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Image-Based Rendering by Joint View Triangulation

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(1)Image-Based Rendering by Joint View Triangulation Maxime Lhuillier, Long Quan. To cite this version: Maxime Lhuillier, Long Quan. Image-Based Rendering by Joint View Triangulation. IEEE Transactions on Circuits and Systems for Video Technology, Institute of Electrical and Electronics Engineers, 2003, 13, pp.1051-1063. �hal-00118513�. HAL Id: hal-00118513 https://hal.archives-ouvertes.fr/hal-00118513 Submitted on 5 Dec 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..

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(23)  . Ürut‰ 

(24)  . Ür†pÌzeŽt‰rȀÌw2w‰1”/ru‚sv5‹ 

(25)  . *v2z†”/w3 žpÌze” }ˆ‚s€ "0@ " ` Ð tw2}ˆ{e‹˜Lzep  !r†t^‰  . !ru€!‚s‹w¯€”/r†ŒŒˆw2€Ì‚!€}%2w¯ žzep¿‰}€Ìv2pÌw‚swÃg &‰}€Ìšqr†p}‚„ƒË{†psr†‰}ˆw2tœ‚ÈŒˆ}”}ˆ‚2–ŠY‹w ”¯ru‚v5‹-v•r†t^‰}‰qr΂sw2€j žz†p  ÅpÌw2€ÌšO– . Ür†pÌw ×}ˆ‚‹}t‚‹w$ @  ž˜Œ“ruv5£ žpr†”/w‰ *vw2tœ‚swpw2‰ru‚  . ÅpÌw2€š – (–. . . . . .  \ Žv5‹¯r’”/ru‚v5‹$tw2}ˆ{e‹˜Lzep̋z z‡‰Èwt^ žzepÌv2w2€<‚‹wjv2z†t‚}tŽ}‚„ƒÈv2z†t€Ì‚psr†}ˆt‚<r†t‰r‰}€Ìšqr†pÌ}ˆ‚„ƒÉ{epsru‰}wt‚QŒ}”}ˆ‚ z† [zetwDš} ‡wŒ› žzep4‚s‹^w’”¯r΂sv5‹}ˆt{¿pÌw2€ÌŽŒˆ‚2–<ŠY‹w3”/ru‚sv5‹^}t{¿v2p}‚swp}z†t¯}€ €Ì‚}ŒˆŒ‚s‹w Om’lYlæv2zepÌpwŒ“ru‚}zet€vzepw ˜Ž^‚ ×}ˆ‚‹}tr$€Ì”¯r†ŒˆŒwpܘœƒ-‹qr†Œ ")@9" ×}t‰^z n‚‹w2pÌw žzepÌw’‚s‹ w ¢ År΂‚swt}t^ { r†p̂}ˆ År†v"‚s€Yr΂j‚s‹wz v2vŒŽ‰}ˆt{ v2zetœ‚sz†Žp€r†pÌwɌˆ}”}ˆ‚w2‰O–. . . o }tqr†ŒˆŒˆƒ†n r†‰^‰}ˆ‚}zetqruŒÖ”/ru‚v5‹w2€}ˆt‚s‹w$t^w2}{†‹ ˜›zep̋z‡z ‰Jz† 4‚‹wÈv2Ž^ppwtœ‚¿€Ìw2w‰ šr†}prupw$r†‰^‰w2‰ €}ˆ”ÈŽŒÀ`  ‚5r†twzeŽ€ÌŒˆƒ/}t¯‚‹w”¯r΂sv5‹Œˆ}€Ì‚jr†t‰‚‹w’€ww2‰Œ}ˆ€Ì‚Ü€Žv5‹-‚s‹ru‚j‚s‹^w’”¯r΂sv5‹-Œ}ˆ€Ì‚*}€Yr¿zetw"` ‚szu`™zetw’”/ru‚v5‹}t{^– ŠY‹wÉr†Œ{ez†p}ˆ‚‹” ‚sw2p̔/}ˆtqru‚w2€ ׋wt‹w€w2w‰Œˆ}€Ì‚j˜Lwv2ze”w2€×w2”š^‚„ƒ†–. Š ‹^}€<r†Œˆ{ezepÌ}ˆ‚s‹^”8}€Ðw ;v2}wtœ‚sŒˆƒ¿}”šŒˆw2”w2tœ‚sw‰ ×}ˆ‚‹$r’‹w2r†š$‰qru‚sr3€Ì‚pŽv"‚sŽpÌwj žzep‚‹wj€ww2‰Œ}ˆ€Ì‚2–Ðmz†‚s}ˆv2w Y ‚s‹qru‚3r†€Dw•r†v5‹‚}”wzetŒˆƒ-‚‹w!˜›w2€¢‚’”/ru‚sv5‹1}€€wŒw2v"‚sw‰OnL‚‹}€‰psru€Ì‚s}ˆv•r†ŒˆŒˆƒ-Œˆ}”}ˆ‚€Ü‚s‹w¿šLz†€€}ˆ˜}Œˆ}ˆ‚„ƒ-zu Q˜qr†‰ ”¯ru‚v5‹w2€–Boqzep!}ˆt€Ì‚sr†tvw†nЂ‹w€ww2‰Ô€wŒwv‚s}ˆzet¸€¢‚sw2šÿ€Ìw2w”/€!~†w2p¢ƒ¸€}ˆ”/}ˆŒ“r†p’‚zJ”/r†tœƒØw ‡}€Ì‚}t{”/w"‚s‹z ‰€ ‡n Q žzep’”/ru‚sv5‹^}t{š›ze}ˆt‚€’z† }tœ‚w2pw€Ì‚Ž€Ì}t{-vzeppÌw2Œru‚s}ˆzetOn›˜Ž^‚‚s‹^wÈv2p̎v2}r†ŒQ‰} wpw2t^v2w$}€‚s‹qr΂ Üw tw2w‰ z†tŒˆƒÃ‚szv5‹z ze€wȂ‹w$”ze€Ì‚pÌw2Œˆ}“r†˜Œˆw¿z†tw2€psr΂s‹wp3‚s‹qrut ‚p̃ }t^{‚sz-”/ru‚sv5‹ r-”/r ‡}”ÈŽ” z† 4‚‹w2”Ö „t¸€ze”w¯w  ‚spw”/w¯v•r†€Ìw2€2n4zet^Œˆƒ zetw¯{ez‡z ‰Ë”/ru‚v5‹¸z† ך›ze}tœ‚s€Éz† ×}ˆt‚w2pÌw2€Ì‚È}€!€ÌŽ.;v2}ˆw2tœ‚È‚szšpz‘~ez†£†wr†t r‘~ur†Œr†tv5‹wz† ‚s‹w ׋zeŒˆw‚sw  ‚Žpw‰J}”/r†{ew€2– ŠY‹}€×”/r†£†w€DzeŽ^pDruŒ{ezepÌ}ˆ‚‹”

(26) ”!Žv5‹Œˆw2€€×~ ŽŒt^w2psru˜Œwu–ÜŠY‹w €sr†”wY}€Ð‚pŽwY žzepКpzešr†{œru‚}zetOnu‚s‹wYpÌ}€£¿z† L˜qr†‰špz†šqr†{œru‚}zet!}€<v2z†t€}ˆ‰w2pr†˜Œˆƒ¿‰}ˆ”/}ˆt}€Ì‹w2‰$˜œƒÈ‚‹wY˜Lw€Ì‚ 1qp€¢‚D€¢‚spru‚sw{†ƒ-z‘~ewp3r†ŒˆŒ ”/ru‚sv5‹^w2‰Ã˜LzeŽ^t‰qr†p¢ƒ-šLz†}tœ‚s€–. .    . . . . . . . .  >, Åòïó)eì ì ó& ò Öì  *<ìñ

(27) Öñ·ì9*Öñ·ð= +žì  ‹w2t‚s‹ww ^r†”/š^Œw2€×rupwp}ˆ{e}‰¯€v2wtw2€nq‚s‹ww2š^}š›zu` Œ“r†pD{ew2ze”w‚p̃w2tvz‡‰w‰Ø˜œƒJ‚‹wÈ žŽt‰r†”/wtœ‚5r†ŒQ”/ru‚p} 1}ˆ€}tœ‚sw{epsru‚w2‰Bw2r†€}ˆŒˆƒ1}tJ‚s‹^w$špzešr†{œru‚}zetB€¢‚sw2š. . . ˜ƒ@‚s‹wBwš}š›zeŒ“rup¯v2z†t€Ì‚psr†}ˆtw2‰ špz†šqr†{œru‚}zet –êŠY‹}ˆ€-”¯r΂sp} æ}ˆ€ 1qp̀̂Ãw2€¢‚s}”/ru‚w2‰Spz†˜Ž€Ì‚Œˆƒï žpze” Žtv2z†t€Ì‚psr†}ˆtw2‰Ãšpz†šqr†{œru‚}zet-pÌw2€ÌŽŒˆ‚ —g >nqzepj žpz†”

(28) ‚s‹^wɀÌw2w‰€wŒwv‚s}ˆzetÃpw2€ÌŽŒˆ‚ 5 >–.  . . . ‚s‹w. ] zepw*‰w‚sr†}Œˆ€Ðr†˜›zeŽ^‚Ö‚s‹^w2€wܔ¯ru‚v5‹}t^{3€Ì‚w2š€Qr†pw {e}ˆ~†w2tÈ}ˆt —g " >n†}ˆtv2ŒˆŽ‰}t^{D‰w"‚5r†}ˆŒ€Özet!˜›z†‚‹Èp}ˆ{e}‰Ér†t‰ à tzet‡`™p}{†}‰!€Ìv2wtw2€– ™‚4}ˆ€<špz†šLze€Ìw2‰}t —g " ^‚s‹qru‚Qšpzešr†{œru‚}zet Ür†Œ£¿r†t‰”/ru‚sv5‹^}t{r†Œˆzet{w‰{ew2€<}ˆt€š}‚sw z† O‚s‹^wr†š›w2p̂ŽpwDšpz†˜Œw” ˜›w’ruŒŒz *w2‰O–  ‹w2t‚‹w3š›w2p̀š›w2v‚}ˆ~†w’‰}€¢‚szep¢‚s}ˆzet¯}ˆ€*”z‡‰^w2psr΂sw†n‚s‹^w3‰}ˆ€Ì‚5rutv2w r†Œzet^{‚‹ww2‰{†w2€3vz‘~ew2pÌw2‰J˜œƒ-‚‹w¿š^pzešqru{œru‚s}ˆzet}€Y€Ì}”}Œ“rupÜ}t؛z†‚s‹Ã}”/r†{ew€2nqr†t^‰ *w¿‹qr•~†wÉ žzeŽ^t‰1‚‹qru‚. . . ".

(29) ‚s‹}ˆ€˜Lw‹qr•~‡}ˆzep’}ˆ€’~ew2p¢ƒB}tœ‚w2pw€Ì‚}t{- žzep’}ˆtœ‚sw2p̚Lz†Œ“ru‚}zetBrut‰ ”/zep̚‹}ˆt{-r†šš^Œ}v2ru‚s}ˆzet€–¿ZDtz†‚s‹^w2pv5‹ze}ˆv2w ÜzeŽ^Œ‰˜Lw‚z žz†p˜}ˆ‰Ãš^pzešqru{œru‚s}ˆzet-Ž€Ì}t{zetwz† ւs‹^wÉz†š^‚s}ˆv•r†Œ z v2zet 1q‰w2t^v2w!”w•ru€ŽpÌw2€ –.  . /ú/þ2÷-ø. Ãþ . . .   ¿øQþ2ú÷  . øQù þ È÷ ü. ŠpÌ}“r†t{†ŽŒ“ru‚}zet }€r†Œ Ür•ƒ‡€-t^w2v2w€€r†p̃ tzu‚-zetŒƒï‚zÿpw2”w2‰‡ƒ@‚s‹^wB€šqr†p̀wtw2€Ì€1z† ‚‹wJ‰}ˆ€šqr†pÌ}ˆ‚„ƒï”¯rušOn ˜Ž^‚×r†Œˆ€z¿šp}ˆ”¯r†pÌ}Œƒ!‚szÈr†ššpÌz ‡}ˆ”¯ru‚w3}ˆ”¯r†{†w2€4 žzepÜpÌw2t‰wp}ˆt{Èw;v}w2t^vƒe–4ŠY‹wD‚spsru‰}ˆ‚}zetqruŒq}t‰wšLwt‰wt‚ ‚sp}r†t{eŽ^Œ“ru‚}zetÉzeš›w2psr΂sw2‰zetw2r†v5‹}t‰}~ }‰ŽqruŒ‡}ˆ”¯r†{†wÜ{e}~ew2€4r{ez z ‰$r†ššpÌz ^}ˆ”¯r΂s}z†t ׋w2t$‚‹wYz‡vv2ŒˆŽ‰w2‰ r†pw2r†€×r†pw3tw2{eŒˆ}{e}ˆ˜Œw}t/‚s‹wpÌw2t‰wp}ˆt{$~‡}ˆw j` 1qw2Œˆ‰On^˜އ‚×}ˆ‚Y˜›w2vze”/w€Y}t€ÌŽ.;v2}ˆw2tœ‚ ׋w2t-‚‹wz‡vv2ŒˆŽ€}ˆzet€ r†pwYruššqr†pÌw2tœ‚ r†€Q}ˆŒŒŽ^€Ì‚spru‚sw‰!}ˆt!‚s‹wÜ{œr†p‰^w2t qz Üwp<€wŸ Ž^w2tvw†– „tȂs‹}ˆ€Q€wv‚}zetOn *wYšpÌzešLz†€wYr†t$z†p}{†}tqr†Œ šqr†}p ×}€Ìw$}”/r†{ew$‰w€v2pÌ}š^‚}zet €Ì‚pŽv"‚sŽpÌw‚‹qru‚ *w/v2r†ŒŒ qn ׋^}v5‹Ø‚p}r†t{eŽŒru‚sw€ ‰} Lw2pÌw2tœ‚Ü}ˆ”¯ru{ew2€<€Ì}”ÈŽŒ‚5r†t^w2zeŽ€ÌŒˆƒrut‰/vzet€Ì}€Ì‚w2tœ‚sŒƒ ž‚s‹^w‚w2p” ×}ŒˆŒ˜›wDšpÌw2v}€wŒˆƒ‰w 1qtw‰ Œ“ru‚w2p (– ™‚v•r†tËqr†t^‰Œw’‚‹w”/ze€¢‚׉}%;vŽŒˆ‚×z v2vŒŽ€Ì}zet-špÌze˜Œˆw2”€Y˜Lw"‚ Üww2tJ‰} wpwt‚}ˆ”¯r†{†w2€2–. . . . . . .

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(40) Öì òñ·ìqó ŠY‹wD”¯ru‚v5‹w2‰r†pw2r†€ žpÌze”Ù‚s‹^w3ŸŽqr†€Ì}`„‰^w2t€Ìw3‰}ˆ€¢` , šqr†pÌ}ˆ‚„ƒ”/r†šÃpw2š^pw2€Ìw2tœ‚’‚‹w!vze”/”zet-~ }€Ì}˜Œˆw~ }ˆ€Žqr†Œw"~ew2tœ‚€z† Ђ‹w!€Ìv2w2t^w2€2–ŠY‹w}p˜LzeŽ^t‰‡` r†pÌ}w2€€‹^zeŽŒ‰tz†‚D˜Lw¿v2pz†€€w‰B˜œƒrutƒÃz†‚‹w2p‚spÌ}“r†t{†Œw2€Y žzepŒ“r΂sw2ppwt‰wp}t^{–׊Y‹wƒ1€‹z†ŽŒ‰ ˜›wɚ^pw2€Ìw2p¢~ew2‰Jr†€Y‚s‹w”ze€Ì‚×tqr΂sŽpr†ŒOv2z†t€Ì‚psr†}ˆt‚€2–. .0/. y z *w~†w2p2n4} jzetŒƒ ˜Lz†Žt‰qr†p¢ƒ w2‰{ew€Èz† Y”/ru‚v5‹w2‰Ër†pw2r†€ *w2pÌwŽ€w‰OnЂ‹zeŽ{e‹Ë}ˆ‚É€}ˆ”/šŒˆ}%1qw€ D ‚s‹^w}ˆ”/š^Œw2”w2tœ‚sru‚s}ˆzetOnÎ}ˆ‚<”/r•ƒÈ{e}~ew×ršLz zep<ruššpz ‡}”/ru‚}zet! žz†pЂs‹wY~ }€ÌŽqr†Œw"~ewt‚€2– m3r΂sŽpr†Œ zeŽ^‚‰z zep€v2wtw2€v2zeŽ^Œ‰É˜Lw t}vw2Œƒ’‹qr†t^‰Œw‰On†˜އ‚Ö‚‹w*r†Œ{ez†p}ˆ‚‹” z† ã‚swt¿špÌz‡‰^Žv2w€ÐŽt‰^w2€}ˆpsr†˜^Œw r†p¢‚s}ˆ Åruv‚s€Y žzep×rup̂s}41qv2}r†ŒOze˜Ìw2v‚€2–*Š Üz/”/ze€¢‚ׂ„ƒ‡š^}v•ruŒ[pw2t^‰w2pÌ}t{¯r†p̂}ˆ År†v"‚s€×r†pÌw‚‹w ̘pz†£†w2t Œ}ˆtw ¯r†p̂}ˆ År†v"‚3}ˆŒŒˆŽ€Ì‚psru‚w2‰Ã}tBoÐ}ˆ{eŽpÌw " rut‰‚s‹^w Ì{e‹z†€Ì‚s}ˆt { ¯r†p̂}ˆ År†v"‚ ž‰zeŽ˜Œˆw!}ˆ”¯r†{†w Ü žzep ‚s‹^}t €Ì‚sp̎v‚Žpw€!Œˆ}£†wwŒw2v"‚spÌ}všLz†€Ì‚s€–¯ŠÖzÂsr†v5£Œw‚s‹w€wšpz†˜Œw”/€nւ *z”zepw$vzet€¢‚spsru}tœ‚s€ r†pÌwÉ}ˆtœ‚spz ‰Žvw2‰O–. . . ìJó2ì>,Ëì·ó ŠY‹w”ze€¢‚׉}pÌw2v‚jpw2”w2‰^}“r†ŒL”/w2r†€ŽpÌw žzep܂s‹^w˜pze£uw2t̍}ˆtwr†p¢‚s}ˆ Åruv‚Y}ˆ€Ü‚sz }tœ‚w2{epru‚sw¿}”/r†{ewv2zetœ‚zeŽp3š›ze}ˆt‚€’r†€Dv2zet^€Ì‚spr†}tœ‚€2–ŠY‹wȌ}ˆtwɀw2{†”/wt‚€r†pÌwɂsr†£†wtJ‚sz˜›wÈr. .03. . š›zeŒˆƒ {ezetr†Œ[r†šš^pz ‡}”/ru‚s}ˆzetz† Œ}ˆt£†w‰Ãvzetœ‚szeŽ^pš›ze}ˆt‚€2– ñ 

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(44) ÌzepY€Ì‚w2š€–YoÐ}ˆ{eŽpwÉd }ŒŒˆŽ€Ì‚psru‚w2€Ü‚‹ww~†zeŒŽ^‚}zetz† ւs‹^wÉvzet€¢‚spŽ^v‚s}ˆzetÃr†Œ{†zep}‚s‹”Ö. INITIALIZATION. . INSERT RECTILINEAR OBJECTS. . INSERT LINE SEGMENTS. INSERT VISIBLE PATCHES. . oÐ}{†Žpwd ô „ŒˆŒŽ€¢‚spru‚s}ˆzetz† ւs‹w‰} wpwt‚€¢‚sw2š^€Dz† ւs‹^wÉw‰{ew(`„v2z†t€Ì‚psr†}ˆtw2‰ Ìze}tœ‚Y~ }w. –. COMPLETE USING THE 2nd GRID. ‚p}“rut{eŽŒru‚s}ˆzetO–. () 

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(53) ‚spÌ}“r†t{†ŽŒ“ru‚}zet/}€Y€Ì‹z ×t}tÃoÐ}ˆ{eŽpÌw ^–. –. . . ì•ì   Åð,  ò óì ñ

(54) žð,ïð21 + Öì1ó2ì>,Ëì·ó. . ŠY‹w×v2zetœ‚zeŽp<š›ze}tœ‚s€Qr†€<Œz v•r†Œ‡”¯r ^}ˆ”¯rz† L{epsr†‰^}w2tœ‚<w‰{ewYš›ze}tœ‚€4r†pw 1qp̀̂4‰w"‚swv‚sw‰/˜œƒrÉljr†t^tƒœ` Œ}ˆ£†w3‰^w‚swv‚zep 5 ,^‚‹w2tOn‡‚s‹wvzettwv‚sw‰1vzetœ‚szeŽ^pYšLze}ˆtœ‚s€Yr†pÌw’Œ}ˆt£†w‰r†t‰Ãr†šš^pz ‡}”/ru‚sw‰-˜ƒ¯Œ}ˆtw €w{e”/wtœ‚s€2–<ŠY‹^}€Üš^pz v2w2‰^Žpw’}ˆ€*š›w2p¢ žzep”w2‰/zetŒƒzet/‚‹w 1qp̀̂Ü}”/r†{ew†–  wD‰z!t^z†‚ ×}ˆ€‹¯‚z!”/ru‚sv5‹ ‰}pÌw2v"‚sŒˆƒ‚‹wYŒ}ˆtw܀Ìw2{e”w2tœ‚s€<}ˆtȂ Üz}ˆ”¯r†{†w2€Qru€Q€Žv5‹/r’špÌz‡vw2‰ŽpÌwY}€Q‹r†p‰Œƒ!€¢‚5r†˜^Œw†–Zæ‰w‰Žv‚}zet ”/w"‚s‹z ‰}ˆŒŒˆŽ€Ì‚psru‚w2‰Ã}tJo}{eŽpÌw 5 }€}”šŒw”/wt‚w2‰O–ŠY‹}ˆ€3”w‚s‹^z‡‰1‰w2‰Ž^v2w2€’‚‹wÈvzeppÌw2€š›zet‰^}t{ Œ}ˆtw’€w{e”w2tœ‚}t-‚s‹w€Ìw2v2z†t‰}ˆ”¯r†{†w3 žpze” ‚s‹w‰}ˆ€šqrup}ˆ‚„ƒ¯”¯rušO–. . . o zepr†tœƒBŒ}ˆtwȀÌw2{e”w2tœ‚¿‰w‚w2v‚w2‰Ø}tB‚s‹w&1qp̀̂É}”/r†{ewun[r†ŒˆŒQv2zepÌpw€š›zet‰}ˆt{šLze}ˆtœ‚s€}tJ‚‹w/t^w2}{†‹‡` q ˜Lz†p‹z z‡‰ z† *‚s‹wwt‰‡`„š›ze}ˆt‚€z† ܂‹w/Œˆ}tw$€Ìw2{e”w2tœ‚!r†pwze˜‡‚5r†}ˆtw2‰ žpze” ‚s‹w‰}ˆ€šqr†pÌ}ˆ‚„ƒB”/r†šO–Z ‚swt‚sru‚s}~ew ‚psr†t^€Ì žzep̔¯ru‚}zetËzet¸‚s‹w-Œˆ}tw/€w{e”/wtœ‚}t˂ *z }”/r†{ew2€!}€!w€Ì‚}”/ru‚sw‰O–ØŠY‹^}€ . . f. .

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