VERIFYING THE IMPLICITIZATION FOR MULAE FORDEGREE n RATIONAL BEZIER CURVES  

作　　者：Wang, GJ Sederberg, TW 

机构地区：[1]Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA [2]Zhejiang Univ, Dept Appl Math, Hangzhou 310027, Peoples R China

出　　处：《Journal of Computational Mathematics》1999年第1期33-40,共8页计算数学（英文）

摘　　要：This is a continuation of short communication([1]). In [1] a verification of the implicitization equation for degree two rational Bezier curves is presented which does not require the use of resultants. This paper presents these verifications in the general cases, i.e., for degree n rational Bezier curves. Thus some interesting interplay between the structure of the n x n implicitization matrix and the de Casteljau algorithm is revealed.This is a continuation of short communication([1]). In [1] a verification of the implicitization equation for degree two rational Bezier curves is presented which does not require the use of resultants. This paper presents these verifications in the general cases, i.e., for degree n rational Bezier curves. Thus some interesting interplay between the structure of the n x n implicitization matrix and the de Casteljau algorithm is revealed.

关 键 词：rational Bezier curve IMPLICITIZATION RESULTANT de Casteljau algorithm 

分 类 号：O241[理学—计算数学]