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De la correlation d'images numériques à l'identification de champs de propriétés

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(1)De la correlation d’images numériques à l’identification de champs de propriétés Damien Claire, François Hild, Stéphane Roux. To cite this version: Damien Claire, François Hild, Stéphane Roux. De la correlation d’images numériques à l’identification de champs de propriétés. Bulletin de la Societe Francaise de Physique, 2003, 139, pp.29-31. �hal00002926�. HAL Id: hal-00002926 https://hal.archives-ouvertes.fr/hal-00002926 Submitted on 21 Sep 2004. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(59) —Žl¢t —™vˆ À •‚€‚ U½&k•Å†Ev„ˆ €‡†˜—™v„o ƒ l¢l„vËkm•‚l„tY‘&€–•§ ˜½Ð½Ð—™—™ E‘’€‡†EƒU€‡¼J¤.‘’v—™o>€1½&½Ðkmv„ „ƒUš!À t&v„km†˜oY†Ekm oy†$‘YoÃtYv¤Ó‘’ †E‘’kmƒ •‚•‡v„½Yƒ$ƒE—Žv„lU†$n’vmƒEv„š †˜v—™oȑ’ƒU†˜ $vÀ ¤¥ƒU½&‘Y »l¢†EƒŽ‘’v„ˆvv‘’•º¡É ú voŸoƘƒU½Ðv”v‘’v¢†{¡Ž½kmv„ˆ•‡ƒU—m€‡ƒUv »o&l¢ƒvÃv„Ä mv„v„ƒ† kkmÁ l„¼J•‚kƑrv„ˆ ÀMƒU€‡ƒkml•ºnY¾Î€‚€‚o’o’¤¥v—mƒUt®ÀM¾Øvk E†E E€‡km—™€o'€–ÀMoŸ†˜kmvoY•‚•–¼J€‡Òm‘YvkmoŸoy†˜†˜vTvM¼ytY‘Ykm€ŠoY §J€‡•‡vv o&½Yo’ƒUv՗Jl¢kv½Y E½& U‘Y•‚€– §¼y‘’t›v„¾Îƒ€‚t’v•–kÆoy†E ˜€‡Ö&—™•‚l„•‚k€–l„†E€‡€‚†E—™ko@†E€‡tY—™voË §‘’½Y†EƒE€–—m•‡v#½Yƒ½Ð€v„ˆ—™†y‘’vˆ ƒ ƒEvln’v„ƒUlnrv„ˆ v „É Y ?Z[ ³  ±¸· . ÚªÅÛÐtYsÐvÉYi

(60) ÀMkm•‚k•‡—Ž†Jv„lUˆ ƒUn›€‚šŽkmÊ2‘’¡ ɎÊ1 ˜‘’—™ƒU•‚€–vt’€‚ Ev ˜ v€ª¡ß$v„‘’††Eü €‚•‚É?€– E\-k†E€‚€‡•‚—™t›o0šy¨jtYt›v¾ØoŸv†E U€‡ EÖPkml„€‚ k†E€‡v„—™† out’t’v§v À l„—Jkmt›•‚l„vÁ ‘Y•‚v•‚ 

(61) šMt’v§]_l¢^`b—™adÀ c ½Ð—mƒE†˜<gv^+À hivoy^k† j >,e/>f l > :+m%6njo< > c?hqpdr;r$óԞ¯m¯™ž™ô ~mŒ)hºYÉ Ú؞)ÛPü Ê1sɀ‚ E½&\-•‚km€‚•‚l¢t›v9š À t-voyÉ»†@x!ü‹,k €‡vkŽ•–t8šfÕf vsÉ kmt E‘’kmƒU‘Yvt’À vv¼JoŸ‘Y†E€‚ 'o®šu—m¤»s<É.i —™x À —™‘Ž½Y¡ÌƒUv Ev„ ˜†Ãvt8ü f É €‚ioYkmv„ƒUoykm†˜•2v•‚km“#‘’—y£Ð—™vm•+šusŽf{kmÀM‘Y•‡½&†E€‡•‡hjvsŽ {l„km£y•‡Þ v Ê1t-É®€‡Ò™“Õ€‚†Ekmk•rҙoY¨©ÀMvmšBks<Òmv{É®x!i —™—m‘ŽƒU¡#ƒEvv„•‚k††E€‡ü —™JÉo›\-š2uv€‚•‚t›8n8š­e/sJwy½Ðx vl¢8 †˜joƒU<okm`•\hsz{}½Y½YƒU|J—™p*kmlUóÔn՞¯m†˜¯™—{ž™ô+Ê-€–Œm ˜|Ž½&•‚km})l¢hRŒmv|mÀ žmv|JoyÉr†¦Bp¸—™€‡ƒMkm•‚km‘&‘&k E†E E€‡—™€o ß üYƒE—™À ¨©ÀMkÒmv-oYkm•‡ÞŽ E€‚ „š ~U : w4€ ad'h wD‚w u € p?ƒ#óԞ¯m¯™ž™ôžd „ÏhRžm}mžJÉ ÚØ~)ÛPÊ2ÀMÉrvkmi E‘’•–kmƒE€‡vƒEÀ vmš‹vüroy†E2É „\-9š €‚† •‚tTv„†s<ÉB^‰x `‰—™6,‘’c¡<<oŠkš‹?¨©^Œt’v‹oŸ‹;†Er€‚Ö&l„óÔkž†E¯m€‡¯™—™ž™o[ô —m„¤-žmt&œ)kmŽh „ÀM~k’ÒmÉv»¦BÖY—™v€‚ƒ •‚tYkm ‘Y‘Y E U E€‚€2o’ Òß Ê2Ž€‚É-o’viÀ+•–kmk€‡†EƒE€‚vml š wO‡OwOˆ .

(62) Ðvs ˆ •‚É®km Ex †E—™€‚¼y‘Ž‘Y¡'v !v„†•‡—Žü l„kmÉJ•‡\-v €‚•‚½&t›kš<ƒ!¨jtYkmvo&oŸkm†E•‡€‡ÞJÖP El„vk†Et’€‡vŠ—™oÕlUn&t’kmvMÀ l¢½&—™ „oYš t&‘Yl¢^k†E` €‡Ž€‡†yc_vˆ ’ §†EóÔn’žv„¯mƒU¯™ÀMž™ô

(63) €–¼ykm‘’l„vl¢ 1v„½Yv„†J†dvmˆ t’É v ½YƒE—m½Yƒ€v„ˆ †yvˆ ˆ w4‘ w. “.

(64) ”¹  ² ´ ZR• ¹–­¶\³ .  Ô• ¾Î€–½YÀM½&kkÒmƒUv.€‚vÀ t v„ˆ v¤¥oŸ—m†dƒUÀ[t›v„¾Îˆ ‘Yvmo’ɸv+e­v»€–ÀMtrkvˆ Òml„v„km†˜•‚†˜kvÒmv»tYkm—mo&£&  ˜v„•ÔƒE¾Î€‚\À+v»ˆ kl¢Òm—mv+ƒEƒEt’vvM ˜½ÐƒŽ—™v„ˆ oY¤v„ˆt[ƒEvkmoY‘$l¢vumvv„l¢†d†˜vtY‘’kmƒ o&  t v„ˆ ½&•–kml¢vÀ voŸ†-tYkmoY •‚v§ƒEv„½›v„Á ƒEvt’vŠ•–k l„kmÀTv„ˆ ƒUkŽÉ ž p¸kÁ ˆ ½Y•º¾ÎƒEkm—™€‚‘’t’mv v„t’†˜†˜vMvM¼Jv‘Yo#k†˜l¢ƒEƒUvM—™€ª\¡Èv„ˆ v„ƒUˆ €‚†EoY€‡ƒŽ §v„ˆ vt’vMtYkm•–k»oY §ÀMt’kmvlU‘ŽnY¡@€–o’tYvM€‡ƒEÀdvl¢‘&†E•‡€‡†E—™€‚ko&¡’ €‚km½Ð•‡v„v ƒE½Ð1vsŽoYg!t&€‚x l„‘Yp¸ˆ •‚pËkm€‡ƒUv„v† ù„ÀM—™€–o’l¢v2ƒE—™l¢ ˜v†˜oŸƒU‘Y†˜ƒl¢km†E•‡‘YvŠƒEv§v ˜tY†!‘ÀMl¢v—™ EÀM‘’ƒŽ½<v§ˆ —™½& U€‡k†˜ƒ!v{l¢v„ˆ —m†E‘YƒUƒJtYvˆ €Å•‚vmˆkÉY†E€‡e®—™v§o lt®nY¾Îkm€‚ÀMÀ k½Òmt’v !v§oJt ‘Yv„ˆ ½&À[•‚v„kmˆ ƒUl¢€–v¼yÀM‘’vv oŸÉ † t’v§•‚k ~ ½&ikn&ƒ2kmÀ l¢—m½@ƒEƒŽtYvˆ •‚vdk†Et €‡v„—™ˆ ½&oT•‚kmt›l¢¾Îv€‚ÀMÀMkvÒmoŸv†§ dt’oyv2‘&•‚ÀTkMv„ù„ˆ ƒU—™€‚o’¼Jv‘’vl¢ §voy½Ð†˜—™ƒU‘’kmƒŠ•‡v ‘Yt’o#vdv¢•ÔÇоjv„ˆ —m½YƒEƒUR† —™‘’K—mv„L †˜†˜vMm% À Jvq E‘’ƒŽv ˆ ½YƒU—Jln’vt’vŠ•‚k ƒ‘’½Y†E‘’ƒEvmÉ  •Ôi¾jv„ˆn&½YkmƒUÀ —™‘’½&m §v„†˜l„†˜kmv •‚l„½Ð‘Y—™•Åvˆ‘’ ƒ-t’l„v €–oYÀ ¼»—JoYt&€‡m‘Yv•‡vkm ‘Ž¡ vˆ •‚kmt® ˜¾Ø†Ev¢€‚Ç<¼J—m‘’ƒEv†EN §T l¢ƒU—™t’€‚v E Ekm•‚k.oy†Eù„ 2—™o’óoT™v+˜dl¢vl¢oy—m†˜ƒUƒUƒEkmv•‡ ˜vM½Ð—™t’oYv t km‘{À —Jt&‘Y•‡v vˆ •‚km ˜†E€‚¼J‘’vŠtY‘À+k†yv„ˆ ƒ€‚km‘ Ekm€–oPôÉ. š. œ „¯ m ž.

(65) image de référence. image déformée. ü‹t v„€‡ˆ Ғ¤¥—mÉ ƒUÀ[Ɋv„ˆ vmɒ½Ye®½&v!kt ƒU€‡vˆvl„ÀMkm•–vkoŸÒm†'v-t›—m£P¾Î‘Y ˜o’v„ƒEv$\v-€‚ˆ ÀMl¢—mkƒEÒmƒEv„v†˜ ˜†˜½ÐvƗ™oYt&t+kmoYkm '‘M•Ôm¾Î€‚vÀMl¢†˜kvÒm‘’vƒ

(66) t t’v„v$ˆ ½&ƒŽ•‚kmv„ˆ l¢¤v„vˆ ƒUÀMvoYvoŸl¢vƆ tYv„km†ÕoYtY ¸km•‚v oY 'ƒEv„½®•Ô¾Îv„€–Á ÀMƒEv-kt’Òmvv •‚k l„kmÀ[v„ˆ ƒkŽÉ. ›.

(67) Zone centrale de l'éprouvette. Caméra CCD. œ. 500 m. ‹ü¼J‘Y€‡Ò’kÉP†˜ƒEžJv É p\\ˆ v„½Yˆ ƒƒE€‚—™oY‘Y §mt’v„v †˜†˜•‚vŠk.vÀMo kml¢lUƒEn&—™€‚€‡o’¡*v v„ˆ †EÀd€‡ƒŽ‘&v„ˆ •‡v †E€‚tYk¡’kmoY€‚km

(68) •‡vdt’v§‘’sŽ¡ug tYx €‚ƒEp¸ˆvp¿l¢†E€‡v„—™†ŠoY ÀM½Ð€–l¢v„ƒEƒE—™½Ð ˜v†˜oYƒU‘YtYl¢€–l„†E‘Y‘Y•‚ƒEkmv2€‡ƒEt&v‘@ 1kMÁl¢—™•ÔÀM¾Îkm€‚½<tY—™vŠ U€‡t’†˜vv v„t›ˆ †E¾Î‘Y€–ÀMt&€kvmˆ Òmɸv e®v oJ‘YlÀTnYkmv„ˆ À ƒU€‚¼J½*‘’tYv „vÉ trv„ˆ ½&•‚kml¢vÀ voy†t’v•–k'ù„—™o’v l¢voy†˜ƒUkm•‡vv ˜†À v E‘’ƒŽvˆ ½Pkƒ+l¢—mƒEƒŽvˆ •‚k†E€‡—™o. õž.

(69) ü‹l¢—m€‡Ò’ƒEƒŽÉ§vˆ •–~Jkɧ†E€‡i

(70) —™o nYkmt›À ¾Î€–ÀM½8kt’ÒmvTv t oJv„ˆ ‘Y½&ÀT•–kmv„l¢ˆ ƒUv€‚À ¼J‘’voŸv

(71) †#½Ðt’—™v[‘’ƒ •‚k ‘Youù„—™v¢o’ÇÐv[—mƒEl¢†ŸvoyKM†˜ƒUL8km•‡v$mOt’Žv$qȕԾR½&v„ˆ ½YƒE—JƒE—™ln’‘’vŠmv„t’†˜v†˜v•–k À ƒUv‘’ U½Y‘’†EƒJ‘’vTˆ ƒUvm½PÉ kƒ. õŽõ.

(72) ‹½Ðü —™€‡Ò’‘’Éyƒ[’É’l„€‚ioYn&¼8kmÀ oY€‡½&m ¸vkml„‘Žkm¡Â•–l„‘Yt›•v¾Øˆ v¢ ÇÐt’—mvƒE†EÀ $—Žl¢tYƒE‘Y—™€‚•‚ Uv E 2kmvˆoŸ•‚†Ekm ¿ ˜†E€‚óo¼JT ‘’˜ v .l¢T8—mƒEƒEt’vv ˜½Ð•‚k—™oYù„t—™o’v1km‘ l¢voŸÀM†˜—JƒUkmtY•‚‘&v-•‡vt’v-vˆ •Ô•‚¾Rkmv„ˆ ˜½Y†EƒE€‚—™¼J‘’‘’mv”v„†˜tY†˜‘v ÀMk†Jv„ˆ ƒU€–km‘ Ekm€‚o<ôÉ. õn.

(73)

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