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Definition of a 4D Continuous Polar Transformation for the Tracking and the Analysis of LV Motion

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(1)Definition of a 4D Continuous Polar Transformation for the Tracking and the Analysis of LV Motion Jérôme Declerck, Jacques Feldmar, Nicholas Ayache. To cite this version: Jérôme Declerck, Jacques Feldmar, Nicholas Ayache. Definition of a 4D Continuous Polar Transformation for the Tracking and the Analysis of LV Motion. RR-3039, INRIA. 1996. �inria-00073654�. HAL Id: inria-00073654 https://hal.inria.fr/inria-00073654 Submitted on 24 May 2006. 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..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion Je´roˆme Declerck, Jacques Feldmar, Nicholas Ayache. N˚ 3039 Novembre 1996 THE`ME 3. ISSN 0249-6399. apport de recherche.

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(92)  ó $qt}­klace mre sumre$n‡]spñ½òEicsudŠq¿n(ñ×s  ¾s#~ve|um‚ee ó 5&( qt}klave5i;ˆcd6•?emŽs"o suiWklmrs(ñQ‡?spq¿iWkr}s"klace  xj}‚‡vñtqtice'‡?emq¿sE~vqto5oˆcm”ue'sה(npmqÓn(•vñ¿% e  ó @  npm‚e krace  x¸}r‡vñ½qtice6•n(}‚qt}  ˆcico krqtsuic}5n(}r}rsEo q¿n(kre~äkls2no ñÓnp}‚}‚qto=n(ñ#mre |uˆvñ¿npm‚ñ½òÛ~vq¿}klmq¿•cˆÙkle~  1 xj‡?emq¿sE~vqto }‚e kŒsQ 1Eivspkl } ?@%@BUó 5 q¿}klaceiEˆvd6•?emCs5osuiWklm‚spñ†‡]spqtiWkl}s5klave  x¸}r‡vñ½q¿iveäoˆcm”ueäs 5”(npm‚q¿np•vñte yó @  npm‚eklave  x¸}r‡vñ½qticeʕn(}‚qt}  ˆcico krqtsuic}np}r}‚sÙo qÓn(kre~wkls¾n$o ñ¿np}r}q¿on(ñ]mre|pˆvñÓn(m‚ñ½ò~Ùq¿}klm‚qt•cˆvkre~C}‚e ks 1;icspkr}{;klavqt} •n(}‚qt}Œonpiە]e ‡?em‚qtsE~vq¿o sum­ivspk=ó `ace2spm‚qt|pq¿icn(ñtq½kjòÔskracekrmlnpiv} sum‚dn%krqtsuiÒqt}$qtiÒkrace0Gn(o k$klan(k$klaveo suiWkrqtiEˆÙqtkjòænpic~҇]spkreiWkrq¿n(ñ½ñtò klave‡?emq¿sE~vqto q½kjòÛqtikrqtdwe$q¿}†n „anpm‚~ o suic}‚krmln(qtiWk=ó Òe$o=npi _b ` 6 _Ge  _ œ

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(110) î œ f"ê  u _ºœ ê C _ î c   `ace$omqtkrem‚qtsuie*هcmre }r}‚e~ 5­qtkra  n(}Œkrace eˆco ñtqt~ce=n(iä~vqt}‚kzn(icoe$q¿i‡vñÓn(ivq¿}‚‡cace m‚qto6osEsum‚~vq¿icn(kle }Œqt} ;ˆnŸx ~cmrn(krqtowqtiÍklacewosuiWkrmrspñÁ‡?spqti;kr}      ó2ð†q 0·e mreiWk‚qÓn(k‚q¿iv|Úqt8k 5­q½klaÒmre}‚‡]e o kkls      |pq½”ue }¾nñtqtice=n(m }‚òE}kl/ ed5 5Žav q¿ozaÍ5'qt}'( }r5'spñ½% ”ue ~  5­q½klaÔ n5 o ñ¿np}r}q¿on(ñÁospipƒ„ˆc|Wn(kre¾|umrnp~vqteiWk de klavsÙ~Qó6`aceŠ}‚q :esÁkraceŠdwn(klmq * qt} 8  2 2 óMhji Gnpo k={cklave ñ½qtice=npmŽ}òÙ}kle d o=npiە]e }‚‡vñtq½kŒq¿ik 5sqtic~ce‡?eiv~ceiWk }rˆv•c}‚òE}‚kred}{]suice sum ={    {   {  n(ic~klace spkracem4 sum  Ênpic~  ó #$-,2 . )0 &

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