) qtrcwcf/e . dmoe qdos{me!edk7medocfe zeqtFtroztrkzkb e µ¢zo) É , ± .Ë "## ) t Aem¤ue`£eqdmed¢zo%m&pkz~edknm¾edk Ä |redm "# &|rOtr¢zomtr¢zm |}em ¢zkbecKpmosuqe}±½¾edmmecKpmosuqeedocfedm`zetrkbz doedo`¤ue»s{knmedo&prqdmsutrkbedkUmoe,zed¢;ºKtrs{kUm`ze ¤p7¶dx¸q_pP¹ukbe §¥ pb&qdsue edm ±-Ae!q_btrs°ºÅze,¤p x©¨¯trocfe "2emmoa·s{cwOtrom&pknmz¢zsu´U¢A¥ s{¤ Oedocfedm'ze·z X¿bkzs{o'¤ue`m UOe·§¥ s{knmedo&prqdmsutrkedknmoe·¤ue%Otrs{knm ± -'¥ s{knmotF;¢bqdmsutrk$ze·qe' dkbedo~}sue tÁOoe,ze·OedoOeqdms{£e zecftFz d¤{su&pmsutrk¦§¥ ¢zkbe,~ trcf dmosue ;¢vqtrknmtr¢zoz¤{¢bqtrcwz¤ueXº;e}± #" )&! 4 4 . = kbe¨©trsuA¤y¥³ dkbedo~}sue»;¢ cftFzad¤ue'z X¿bkzsue}|Ps{¤nemAkb qe*ps{oeµze%¤p`cws{kzs{cwsu&edo±r½¾edmme» dkbedo~}sue ´U¢be!kbtr¢bzed£trkbcws{kzs{cwsuedo¥³eXºFzos{cfe-;s{oeqdmedcfedknm!edkv¨¯trkbqdmsutrkÀ;¢¦qtrkUmtr¢zo9± -p¨yp trk ¤pvz¤{¢b kpm¢zoed¤{¤ueÇtr¢zo-¨yps{oe$ d£tr¤{¢bedo¤ueÇqtrknmtr¢zowedo&ps{mwztrkbqǧ¥ ¢zms{¤{suedo¢zk p¤{~tros{m_zcfe zeÇm UOe7zeqedkUmevzeÇ~}o≺suedknm±`½¾ededkbbpkUm|µqe7m UOe7§¥ p¤{~tros{m_zcfeÅzo &edknmevqedom&ps{kbe ¤{s{cws{m&pmsutrkb ±µil¤¾kbeÅ~adoe7prKp¢zmtrcKpmsu´U¢bedcfedknm¤uefq_pkz~edcfedkUmzeÅmtrtr¤utr~}su/e .%s{¤edo&p s{cwOt}s{z¤ueze z dmeqdmedo`z¤{¢bsued¢zo¾tr;¼edm»z¢zsu´U¢be¤p!mtrtr¤utr~}sueze ¤p qtr¢zoes{kzs{msp¤ueedo&p ¤p7c dcfef´n¢beKqed¤{¤uefzew¤p7qtr¢zoOe¿bkp¤ue}|Ao ;¢zsu*pknm ps{kbs'¤p7z dmeqdmsutrk Ä ¢zked¢z¤'tr;edm± il¤zo edknme d~np¤uedcfedknm¦zeÅzotrz¤uadcfeÅzeÀpo&pcf dmosu&pmsutrkA± ²tr¢bvp£trkbÅztrkbqÆq_btrsus §¥ ¢zms{¤{su&edo¤pcf dm_btFztr¤utr~}sueÂzeqtr¢zoOeÇzevkzs{£ep¢;º zotrt}& $po ._bedoÇedm Fedm_zspk bpkb5 + .4-¸±A½¾edmme cf dm_btFztr¤utr~}sueedocfedm,ze¢zs{£Foe ¤y¥³ d£tr¤{¢zmsutrkÆze ¤pqtr¢zoeedmzotrOt}e ze`tr¤{¢zmsutrkbp¢;º$zotrz¤uadcfe· d£tU´U¢b `qds°x¸ze¢b±F,pkb·qedmme pomsue}|;kbtr¢b¾o&pzOed¤utrkb`¤ue zos{kbqds{Oeµze»qtr¢zoe»ze·kzs{£ep¢A|z¢zsuµkbtr¢b'z qdos{£trkb¾qedom&ps{kb¾p¤{~tros{m_zcfe¾z d£ed¤utrz bpkb¤ue,qpr;oe,ze,qedmme,cf dm_btUze}±Ã%k;¿bkA|zkbtr¢bz qdos{£trkb|edkÅz dm&ps{¤y|;¤ue,qp¤uqd¢z¤ze`¨©troqe z dos{£ eze,qe,kbtr¢z£ep¢Åm UOe!§¥³ dkbedo~}sue}± . C. .
(57) " N. C. 8. . 4H.
(58) ®y®F¬
(59) ¯ `¬r¬«X¬* F¬
(60) . . . . . (]. 3 %. ,,. . ¾½ trkbsuz dotrkbw¢zkbeÇqtr¢zoe$¨©edocf e ±3²tr¢b£tr¢z¤utrkbw dm¢b;suedoftrk d£tr¤{¢zmsutrkA|¾qtrkbsuz do&pkUmÇ´U¢A¥³ed¤{¤uev&e7zotrp~e¦&ed¤utrk¤pÆ;s{oeqdmsutrk kbtrocKp¤ue eXºFm dosued¢zoe p¢ qtrkUmtr¢zo " ± -'¥ suz ewze¤p$cf dm_btFztr¤utr~}suewpo,qtr¢zoewze kzs{£ep¢emze-¨yps{oe d£tr¤{¢bedo!¤ue qtrkUmtr¢zo Ä mo&p£edo¢zkbe ¨©trkbqdmsutrk ze ;s{cfedkbsutrk¢zO dosued¢zoe ± -pf¨©trkbqdmsutrk Àemz X¿bkzsue qtrcwcfe dm&pknm ¤p;sum&pkbqe!s{~}kb e Ä ¤pwqtr¢zoOe /. É , ± /Ë t emµ¤p ;sum&pkbqe;¢KOtrs{kn%m ;¢$z¤pk Ä ¤p-qtr¢zoO!e }|edm¾¤ue s{~}kbe z¤{¢bÉÊcftrs{kbXË emq&_btrsus!ed¤utrk´n¢be ¤ue Otrs{knm e motr¢z£e Ä ¤y¥ s{kUm dosued¢zo¡É¯eXº;m dosued¢zo*ËÇze ±`s{kbs¤p ¨©trkbqdmsutrkÅs{kzs{msp¤ue &pmsu¨©ps{m·¤p zotrzosu dm -¢zs{£rpkUm/e . $ % % É , ± , Ë -Ae z¢zmemze zotF;¢zs{oe ¢zkbe- ´U¢pmsutrk´n¢zs3z qdos{m¤y¥³ d£tr¤{¢zmsutrkÀze ¤pw¨¯trkbqdmsutrk &± -e`cftr¢z£edcfedknm»ze # emµp¤utro'qed¤{¢zsb;¢wkzs{£ep¢ dot!ze &±}²trmtrkb §¤pz dos{£ e pomsued¤{¤ue ze vpoo&pztromp¢7medcwb±b²tr¢b·tr¢z£trkb qdos{o/e . # - É , ± ,, Ë ½¾trcwcfe-¤p$qtr¢zoOe &e zotrp~eed¤utrkÀ&p$;s{oeqdmsutrk kbtrocKp¤uefp£eq ¤pf£Fs{mee "f|kbtr¢b p£trkb " * t ¤ue'£eqdmed¢zokbtrocKp¤;eXºFm dosued¢zo Ä ¤p qtr¢zoe * emztrkzkb µpo * & ± Ã'k;¿bkA|zkbtr¢b trzmedkbtrkb ¤y¥³ ´n¢pmsutrkv§¥³ d£tr¤{¢zmsutrk ¢zs{£}pknme,Otr¢zo . . +. ;=. >. 8. :. .
(61). . . . . . . . . . 5>. ; :. . . :. . . . . . . . ,+. J. +. . . . !". . . ). J$# &% '(% . . -*). ) . J$# &% '(% . ) . -/. 0 0 -1.. . 2 . . . &. 43". . & ". ". "3". " ". *. . &. 15 6 87. . . % 6. É , ± , Ë 5. ½¥³em·¤y¥³ ´n¢pmsutrk ze,qtr¢zoe ze,kzs{£ep¢Ås{knmotF;¢zs{me!po ._bedoedm Fedm_zspkvbpkb + .-¸± edcKpo´U¢btrkb¤p;¢p¤{s{m `edkUmoe`¤ue%qtrknmtr¢zoµprqdms°¨©´n¢zs;¢zms{¤{suedkUm%¢zkbe¾ d£tr¤{¢zmsutrkfze¾m UOe ze&qedknme`zeµ~}o≺suedkUm'edm¢zkbe¾cf dm_btFztr¤utr~}sue`po3qtr¢zoOezeµkzs{£ep¢A± UsF¤y¥³trkqtrkbsuzadoe¾¢zkbe qtr¢zoOe ´U¢zsA d£tr¤{¢be p£eq,¢zkbe£Us{me&ekbtrocKp¤ue `|;¤y¥³ ´n¢pmsutrk §¥³ d£tr¤{¢zmsutrkv¥³ qdos{m "3 * ± -'¥³ ´U¢pmsutrk §¥³ d£tr¤{¢zmsutrk edk!medocfeµze%¤p`¨¯trkbqdmsutrk qtr¢zoeze%kzs{£ep¢-qtrooeOtrkbbpknme ¥³ qdos{mµs{cwz¤uedcfedknm " <± -p,£Us{me&e "em%s{kzs{msp¤uedcfedkUm¾z X¿bkzsue·Otr¢zo'¤ue%Otrs{knm ;¢Dqtrknmtr¢zowq}¥³em¼x Ä x¸;s{oeÇ;¢kzs{£ep¢ dot É ËX± .k¡ed¢zm mtr¢r¼tr¢zo z X¿bkzs{o ¢zkbe eXº;zoesutrkYzeŤp ¨©troqeÅOtr¢zof¤ue$p¢zmoe$Otrs{knm;¢YztrcKps{kbevqtrkbsuz do&pknmÇ´n¢be¦q_pr´U¢be "+. + . +. J. hZ VceUdTVY^ Yf. J. J. HIHKJLMNO P. hxZ\[][]fqp. . ". 9. J J. J. J. :. >}Q@? j,`g^ Z\`bjBAOjsn UrZ 9Tbj Vcqidj,TVUX^ fMhxn UrZ @n
(62) j CA\f }n Urfirirf F ne^ f. +. J. J. J. =. <;. JVf. J. h aj DA\f`j_cqidjEA\YZR[]Yne^ Urf. J. h aj DA\f[]f }nTVf `bj_^
(63) jR[]Yxne^ Udc jsn UrZ. Q. J. TVp@hxZ }n Z\pg^ fnq` fpVn.
(64) ,. ·® 8X¬ X¬
(65) 4X¬ d¯ª. q tr¢zoOeÀzevkzs{£ep¢ d£tr¤{¢beÀze cKpkzsuadoeÂs{cws{¤ps{oe}±`il¤emÇztrkbqÀOt}s{z¤ue zev~ dkb do&p¤{suedo ¤y¥³ ´U¢pmsutrk¡É , ± , ˾Otr¢zomtr¢b·¤uetrs{kUm± e-kbtrc zoed¢;ºÆp¤{~tros{m_zcfe!trkUm dm z d£ed¤utrzO tr¢zo¤pKcf dm_btUztr¤utr~}suepo,qtr¢zoOe ze kzs{£ep¢A|Oedk¦pomsuqd¢z¤{suedoOtr¢zoqp¤uqd¢z¤uedo¤ue!cftr¢z£edcfedkUm!;¢v¨¯otrknmze cKpkzsuadoe-o&pzsuzeedm zo qdsu&e}±b²tr¢bp¤{¤utrkbedkÅzo edkUmedoqedom&ps{kb bpkb¤pzotUq&_ps{kbe,pomsue ze,qe!o&pztrom± . !( e. . $. !
(66) ]$. %'. ! 3. ! ' %. ( . . ". . ( ]. 3 %. . IÐ bÓ Ê;Ð&%ÊÎ$# -p7zoedcwsuadoeÇ dm&pOefOtr¢zo ¤y¥³ d£tr¤{¢zmsutrk@;¢DqtrkUmtr¢zo qtrkbsume Ä s{kzs{msp¤{suedo ¤pǨ©trkbqdmsutrk ze$qtr¢zoezefkzs{£ep¢ $ ,qtrcwcfeK¤pv;sum&pkbqes{~}kb e$p¢ qtrknmtr¢zo# }± =kbeÅcf dm_btFze¦o&pzsuze §¥ s{kzs{msp¤{su*pmsutrkA|¾;s{me¦¤pcf dm_btUze prm poq&_zs{kz~&|·pÆ dm ¦zotx Ot} ewbpkb + g};|g} -¸±½¾edmmefcf dm_btFzewOedocfedm zefqp¤uqd¢z¤uedo-¤uewcftr¢z£edcfedknmze¤p7qtr¢zoOe ¤utro&´n¢be·¤p!£Us{me&e "emµmtr¢rtr¢zo'Ot}s{ms{£e tr¢$kb d~npms{£e}±U3tr¢zo»¤y¥ s{kzs{m&p¤{su*pmsutrkze |nkbtr¢b qtrkbsuz dotrkbf¢zkbeÅqtr¢zoOe7´n¢zs d£tr¤{¢be p£eq7¢zkbeÅ£Us{me&eqtrkbm&pknme " ¶|z¢zsu$p£eq ¢zkbe£Fs{meeqtrkbm&pknme " '&,¶± -'¥³ ´U¢pmsutrkÅzeqtr¢zoezekzs{£ep¢Åemp¤utro`mo&pkb¼¨©trocf e edk ¢zkbe ´n¢pmsutrkÂm&pmsutrkzkps{oe}|§q}¥³em¼x Ä x¸;s{oe ´U¢zs3kbe z dOedkb¦prze ± ²trmtrkb ) ·¤ue medcwbp¢b´U¢bed¤O¤p qtr¢zoOemo&p£edoe¤uezs°ºzed%¤ &± )oedzo edkUme, d~np¤uedcfedknm¤ue¾£}p¤ued¢zo`ze ¤p-¨©trkbqdmsutrkvze!;sum&pkbqe!s{~}kb e 8± -'¥³ d£tr¤{¢zmsutrkÀze ) »emztrkzkb e,po . ) # ) (¶ ) " ϶ É , ± , gË " ) $϶ .k$oedcKpo´U¢be,´n¢be¤y¥ s{k;¨©trocKpmsutrkÉʤue medcwb·§¥ poos{£ e¢zo¾¢zkÇzs°º;ed¤I˵ezotrp~e,bpkb ¢zkbe$ed¢z¤ue;s{oeqdmsutrkA|3q}¥³em¼x Ä x¸;s{oe$ze-edms{me £}p¤ued¢zo-ze )?p¢;ºÆz¤{¢b ~}o&pkbze £}p¤ued¢zo± s{kbsy|Ptrk Oed¢zmo tr¢b;oe»¤y¥³ ´U¢pmsutrk edk qtrkbmo¢zsu&pknm¤p tr¤{¢zmsutrk Ä poms{o3ze»¤p·z¤{¢bOedms{me £}p¤ued¢zoze )-± -'¥ p¤{~tros{m_zcfe·em3oedkb;¢-z¤{¢b3o&pzsuze`edkqtrk;¿bkpknm¤p trkbe`ze¾qtrkbmo¢bqdmsutrk Ä ¢zkbe!pkbze! dmotrs{me p¢zmtr¢zo;¢Ç¨¯otrknm± Î # / 4 # ) # /) Ð P9Î %Ð ) " A&Ð %¯5Ó %Ê ;&Ð %Ê$ -'¥³ d£rp¤{¢pmsutrk¡ze¤pf¨©trkbqdmsutrkÆzewqtr¢zoOewze-kzs{£ep¢¡¢zomtr¢zm,¤ue ztrcKps{kbeKze¤y¥ s{cKp~e Otr¢zo»q&_pr´n¢be dm&pOeze medcwb`emµmoa`qt zmed¢beedk$medcwb`zeqp¤uqd¢z¤y± -µ¥ ¢zms{¤{su&pmsutrk7§¥ ¢zkbe ·pkbzeÃ%motrs{m e Çp¦ dm zotrt}& $bpkb + g} -pP¿bk ze$¤{s{cws{medo¤ue$qp¤uqd¢z¤·ze$¤p7¨©trkbqdmsutrk ze qtr¢zoOeze kzs{£ep¢A±½¾trcwcfekbtr¢b`trcwcfe`zos{kbqds{p¤uedcfedkUms{knm doe& `po`¤y¥³ d£tr¤{¢zmsutrkÅ;¢ ¨¯otrknm|kbtr¢b%tr¢z£trkb» d£rp¤{¢bedo'&ed¢z¤uedcfedknmµ¤ue'£rp¤ued¢zo»ze`¤p¨¯trkbqdmsutrkKze qtr¢zoe'zekzs{£ep¢ zoa;¢-¨ÊotrkUm± -e£}p¤ued¢zo´n¢zs;ztrs{£edknm dmoe¾ d£rp¤{¢b ee»oedmotr¢z£edknmµps{kbsFbpkb3¢zkbe»pkbze #4% &% 5%. . =. . . . . -. . . <;. <;. <;. . . . . 0. -. -. 0. .
(67) . .
(68). . . 4H.
(69) ®y®F¬
(70) ¯ `¬r¬«X¬* F¬. g ,. dmotrs{me·p¢zmtr¢zo';¢ ¨¯otrknm±¢pkb¤ue»¨ÊotrkUm&eµo&pzzotFq_be;¢Otro-ze¾¤ppkbze}|r¤ue¾qp¤uqd¢z¤bem mtrz !edm·¢zkbe kbtr¢z£ed¤{¤ue!pkbze!em qtrkbmo¢zs{me}± -pcf dm_btUze-qtrkbsume!ztrkbq edkŤpOtr¢bqd¤ue ¢zs{£rpkUm/e . -'¥³edkbedc-z¤ue¾ze3Otrs{knm%pzpomedkpknm Ä ¤p·pkbze` dmotrs{me¾trknm3cKpo´n¢b ·<ª ¯ X±r½¾edmme pkbzefem!qtrkbmo¢zs{meKze ¨©p trk Ä qew´U¢be¤ue ¨ÊotrkUmKɯq}¥³em¼x Ä x¸;s{oef¤uewqtrkUmtr¢zo!s{knmsp¤IË trs{medkvtrkÅqedkUmoe edmed¤{¤ue p ¢zkbe!¤po~ed¢zo z X¿bkzsu3e }± po´U¢bedo`¤ue`trs{kUm`zotUq&_be·ze`troz·qtrcwcfeze»«;® ª Pª $ ¾tr¢zo`s{kb;su´U¢bedo ¤ue·Otroz± i¸kzs{msp¤{su&edo¤ue·Otrs{knm eXº;m dosued¢zo Ä ¤p pkbze-qtrcwcfe! dm&pknmzezs°ºzed¤u '{®r 9X± tr¢b;oe¤y¥³ ´U¢pmsutrk@zeqtr¢zoOeÇzekzs{£ep¢À ¢b´U¢A¥ Ä qe´U¢be$¤ue$kzs{£ep¢ dotÀze qtrs{kbqdsuze-p£eq,¢zkÇ«;® ª Pª $ d± eqtrkbmo¢zs{oe!¤ppkbze! dmotrs{me!edmoedmtr¢zokbedop¢vz dz¢zm ze,¤p Otr¢bqd¤ue}± -'¥ p¤{~tros{m_zcfe `pkbze-Ã%motrs{m e -em ep¢bqtr¢z¦z¤{¢b o&pzsuze-´n¢A¥ ¢zkbe pzzotUq&_be-t ¦¤y¥³trk qp¤uqd¢z¤ue!¤ue·£rp¤ued¢zoze¤p ¨©trkbqdmsutrkvedkÅq_pr´U¢be,Otrs{knmze¤y¥ s{cKp~e}± = k9p¢zmoeÀp¤{~tros{m_zcfe kbtrcwcf edocfa pÆ dm ¦zotrOt} vpoÇpo&p~}sut}7edmedosuq_be bpkb + /-¸±il¤b¥ s{kbzs{oezeµcf dm_btUze»ze·¤p ·pkbzeÃ%motrs{m e edmµ;¢ prm Àpoq_zs{kz~ Otr¢zo qp¤uqd¢z¤uedo¤y¥³ d£tr¤{¢zmsutrk ;¢Å¨ÊotrkUm± -'¥ suz e-em ze¨yps{oe! d£tr¤{¢bedo ¤ue,¨ÊotrkUm´U¢zsp¤pz¤{¢b ~}o&pkbze £Fs{mee Ä q&_pr´n¢be dm&pOe ¤utFqp¤uedcfedknmp¢kzs{£ep¢7;¢$zs°ºzed¤y6± -e ~nps{kÇedk$medcwb`zeqp¤uqd¢z¤§em s{cwOtrom&pknm·cKpsu¾¤y¥ _ UOtrm_bae´n¢be¤ue¾£Us{me&e¾kbetrkUm`pr`pPÁ§eqdm e`po¾¢zkÇq&_pkz~edcfedknm ¤utFqp¤A;¢7¨¯otrknm em·kb qe&ps{oe}± 6 %5#4%I&Ð % b5Ó %Ê ;&Ð %Ê$Î # -po ds{kzs{msp¤{su&pmsutrk¡em,¢zkbew dm&pewmoas{cwOtrom&pknme$ze¤y¥³ d£tr¤{¢zmsutrkA ± -'¥ suz eKze¤po Xx s{kzs{msp¤{su*pmsutrk em-zeKmtrzedo ¤ueKqp¤uqd¢z¤·zef¤pŨ©trkbqdmsutrkDqtr¢zoOe$zeKkzs{£ep¢ Ä ¢zk qedom&ps{k cftrcfedkUm,edmze oeqtrkbmo¢zs{oeqedmme-zedokzsuadoeqtrcwcfe dm&pknm¤pK;sum&pkbqe-s{~}kb ep¢ kzs{£ep¢ dotz±i¸¤ Çpz¤{¢bsued¢zoo&psu&trkbze£tr¢z¤utrs{o¨yps{oe,qedmme! dm&pOe!zeo ds{kzs{msp¤{su&pmsutrk . %oedcwsuadoedcfedknm|¤utrozeµ¤y¥ ¢zms{¤{su&pmsutrkwzeµ¤p `pkbze`Ã%motrs{m e &|rsU¤ue%¨¯otrknme'o&pzzotFq_be motrw;¢ Otrozeµ¤ppkbze}|s{¤zem3kb qe&ps{oe`ze`mtrzedo¤ue¾qp¤uqd¢z¤bedm%zeµoeqtrkbmo¢zs{oe ¢zkbe,kbtr¢z£ed¤{¤ue ·pkbze!Ã%motrs{m e &± ed¢;ºFsuadcfedcfedkUm|Fs¤y¥³trkK¢zms{¤{su&e¢zkbe£Fs{mee´n¢zskbe qtrkbedo£eprµ¤p ;sum&pkbqe s{~}kb e ¤utro´U¢be`¤p¨¯trkbqdmsutrk$qtr¢zoeze`kzs{£ep¢$ d£tr¤{¢be}|ntrkfztrs{m'o ds{kzs{msp¤{suedo»¤p¨¯trkbqdmsutrkpP¿bk §¥³ d£Us{medozeqtr¢zoezekzs{£ep¢ÅmotrÅo&pzzotFq_b etr¢ÅmotrÅ d¤utrs{~}kb e± . . . . . . . HIHKJLMNO P.
(71) ·® 8X¬ X¬
Documents relatifs
Cette approche a l’avantage d’induire directement, et de façon transitoire (pendant 7 à 10 jours), l’expression dans l’épithé- lium pulmonaire et alvéolaire de cette
Florence CARRÉ ~ Réoccupations funéraires de sépultures collectives néolithiques dans la boucle du
2 Vue plus en détails dans le chapitre 1... 2 phénomène d’agrégation des protéines amyloïdes en fibres et d’autres facteurs impor- tants doivent être pris en compte comme
In this chapter, we prove an a posteriori error estimates for the generalized overlapping domain decomposition method with Dirichlet boundary conditions on the boundaries for
Revue française d’héraldique et de sigillographie – Études en ligne – 2020-10 © Société française d’héraldique et de sigillographie, Paris,
Dans ce cas, comme les coulées du Bras de Sainte-Suzanne appartiennent au massif de La Montagne daté à plus de 2 Ma (McDougall, 1971), l’ensemble des coulées pahoehoe
In infantile Pompe disease patients, the glycogen storage diffusely affects brainstem motor and sensory neurons, and the whole spinal cord sensory neurons, interneurons, and
De ce point de vue, il est possible d’affirmer que la mission est accomplie : les projets de renouvellement urbain (GPV et ORU) élaborés depuis 1998 dans une centaine de villes
