vector math for 3d computer graphics - interactive tutorial

《vector math for 3d computer graphics - interactive tutorial》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、VectorMathTutorialfor3DComputerGraphicsVectorMathfor3DComputerGraphicsAnInteractiveTutorialSecondRevision,July2000Thisisatutorialonvectoralgebraandmatrixalgebrafromtheviewpointofcomputergraphics.Itcoversmostvectorandmatrixtopicsneededforcollege-levelcomputergraphicstextbooks.Mostgraphicste

2、xtscoverthesesubjectsinanappendix,butitisoftentooshort.Thistutorialcoversthesamematerialatgreaterlength,andwithmanyexamples.·Chapter1---Vectors,Points,andDisplacement·Chapter2---VectorAddition·Chapter3---DisplacementVectors·Chapter4---LengthofVectors·Chapter5---DirectionofVectors·Chapter6-

3、--ScalingandUnitVectors·Chapter7---TheDotProduct·Chapter8---LengthandtheDotProduct·Chapter9---TheAnglebetweentwoVectors.·Chapter10---TheAnglebetween3DVectors.·Chapter11---ProjectingoneVectorontoAnother.·Chapter12---VectorCrossProduct.·Chapter13---MatricesandSimpleMatrixOperations.·Chapter1

4、4---Matrix-ColumnMatrixMultiplicaton.·Chapter15---Matrix-MatrixMultiplication·Chapter16---IdentityMatrixandMatrixInverse·IndexAlthoughprimarilyaimedatcomputersciencestudents,thistutorialisusefultoallprogrammersinterestedin3Dcomputergraphicsor3Dcomputergameprogramming.Inspitefile:///C

5、/Inet

6、Pub/wwwroot/VectorLessons/vectorIndex.html(1of2)[10/9/012:23:19PM]VectorMathTutorialfor3DComputerGraphicsoftheirappealingblood-and-gorecovers,masstradebooksongameprogrammingrequirethesameunderstandingofvectorsandmatricesasmorestaidtextbooks(andusuallydeferthesetopicstothesameskimpymathemat

7、icalappendix).Thistutorialisusefulformorethancomputergraphics.Vectorsandmatricesareusedinallscientificandengineeringfields,andanyotherfieldthatusescomputers(arethereanythatdon't?)Inmanyfields,thevocabularyusedforvectorsandmatricesdoesnotmatchthatusedincomputergraphics.Buttheideasarethesame

8、,andreadingthesenoteswilltakeonlyaslightmentaladjustment.Thesenotesassumethatyouhavestudiedplanegeometryandtrigonometrysometimeinthepast.Notionssuchas"point","line","plane",and"angle"shouldbefamiliartoyou.Othernotionssuchas"sine","cosine","determinant","realnu