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图2-27[1Archimedes”slegacy:Rorres，ArchimedesintheTwenty-FirstCentury.[2]computer-animatedmovies:Forthemathbehindcomputer-genetratedmoviesandvideo，seeMcAdamsetal.，“CrashingWaves.?[3]Shrek:DreamWorks，“WhyComnputerAnimationLooksSoDarnReal,?”July9，2012，https://mnashable.com/2012/07/09/animation-history-tech/#uyYyHyf6h0.Zdq3.[4]，forty-fivemillionpolygons:Shrek，production，information，http://cinema.com/articles/463/shrek-production-information.phtml.[5]Avatar:“NVIDIACollaborateswithWetatoAccelerateVisualEffects2forAvatar，http://Lwww.nvidia.com/object/wetadigitalavatar.html，andBarbaraRobertson，“HowWetaDigitalHandledAvatar,”StudioDaily，January5，2010，http://www.stud

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iodaily.com/2010/01/how-weta-digital-handled-avatar/.[6]firstmovietousepolygonsbythebillions:“NVIDIACollaboratesWithWeta.”[7]ToyStory:BurrSnider，“TheToyStoryStory,”Wired，December|，1995，https://www.wired.com/1995/12/toy-story/.[8]“morePhDsworkingonthisfilmn”:Ibid.“Geri”sGane”Turns20:DirectorJan[9]GerisGane:IanFailes，PinkavaReflectsontheGame-ChangingPixarShort,”November25，2017，https://www.cartoonbrew.com/cgi/geris-game-turns-20-director-jan-pinkava-reflects-game-changing-pixar-Sshort-154646.html.ThemovieisonYouTubeathttps://www.youtube.com/watch?v=gLQG3SORAJQ(originalsoundtrack)andhttps://www.youtube.com/watch?v=9IYRC7g2ICg(modifiedsoundtrack).[10]subdivisi

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onprocess:DeRoseetal.，“SubdivisionSurfaces.?”ExploreSubdivisionSurfacesforcomputeranimationinteractivelyat上hanAcademyincollaborationwithPixarathttps://www.khanacademy.org/partner-content/pixar/mnodeling-character.Studentsandtheirteachersmightalsoenjoyttryingtheotherlessonsofferedin“PixarinaBox,”a“behind-the-scenes1]ook8击howPixarartistsdotheirjobs,?”atthttps://www.khanacademy.org/partner-content/pixar.It”SSagreatWaytoseehowmathisbeingusedtomakemoviesthesedays.[LlLlidoublechin:DreamWorks，“WhyComputerAnimationLooksSoDarnReal.”facialsurgery:Deuflhardetal.，“MathematicsinFacialSurgery”;Zachowetal.，“Computer-AssistedPlanning”;andZachow，“ComputationalPlanning.?

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