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(25) Cumulated Time without visibility, Relative Error Threshold 1e-5. Cumulated Time, Relative Error Threshold 1e-5. 20 Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 200. Cumulated Time [s]. Cumulated Time [s]. 15 150. 100. Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 50. 00. 160000. 320000. 480000. 640000. 800000. 960000. Geometric patches. 1120000. 1280000. 1440000. 10. 5. 00. 1600000. 160000. 320000. 480000. 640000. 800000. 960000. Geometric patches. 1120000. 1280000. 1440000. 1600000. ÚJgxyNjs|v ¬ þ^agiqÄ ¨ ^as|vjswswmgxwsyÐtvgxqpTÁRtvshkpTniT| g½h giwmu rF wmuw;t)pNw yTpNq1tk|vg½pTqrsni1bugÕte ¨ÔÆ 1ÁÌt þ Ë#gxtkÐdgihkg ý gxnigÕteÔÛNjm|vgxAh u|vgxyN;t þ$Ë#gÕtvspTjst¼;g½hkg ý ginigÕte ¨ . kh gxyNwsg 7lw;tvnxeÃhnipµËR |#tkFlwÛ;jmlTs|vltkg½ ¨ ^as Á¦lNºt¼tvmlµt}sgxyNs| pT|5u| ý lThk hlT|kÁ¦lNhtv| Ë#gÕtvspTjut ;g½hkg ý ginigÕte hvlqrsnigxwsy.g½h bdrmnilTgxwsAwsptvgxwsyÐtvmlµtgiw pTjm|)heuhtk q tks{w;jmq ý |pTÁ~dg½hg ý ginxgxteéhvlqrsni h g½hpTjsrsni étvp ¾T |kwmn giwNtvyN|vltkgipTw ¨ ñ ¤T¤N£ µ´s ¤ Ó+ ^asur7wFuwm pTÁÑtkgiq pNw{|vn½lµtvgxN|v|vpT|tvs|kAhmpTn½g½hRhkspµË#wgiw ¥ F£E µ±Ð§ ¨ ðé}|5lw hv1wm Å Ë#gÕtvtvsugÕÿ=|vw;tgx|v|5lTug½lwm ý lNhAh lTwm.tvs|vÄ|k niltkgiT) |k|vpT|tks|v hkspNnish ¨ ^asÄ|kAhjmnÕt5h}hkspµË tkFlµttvstvs|v ý lNhAh¼r7|kÁÂpT|vq'giw.tvshvlqËalUe ¨ t}gih ln½hp{nxAl|#tvmlµtltkm|kAhspNniÃtvw.tvgxqAh hkqlninx | |v Û;jsgi|kAh}lÔtvgxql ý pTjst tkgiqÄAh nipTwsyN| ¨ÄÉ gxyNs| pN|vu | ý lThk h lTrsrFAl|hknxgiyT;tvnxe hknipµËR |ÁÂpN| T|vehkqlTnxn tkm|kAhspNnimh ¨ ý dgipTjmhknie giw 5spdpNhkgiwsy.lw lrsrm|kpUbugiqltkgiwsy ý lThkg½h EgÕt)g½hgiqrFpN|t5lw;t tkpéln½hp.1pNwmhkgiu | tkm |5lµtkpTÁJÛ;jmlnigxtvlµtvgxN 1pTwdN|vyTwF1 dlTh#hkspµË#wÃgxwdAºtvgxpNw «m¨ Ås¨ . . J±. . ³. . . ¯¥c¶ ± µ±dE¢ ¢J£ µ¥c ´ ²A¥¦¶£EÎc´u ¥c¡Fè + _¼lTugipNhkgxtehpNnxN|5h FlUTl{Ë~pT|v¾dnxp;lT.rs|vpTr7pT|ktkgipTwFlnJtkpÃtkm wdjsq ý |apTÁÑnxgiws¾uhRtkpĵlnijmlµtv ¨ ^as}wdjsq ý |~pÁ nigiws¾uhRgiwtvjs|vw{yT|vpµË¼hãË#gxtk{tks}yT pTq1tv|kg½pTw FyTjs|5lµtvgxpNwmh pÁîtks Âr7ptvw;tkg½lninxe giw;NpTniTAÐrmlµt55s h}lwm Ë#gÕtv tvsÄws |kyNeÃbs5mlwsyN .pµN|tksÄnxgiws¾uh ¨ js|}hkeuhtvq jmhk hlhspdpTtkgiwsylTrsrs|vpNlN5 $tkdjmhÄË~Ôbdr7 1tl ý giyTyN|lqpTjmwNtpÁ}ËRpN|k¾ ujm|kgiwsyétks m|5htgxtk|5lµtvgxpNwmh ÁÂpT| tkmÄhkspdptv ws|vyTeÐuA1|v lThkgiwsy ý 1tË~ w hjF1AhkhkgiT)gxtk |vltkgipTwmh ¨ ^asgih ý mlUdgipTjs| gihpTw m|vq ý e ¥ 7£E U± Ö sË#m|v tvs)hknxpµË~ htagÕtv|5lµtkgipTwÐg½hatkmhA1pTwF uË#gÕtvlwde ý lNhg½h ¨îÉ giyTs |#pT|5u| ý lThk h#l|v l ý gxt hknxpµË~|~tkFlwÃnxpµË~|apT|5u | ¨ µ³. . ¾. . o. . . ±. . E³. . .
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(27) Cumulated Time, Scene 5 1750 1625 1500 1375. Cumulated Time [s]. 1250 1125 Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 1000 875 750 625 500 375 250 125 0. 1e-06. 1e-05 Relative error threshold. 1e-04. ÚEgiyTjm|k « þ^agiq ¨ ^as µl|vgipTjmh ý lNhAh ý mlUThgiqgxn½l|vnie ¨ Time, Scene 5, Relative Error Threshold 1e-5. 70 65 60. Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 55 50 45 Time [s]. 40 35 30 25 20 15 10 5 0. 0. 2. 1. 3. 4. 5 6 Iteration. 7. 8. 9. 10. ÚJgxyNjs|vÄFþ}^agiq ¨ hburFAºtkA Ñtvshmp;pTtkgiwsy.lrsrm|kp;lT5 hkrF wmshqpT|vtkgiqÄlttks ý yNgxwswmgxwsyÐpTÁîtkm hkgxqjsniltkgipTwmh ¨ סF]¶ J´u µ¥c² ¡7·¥¦ & µ±;J¢J±N $´u U¸i+ ^as1pNqÄrFl|vgihkpTwË#gxtk |vwms|vrml|v¾ h TpNnxjsq1nijmhtk |kgiwsyÃË~lNh
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(29) Cumulated Time, Relative Error Threshold 1e-5. 1.9e+04. 1e+04. 2.58e+04. 3.3e+04. 3.9e+04. 4.6e+04. 5.2e+04. 5.7e+04. 1.27e+04. Cumulated Time [s]. 5.99e+03. 1e+03. 1e+02. Volume Clustering Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 1e+01. 1e+00. 0. 160000. 320000. 480000. 640000. 800000. 960000. Geometric patches. 1120000. 1280000. 1440000. 1600000. ÚJgxyNjs|v Å þ ^agxq ¨ oRpNqÄrFl|vgihkpTw Ë#gxtkÄTpNnxjsq~1nijmhtv|vgxwmy ¨ fpNnxjmqÄ#nxjmhtk |kgiwsy}htv|kpNwsyTnie ur7wmmhEpNw)giwsrsjut yT pTq1tv|kg½}1pTqrsni1bugxte ¨ qlTu|kjmwswsgiwsyÔlTnxnEtkshv1wm h¼Ë#gxtké|v|kpN|#tkm|kAhspNni ¨ ^as)|v hkjsnxtvh}l|v)hmpµË#wgxw ¥ 7£ µ±Ø ¨ ð 1pNqrml|v étkmÔ1jmq)jsn½lµtv tvgxqÔlÁÌtk |tk w gxtk|5lµtvgxpNwmh pTÁ¼pTjs|ÄhpNnxN| tvp.tk w gÕtv|5lµtvgxpNwmh pÁ¼|vwFu|vrml|v¾ ¨ _# wmu|vrmlT|k¾érs|kAh w;tvh)l wsptvgi l ý nx{nxgiws lT|u rF wmu wm1ÔpTw tkmÃhv1 ws{1pNqrsnxbugÕte ¨ Ús|vpTq,tksÔyT|5lrs gxtgih dgiu w;t tkmltT w tvs{hkpTnijutkgipTwpÁ~tkmhgiqrsnxAht)hv1 wsg½hpTwspN|vu |pÁaqlTyTwsgxtkjFuhnipµË~|}tkmlTw |5lTug½lµtvpT| ¨ fpTnijsq1nijmhtk|vgiwsy{t5l¾N h}ÁÂ|vpTq »TNT tkp ÅN¿TN h#ÁÂpN|hpNnxdgiwsyÔtksq)jFh jsq,hv1 wsÄlt UlT|kgipTjFh |v hkpTnijutkgipTwmh ;Ë#sgxni|vlNug½lµtkpN|RhkpTniTAhRlTw;ehv1 ws}gxwÃnxAhkhRtvmlw ÈT h ¨ ^as1pNwmht5lw;tagx|v|vlNug½lwm ý lNhg½hîg½h~tkm Á¦lThtkAht dtvlT¾;giwsy NNh~giwmhtv lN{pTÁ tkm U¿T¿ hîwm s ý etks j ý g½ ý lThkgih ¨Æ giws lT|#lwmÃÛ;jmlTu|5lµtvgi ý lNhg½hal|v giw ý 1tË~ w ¨ aæ ò ¼ïÑê ió ueê :í Á5ïÑêmí © |vp ý l ý nietkmqpNht)gxqr7pT|ktvlTwNt)Û;jmlTw;tkgxteéË#s w hpNnxdgiwsyl.hv1wmË#gÕtv yTgiT wrm|kA1g½hgipTw 1pNwmhtk|5lgiwNt5hgih tkmÄwdjsq ý | pÁ~nxgiws¾uhpµT | Ë#sg½5ws |kyNe.gihbu5FlwsyN lTwméµlnijmlµtv ¨ ^agiqÄlTwm q qÄpN|kelNºtvjmlninxe l|v{htk|vpTwsyNnxe u rF wmuw;tpTw tvsg½h)¾Ne q lThkjs|v ¨ .pT|vpµN| ÑtkmÔ ws|vyTeétk|5lwmhÁÂ|5hmnir tkp jmuyTÔtkm gx wm1epÁatkm|k mws |)lwm lTrsrs|vpUbugxqlµtvgxpNw ý lThk h ¨ ¹w Ë#mlt ÁÂpTninxpµË¼hËR{s hv1|vg ý pTjs|1bur7|vgxqw;t5h |vn½lµtkAtvpws |kyNetk|5lwmhÁÂ|5h ¨ Ñ ±d¡F¶H±N µ¥¦¤.¤T¡7Ö ¶ $Φ:± Òѥ + ^ass1Á¦ljmnÕt}tkAht ht Ë#gxtké|v|kpN|¼tkm|kAhspNni ËalTh jmhAÐtkpÔp ý t5lgiw tkm|v hkjsnÕt5hãrsniptktkAgxw ¥ 7£ µ°± ¨ ^as jsq)jsn½lµtvgxN¼wdjsq ý |RpÁ tv|vlTwmhÁ |vhãgihRhspµË#wlTyNlTgxwmhttkmwdjsq ý | pÁ~gxwmrsjutrs|vgxqgxtkgiTAh Ñbusg ý gÕtvgxwsylTyNlTgxwlÃpTwmhtvlTw;t tv|k wmpµT| tkmË#spTni|vlTwsyTÄpÁahkwsAh ¨ ^as ý ht r7|kÁÂpT|vqÄgiwsyégx|v|vlNug½lwm ý lThkg½h)pN|vu |)g½hÛNjFlTu|5lµtvgi $nxp;h nxeÁÂpNnxnipµËRA ý e nxgiws lT|ÄlTwmHj ý g½ ý lThkgih ¨ ^am qpNht}burF wmhgiT ý lNhg½h}gih1pNwmhtvlw;t 7Ë#gxtk lwlUT |vlTyTpµN|vs lNÐpÁRl ý pNjut ¬: ô tv|vlTwmhÁ |vh}Ë#gxtké|kAhr7 1t tkpÛ;jmlNu|vltkg½ ¨ Y[ \!`. ±. E³. °. . . í. . -. ¥ð. -. . . lm. . Y[\!`. J±. E³. . . . N.
(30) Energy transfers, Relative Error Threshold 1e-5 140000. 120000. Energy transfers. 100000. 80000. Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 60000. 40000. 20000. 00. 160000. 320000. 480000. 640000. 800000. 960000. Geometric patches. 1120000. 1280000. 1440000. 1600000. JÚ giyTjs|v » þ À ws |kyNetk|5lwFhÁ |vh ¨ ^asw;jmq ý |#g½h#gxwFur7wmsw;t¼pTwÐyT pTq1tv|kg½}1pTqrsni1bugxte ¨ ñ ¤T¤N£ µ´s¤ Ó+ ^asyN|vlTrs.hspµË#wÃgiw ¥ 7£ µ±Éõ hmpµË¼haspµËtvspN|vu |¼pÁ$gi|k|5lTug½lwF1 ý lThkg½h#gxw mjswF1 h tkm}wdjsq ý |#pÁ nigiws¾uhagxw.u1 ws Åu¨ ^aswdjsq ý |apTÁ tk|5lwFhÁ |vhRgiharmnxpTttkAÔlTyNlTgxwmht~tks|v}|v|kpN|îtvs|v hkspTn½sh yTgidgxwmylyNpdpdÄpµN|v;giË ¨ T|$tvs¼Ë#spNnx#|5lwmyTapÁ7tks|v hkspNnish NÛ;jmlNu|5lµtkg½~nxgiwsAl| ý lNhg½hyTgiTAhJtks hqlninx` ht¼wdjsq ý |pÁ tv|vlTwmhÁÂ|5h snxp;h nxeÁÂpNnxnipµË~ ý eÔnxgiwsAl|¼lwFÃj ý g½ ¨ oRpNwmhtvlw;t ý lNhg½hagihhgiyTwsg F lw;tknieqpT|v 1bur7wmhkgiT cl ý pTjut ¬ ô qpT|v#tvmlwÃÛNjFlTu|5lµtvgiaË#gxtkÃlwde)tvs|v hkspTn½ ¨ djF5{hklUdgiwsyNhîl|vgiwmur7wFuw;tRpNw hv1wmpTqrsni1bugxte slTh#hk wÔgiw.ÚJgxyNjs|k »m¨ ±. k. E³. . . . ;. . ¥. . U¬.
(31) Energy transfers, Scene 5 1300000 1200000 1100000 1000000. Energy transfers. 900000 Hier. Higher Order Vector Radiosity, Constant E Hier. Higher Order Vector Radiosity, Linear E Hier. Higher Order Vector Radiosity, Quadratic E Hier. Higher Order Vector Radiosity, Cubic E. 800000 700000 600000 500000 400000 300000 200000 100000 0. 1e-06. 1e-05 Relative error threshold. 1e-04. ÚJgxyNjs|v ¿ þ À ws|vyTe{tk|5lwmhÁÂ|5h ¨ oRpTqrml|vg½hpNw ý 1tË~ w ý lThkgih þîlNh#1bur7 ºtv .hkgxqrsni| ý lThk h#yNws |vltkqpT|v wm|vyTetk|5lwFhÁ |#nxgiws¾uh ¨ ¯R U±dJ¢¡7³ µ´sJ² ³±; µ²Ô¢J£ µ¥c P´ ² ¥c¶é£JΦ´s ¥¦¡7è+ ^asg½h 1burF |kgiqw;tr7pTgiw;tvh pTjut}spµË&tksÄwdjsq ý | pÁ wm|vyTetv|vlTwmhÁÂ|nigxwm¾dh5mlwmyT h)ujs|vgxwsyélhgiq)jmniltkgipTw ¨ ðtk|vgxA µl|vgxpNjmh ý lNhg½h pN|vu |vh)lwmtË~p.|v|kpN| tkm|kAhspNnimh Âq ugijsq lwmÃsgiyTÐrs|v gihkgipTw RË#gxtk uws Å Âwmpptkm|hv1 ws haws Ôtkp ý )htkjmsgxA{ÁÂpN|#tkm giwmur7wFuwmÔpTÁ¼tk|5lwFhÁ |vh)pTwPhv1 wsÔpTqrsni1bugxte ¨ ^asÔyN|vlTrsmh)gxw ¥ 7£ µ± Ï hspµË tvsÃw;jmq ý |ÄpÁ tk|5lwFhÁ |vh}rsniptktk lTyNlgiwmht tvsgÕtv|5lµtvgxpNw ¨ÄÓ pTtk|kjswFhmlUThgiqgxn½l| ý FlU;gipTjm| þtkswdjsq ý | pÁîtv|vlTwmh` ÁÂ|5hãyN|kpµË¼h T|v lN5sgiwsytks qlµbugxqjsq µlnijslµtRtks}hA1pNwmgÕtv|5lµtvgxpNw ;lTwmÄtkmwÔsgxqgiwsgihksAhãtvp)lr7pNhkgÕtvgxN qgxwmgxqjsq ¨ h1bur7 1tk tkm#qlbugxqjsqñwdjsq ý |îpÁFnigiws¾uhãur7wFshpTwtkm#|v|kpN|Etvs|v hkspTn½ þÑtvs#rs|v gihk tkm|kAhspNniyTwm|5lµtkAhl{rFAl¾Ðwdjsq ý |}pÁtv|vlTwmhÁ |vh l ý pTjut ¿ tvgxq h ý giyTyN|tkmlTw.tksÄq ugijsq rs|v gihkgipTw tkm|kAhspNni ¨ ^as qgxwmgxqjsqÒµlnijs pTÁJnigxwm¾dh¼|kAlT5sA{giwÃtks mwFlnÑgxtk |vltkgipTwmhag½h¼lÄÁÂ|5lTºtvgxpNwÔpTÁEtvshvÛNjFl|v wdjsq ý |)pÁa|kpdptrFlµtv5m hgiw tks{hv1 ws EË#sg½5giw tkjm|kw u rF wmshpNwtks{lUN|5lyNu yT|vpÁapunxjmhkgipTw ý 1tË~w{tksp ý 1tvh ¨ ¹wÔtkm hk}burF |kgiqw;tvh uÛNjFlTu|5lµtvgi ;nigiws lT|~lTwmÔj ý g½ ý lThk h~rF |ÁÂpN|kq giwÔtks hvlq ËalUe JyTwm|5lµtkgiwsy.hkgxyNwsg 7lw;tvnxeénxAhkh)nxgiws¾uh tvmlw pTwmhtvlTwNt ý lThkgih ¨ ¹w tksÔ1bslqrsnihmpµË#wgiwHÚJgiyTjs|v Ï Û;jmlTs|vltkg½ ý lNhg½h#hvlUT hal ý pNjut ¬: ô pÁJtkspTwmhtvlTwNt ý lNhg½hRtk|5lwmhÁÂ|5h uË#gÕtv ý ptvÃtks|v hkspTn½sh ¨ µ³. . ^. . . ±. . E³. o. o. ´. . . . . . . . . A«. .
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