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VERIFYING THE IMPLICITIZATION FOR MULAE FORDEGREE n RATIONAL BEZIER CURVES
作者姓名:Guo-jin  Wang
作者单位:Guo-jin Wang(Department of Applied Mathematics,Zhejiang University,Hangzhou 510027,China)T.W. Sederberg(Department Of Computer Science,Brigham Young University,Provo,UT 84602,USA)
摘    要:1.IntroductionInordertoinvestigateimplicitrepresentationsofparametriccurvesandsurfaces,thetraditionalalgebraicgeometrytheoryisalwaysused.Recentlysomeresearchreports,e.g.1],showthattherisingBlossomingprinciple213]ismoreintuitiveandefficientthanthemethodofalgebraicgeometryfortheimplicitization.Thispaperisacotinuationof1].GivenadegreenplanerationalBenercurvewherePi~(wixi,fiji,fi)arethehomogeneousB6ziercontrolpoints.DenotebywhereP~(x,y,w)isthehomogeneouspoint.LetUsingpolynomialresultants,th…


VERIFYING THE IMPLICITIZATION FORMULAE FORDEGREE n RATIONAL BEZIER CURVES
Guo-jin Wang.VERIFYING THE IMPLICITIZATION FOR MULAE FORDEGREE n RATIONAL BEZIER CURVES[J].Journal of Computational Mathematics,1999(1).
Authors:Guo-jin Wang
Abstract:
Keywords:Rational Bezier curve  Implicitization  Resultant  de Casteljau algorithm    
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