Bézier representation of geometrically continuous splines

被引：2

作者：

Diao LuhongDong JunliangLiu Leiand Nan Dong College of Applied SciencesBeijing University of TechnologyBeijing China ^{[100124
]}

机构：

来源：

Computer Aided Drafting,Design and Manufacturing | 2012年 / 01期

关键词：

geometric continuity; Bézier basis functions; conversion matrixs;

D O I：

10.19583/j.1003-4951.2012.01.008

中图分类号：

TP391.72 [];

学科分类号：

080201 ; 080203 ; 081304 ; 1403 ;

摘要：

As an intrinsic measure of smoothness,geometric continuity is an important problem in the fields of computer aided geometric design.It can afford more degrees of freedom for manipulating the shape of curve.However,piecewise polynomial functions of geometrically continuous splines are difficult to be constructed.In this paper,the conversion matrix between geometrically continuous spline basis functions and Bézier representation is analyzed.Based on this,construction of arbitrary degree geometrically continuous spline basis functions can be translated into a solution of linear system of equations.The original construction of geometrically continuous spline is simplified.

引用

页码：40 / 43

页数：4

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