"Mirror Mirror" [SIGGRAPH ASIA 2014] Review

"Mirror Mirror" [SIGGRAPH ASIA 2014] Review

a reading circle.in nae-lab

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Fushimi Ryohei

November 17, 2014
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  1. .JSSPS.JSSPS$SPXETPVSDJOH#FUUFS1PSUSBJUT +VO:BO;IV "MFYFJ"&GSPT 6$#  "TFFN"HBSXBMB &MJ4IFDIUNBO +VF8BOH "EPCF 

    <4*((3"1)"4*"5FDI1BQFS>"DDFQUBODF3BUF ๲େͳࣸਅ͔Βັྗతͳද৘ΛબͿͨΊʹ Ϋϥ΢υιʔγϯά+ػցֶशΛ࢖ͬͯϞσϧΛ࡞Δݚڀ ใࠂ୲౰ऀ෬ݟྒྷฏ බଜݚڀࣨ#
  2. ͳͥબΜ͔ͩ w $7 ػցֶशϙʔτϨʔτͱϝϯόʔͷڵຯൣғΛΧόʔ w ʮͨ͘͞Μࡱͬͯޙ͔Β͍͍ද৘બͿʯ৽͍͠ΧϝϥͷܗΛఏҊ w $SPXETPVSDJOH ͱ͘ʹ1BJSXJTF՝୊Λ࢖ͬͨ"DUJWF-FBSOJOHͷ۩ମత ͳϝιου͕ॻ͔Ε͍ͯΔ

    w ৽઱ͳؔ࿈ݚڀΛͨ͘͞Μ঺հ͍ͯ͠Δ ݅ 2
  3. "CTUSBDU w ͍ΖΜͳද৘ͷϜʔϏʔΛࡱӨ w $SPXETPVSDJOHΛ࢖ͬͯͦΕͧΕͷϑϨʔϜͷද৘ͷັྗ౓Λܾఆ w ҟͳΔද৘ͷັྗ౓Λਪఆ͢Δ<ඃݧऀ಺>ϞσϧΛ࡞ͬͨ w ҟͳΔඃݧऀͷද৘ͷັྗ౓Λਪఆ͢Δ<ඃݧऀؒ>ϞσϧΛ࡞ͬͨ w

    "DUJWF-FBSOJOHΛ࢖ͬͯ৽͍͠ඃݧऀͷͨΊʹඃݧऀؒϞσϧΛνϡʔ χϯά͢Δํ๏ΛఏҊ w ྑ͍ද৘Λ࡞Δํ๏ΛֶͿͨΊͷ܇࿅ΞϓϦ΋࡞ͬͨ 3
  4. 3FTVMU7JTVBMJ[BUJPO 4 w γϦΞε౓ͱັྗ౓ͷͭΛਪఆ w ·ͣγϦΞε౓Ͱ܈ʹ෼͚ɺ֤܈Ͱ࠷΋ັྗ౓ͷߴ͍ࣸਅΛબͼɺ
 γϦΞε౓ॱʹࠨ্ˠӈԼʹฒ΂ͨ΋ͷ

  5. *OUSPEVDUJPO w ັྗతͳද৘ΛͲ͏΍ͬͯ࡞Ε͹͍͍ͷ͔Θ͔Βͳ͍
 ˠΧϝϥΛ޲͚ΒΕΔͱෆ҆Λײ͡Δ w ࣗݾΠϝʔδͱଞਓ͔ΒͷΠϝʔδ͸େ͖͘ҟͳΔ<4QSJOHFS > w ද৘ΛQPTUQSPDFTTͰັྗతʹ͢Δํ๏͸ͨ͘͞Μ͋Δ͕ɺՃ޻͸ݏͩɻ ˠࡱӨதʹଞਓ͔ΒݟͨັྗΛϑΟʔυόοΫ͠Α͏

    5
  6. 3FMBUFE8PSLT w ϏσΦද৘ܥ w ϏσΦ͔Β֤෦Ґͷಈ͖Λಛ௃நग़͠࡞Γস͍ࣗવͳস͍Λ൑ఆ <%JCFLMJPHMV &$$7> w ͨ͘͞Μͷࣸਅ͔Βશһ͕সإͷࣸਅΛ࡞Δ<4IBI 47.1>

    w ϏσΦ͔ΒDBOEJEͳද৘Λநग़͢Δ<'JTT 4("> 6
  7. 3FMBUFE8PSLT w $SPVETPVSDJOH w $SPVETPVSDJOHͰओ؍తଐੑͷϥϯΩϯά΍είΞΛੜ੒
 <1BSJLI *$$7#FTU1BQFS> w ϑΥϯτ<0`%POPWBO 4(>

    ϑΝογϣϯ<,JBQPVS &$$7> 7
  8. ࡱӨ w ෼ؒͷ༷ʑͳײ৘ΛҾ͖ग़ͨ͢ΊͷϑΟϧϜΫϦοϓ<(SPTT -FWFOTPO >ΛJ1BEͰݟͤͳ͕ΒϜʔϏʔΛࡱӨͨ͠ɻ w ͍͍ͩͨ ϑϨʔϜ͘Β͍ࡱΕͨ DGരসΧϝϥϑϨʔϜ 

    w ˠJ1BEͰڭࣔͷϏσΦΛݟͤΔͱࡱӨऀͷӨڹΛഉআͰ͖ͯΑͦ͞͏ 8
  9. 1SF1SPDFTT  'BDJBM5SBDLJOH1PTFOPSNBMJ[BUJPO w <9JPOH >ͷ'BDF5SBDLFSΛ࢖ͬͯͷಛ௃఺நग़ w ਖ਼໘޲͖ʹἧ͑ΔͨΊ%ςϯϓϨʔτϞσϧʹషΓ෇͚ ͯϫʔϓ<;IBOH >

     )0(GFBUVSFFYUSBDUJPO w ໨ ·Ώ එؒ ޱ إશମͰ࣍ݩͷ)0(ಛ௃ྔ w )0(ಛ௃ྔ͸ϐΫηϧً౓ޯ഑ͷہॴώετάϥϜͷ࿈݁
  ৄ͘͠͸όʹฉ͜͏   4FMFDUSFQSFTFOUBUJWFFYQSFTTJPO w ᩦཉ๏ͰࣅͨϑϨʔϜΛআ͍ͯϑϨʔϜ͘Β͍ʹߜΔ w ڑ཭ؔ਺͸)0(ಛ௃ྔͷॏΈ෇͚υοτੵ
 ˢҙ֎ͱγϯϓϧ <)BSJIBSBO ><4IMJ[FSNBO > 9
  10. "NB[PO.FDIBOJDBM5VSL w lػց͔͚͡ͷτϧίਓz w ஌Βͳ͔ͬͨΒ5IF5VSLͰάάΖ͏ w $SPXETPVSDJOHͷϓϥοτϑΥʔϜ 10

  11. .5VSL)*5ͷઃܭ w )*5)VNBO*OUFMMJHFODF5BTL.5VSLʹ͓͚ΔλεΫͷ୯Ґ w ໰ͷ౷੍࣭໰ͷ͋ͱ໰ͷ୒՝୊ w ౷੍࣭໰Λؒҧ͑ͨ)*5͸ࣺͯΔ w ౷੍࣭໰ΛҎ্ؒҧ͑ΔϢʔβ͸CBO͢Δ 11

    Q. Which is attractive? =1HIT ×16໰ =$0.06 ※1Ϣʔβ20HIT·Ͱ
  12. 4DPSJOH&YQSFTTJPOT w #SBEMFZ5FSSZ.PEFMʹै͏ͱԾఆ͢Δ w બ୒͞ΕΔ֬཰͕είΞͷࠩͷγάϞΠυؔ਺ͱͳΔ w ͢ΔͱɺείΞ͸ࣄޙ֬཰࠷େԽ໰୊ͰٻΊΒΕΔ<5TVLJEB > w ັྗ౓"ͷࣄલ෼෍

    1S " ΛͱΓ͋͑ͣҰ༷෼෍ͱ͢Δͱ
 DJ KJ൪໨K൪໨ͱ൑ఆ͞Εͨճ਺ 12 ↑min(͜Ε) ͕MAP cost
  13. ऩଋΛ֬ೝ w .BQFOFSHZ΋$MBTTJpDBUJPOSBUF΋
 ͭͷը૾ʹ͖ͭଞը૾ͱൺֱ͢Δͱ͍͍ͩͨऩଋ w Ͱ΋\."1&OFSHZऩଋ^Ұ൪ྑ͍ը૾͕ਖ਼͘͠બ΂ͯΔͱ͸ݶΒͳ͍ w SBOLFSSPSNFUSJDΛఆٛ͢ΔΑ 13 <

    ը૾ରͷັྗ౓େখͷਖ਼౴཰͸ O(n)ճͷൺֱͰऩଋ͢Δ [O’Donovan, 2014] O(n)ຕͷը૾܈ʹ͍ͭͯ
  14. ਖ਼͍͠ϥϯΩϯάΛ࡞Δ w ·ͣͦΕͧΕͷը૾ΛϥϯμϜʹબΜͩը૾ͱൺֱ͠ɺ
 ͦΕͧΕͷը૾ͷͬ͘͟Γͨ͠γϦΞε౓ັྗ౓Λਪఆ w γϦΞε౓Λݩʹஈ֊ʹ෼ྨɺ
 ͦΕͧΕͷஈ֊Ͱັྗ౓τοϓද৘͚ͩΛͱͬͯଞ͸ࣺͯΔ w γϦΞε౓ஈ֊ͷதͰ ը૾ϖΞΛճͣͭൺֱ

    w 3BOLFSSPSճൺֱͰ
  ճʹճਖ਼͘͠ϥϯΫ෇͚Ͱ͖Δ 14
  15. 4JOHMFTVCKFDUNPEFM w ັྗ౓γϦΞε౓ͷείΞΛಘͨͷͰɺ͜ΕΛਪఆ͢ΔϞσϧΛ࡞Δ w 4734VQQPSU7FDUPS3FHSFTTJPO w (#3(SBEJFOU#PPTUFE3FHSFTTJPO5SFFT w GPMEͰධՁͨ݁͠ՌɺDPSSd͘Β͍ 15

  16. ٙ໰໨͕։͍ͯͯসͬͯΕ͹
 ັྗతͳͷͰ͸ w ʮ໰୊ͷΫϥεΛաେධՁ͍ͯ͠ΔͷͰ͸ͳ͍͔ʯͱ͍͏ٙ໰ɻ w ΋͠\໨ͷ։͖۩߹ সͬͯΔ౓߹͍^ˠັྗ౓ͷਪఆؔ਺͕
 ಉ͘͡Β͍ͷ੒੷Ͱ͋Ε͹ɺೖྗͷ࣍ݩ͸͜Μͳʹඞཁͳ͍ w ղ͘໰୊ͷΫϥεΛධՁ͍ͯ͠Δɻ

    16
  17. ΍ͬͯΈͨ݁Ռ w \PQFOFZFEFUFDUPS TNJMFEFUFDUPS<+JBOH >^ˠັྗ౓Λਪఆ
 473ͰDPSSdΑ͔ͬͨ w Ͱ΋EFUFDUPS͸࠷৽ख๏͡Όͳ͍͔Β͔΋ʜ w ໨ࢹͰࢼͨ݁͠Ռ

    17 ↑औΓ͜΅͕͋͠Δ͜ͱΛ֬ೝ (͜Μͳࡉ͔͍ࢦఠ͞ΕΔͷ͔…? CV෼໺ͷҋΛײ͡Δ)
  18. $SPTTTVCKFDU w ඃݧऀؒͰύϥϝʔλڞ༗͢Δͱ$PSSd w ΋ͬͱσʔλ͕͋Ε͹ྑ͘ͳΔ͔΋ 18

  19. "DUJWF-FBSOJOH w ৽͍͠ඃݧऀʹ͍ͭͯɺ$SPTTTVCKFDUNPEFMΛগͳ͍αϯϓϧͰ
 ͦͷਓઐ༻ʹνϡʔχϯά͢Δํ๏"DUJWF-FBSOJOHΛಋೖ w ࣄલ෼෍Λ$SPTTTVCKFDUNPEFMʹ ͍Ζ͍Ζ޻෉͢Δͱ
 ऩଋ͕ΊͪΌૣ͍ w লུ

    19
  20. &YQSFTTJPO5SBJOJOH"QQ w 4FF&ZF&ZFͰΧϝϥͱσΟεϓϨΠͷҐஔ߹Θͤ w ࣗ෼ͷإͱɺັྗతͬΆ͍إ͕CMFOEͰදࣔˠ܇࿅Ͱ͖Δ 20

  21. %BUB"OBMZTJT w ઌߦݚڀͷ໨͕։͍͍ͯΔΑ͍ࣸਅͱ͍͏Ծఆ<"MCVRVFSRVF >
 <8BOH >͸φΠʔϒ͗͢Δ͔΋ɻ w ຕ͔Β࠷΋ྑ͍ຕΛࣗ෼Ͱબ͹ͤΔͱɺ͍͍ͩͨҐ͘Β͍ɻ w ັྗ౓τοϓͷ͏ͪฏۉຕ͸ࣗવͳসإɻ

    w সإΛ࡞ͬͯͱݴΘΕΔͱྑ͍সإ͕Ͱ͖ͳ͘ͳΔ  w ࡞Γ͍ͨද৘͸ɺଞਓ͕ݟ͍ͨද৘ͱ͸ҟͳΔ 21
  22. -JNJUBUJPOT w ϏσΦͰྑ͍ද৘͕Ͱ͖Δͱ͸ݶΒͳ͍ w ັྗ౓΁ͷӨڹΛධՁͨ͠ͷ͸ද৘ͷΈ
 ϥΠςΟϯά΍ը֯ɺϝΠΫɾ൅ͷໟͳͲ༷ʑͳཁૉ͕͋Δɻ w 5SBJOJOH"QQ͕ຊ౰ʹΑ͍ࣸਅΛࡱΔ࿅शʹͳΔ͔͸෼͔Βͳ͍
 ࣮ࡍʹ͸5SBJOJOH"QQͷධՁͷલʹັྗ౓ධՁͷͨΊͷࡱӨ͕ඞཁ w

    lັྗతʹ͢ΔͨΊʹͪΐͬͱमਖ਼͍ͨ͠zͱ͔΋͋Δ͔΋ 22
  23. ײ૝ w ͕͍͜͜͢͝ w ऩଋͷධՁɺNFUSJDTಋೖͷετʔϦʔɺෳࡶ͞ධՁͳͲධՁ͕ஸೡ w γϯϓϧ͚ͩͲ៛ີͳల։Ͱϖʔδ ࢀߟจݙຊ w ͕͜͜ඍົ

    w "CTU ং൫Ͱ͸'FFECBDL5SBJOJOHਪͯ͠Δͤ͘ʹΘΓͱద౰ w ࣗ෼ͷݚڀ΁ͷϑΟʔυόοΫ w সإݕग़ث ໨ύνݕग़ث͸ͪΌΜͱ࣮૷͢Δɻ w <(SPTT-FWFOTPO >ͷϑΟϧϜ੥ٻͨ͠ɻ w ࢹܹ֮ࢗఏࣔ͸ΧϝϥͱҐஔ߹Θͤɻ w ΞΫςΟϒ͚ͩͰ͸৽͘͠ͳ͍ɻݚڀͷҐஔ͚ͮ͸͖ͬΓ͍ͤͨ͞ɻ
 ϏσΦ͔Βͷநग़ ࡱӨऀΛר͖ࠐΜͩΠϯλϥΫγϣϯ 23
  24. "OZ2VFTUJPOT 24 .JSSPS.JSSPS$SPXETPVSDJOH#FUUFS1PSUSBJUT +VO:BO;IV "MFYFJ"&GSPT 6$#  "TFFN"HBSXBMB &MJ4IFDIUNBO +VF8BOH

    "EPCF ๲େͳࣸਅ͔Βັྗతͳද৘ΛબͿͨΊʹ Ϋϥ΢υιʔγϯά+ػցֶशΛ࢖ͬͯϞσϧΛ࡞Δݚڀ