带形状参数Bézier曲线最小平方降阶逼近  

Least Squares Degree Reduction Approximation of Bézier Curves with Shape Parameter

作　　者：王文涛[1] 

机构地区：[1]嘉兴学院数学与信息工程学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2008年第6期5-10,126,共7页Journal of Jiaxing University

基　　金：浙江省教育厅青年教师资助项目(00505163);浙江省教育厅科研项目(20070602)

摘　　要：给出了基于L2范数下用m次(m≤m)带形状参数Bézier曲线最小平方逼近n+1次带形状参数Bézier曲线的方法,同时也考虑了C0和C1约束条件下的最小平方降阶逼近.通过解线性方程组可得到新的降阶逼近曲线的控制顶点,降阶逼近曲线的误差也可计算.This paper presents a method for constructing an approximative Bézier curve with shape parameter of degree m（ m ≤ n） to a Bézier curve with shape parameter of degree n ＋ 1 by L2 norm. At the same time the problems of least squares degree reduction of B6zier curves with shape parameter in Co and C1 constraint condition are researched. The new control points of approximation Bézier curve with shape parameter can be confirmed by solving linear equations and the error can also be computed.

关 键 词：降阶 带形状参数Bézier曲线 最小平方逼近 L2范数 

分 类 号：O241.5[理学—计算数学]