Geometric Algebra for Computer Science 计算机科学用几何代数学：面向对象的几何学方法

图书标准信息

• 作者 Leo、Daniel、Stephen Mann 著
• 出版社 Morgan Kaufmann
• 出版时间 2009-03
• 版次 1
• ISBN 9780123749420
• 定价 711.60元
• 装帧 精装
• 开本 其他
• 纸张 其他
• 页数 664页
• 正文语种 英语

【内容简介】

Untilrecently,alloftheinteractionsbetweenobjectsinvirtual3Dworldshavebeenbasedoncalculationsperformedusinglinearalgebra.Linearalgebrareliesheavilyoncoordinates,however,whichcanmakemanygeometricprogrammingtasksveryspecificandcomplex-oftenalotofeffortisrequiredtobringaboutevenmodestperformanceenhancements.Althoughlinearalgebraisanefficientwaytospecifylow-levelcomputations,itisnotasuitablehigh-levellanguageforgeometricprogramming."GeometricAlgebraforComputerScience"presentsacompellingalternativetothelimitationsoflinearalgebra.Geometricalgebra,orGA,isacompact,time-effective,andperformance-enhancingwaytorepresentthegeometryof3Dobjectsincomputerprograms.InthisbookyouwillfindanintroductiontoGAthatwillgiveyouastronggraspofitsrelationshiptolinearalgebraanditssignificanceforyourwork.YouwilllearnhowtouseGAtorepresentobjectsandperformgeometricoperationsonthem.AndyouwillbeginmasteringproventechniquesformakingGAanintegralpartofyourapplicationsinawaythatsimplifiesyourcodewithoutslowingitdown.ThistitleexplainsGAasanaturalextensionoflinearalgebraandconveysitssignificancefor3Dprogrammingofgeometryingraphics,vision,androbotics.ItsystematicallyexplorestheconceptsandtechniquesthatarekeytorepresentingelementaryobjectsandgeometricoperatorsusingGA.Itcoversindetailtheconformalmodel,aconvenientwaytoimplement3Dgeometryusinga5Drepresentationspace.ItpresentseffectiveapproachestomakingGAanintegralpartofyourprogramming.Itincludesnumerousdrillsandprogrammingexerciseshelpfulforbothstudentsandpractitioners.CompanionwebsiteincludeslinkstoGAViewer,aprogramthatwillallowyoutointeractwithmanyofthe3Dfiguresinthebook,andGaigen2,theplatformfortheinstructiveprogrammingexercisesthatconcludeeachchapter.

【作者简介】

DanielFontijneholdsaMaster'sdegreeinartificialIntelligenceandaPh.D.inComputerScience,bothfromtheUniversityofAmsterdam.Hismainprofessionalinterestsarecomputergraphics,motioncapture,andcomputervision.