C-Bézier和B-型样条闭曲线光滑性研究  

STUDY OF THE SMOOTH DEGREE OF THE CLOSED C-BEZIER AND B-TYPE SPLINE CURVE

作　　者：王行荣[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学杂志》2012年第4期709-715,共7页Journal of Mathematics

摘　　要：本文研究了与多边形相切的样条曲线的构造方法和基本属性问题,给出了曲线光顺度的一般定义和计算方法.利用该方法对分段C-Bézier曲线、4-5-5-4次交错B-样条曲线和3阶B样条曲线的光顺度进行计算,获得了3阶B样条曲线最为光顺的结果.This paper studies the constructing method and basic property of spline curves,which contacts the each edges of the characteristic polygon,gives the general definition of the smooth degree of a curve and the calculation method.By using this method,we calculate the smooth degree of closed C-Béier curve,4-5-5-4 degree and quadric closed B-spline curve,and obtain the result that the quadric B-spline is the most smooth.

关 键 词：C-BÉZIER曲线 4-5-5-4次交错B-样条曲线 3阶B样条曲线 光顺度 

分 类 号：O241.5[理学—计算数学]