B-spline curve fairing with constraints(B样条曲线的约束光顺算法)

LUOWei-lan(罗卫兰); YANGXun-man(杨勋年); ZHENGJian-min(郑建民)

doi:zjup/1008-9497.2004.31.1.51-57

Zhejiang Daxue xuebao. Lixue ban (Jan 2004)

B-spline curve fairing with constraints(B样条曲线的约束光顺算法)

LUOWei-lan(罗卫兰),
YANGXun-man(杨勋年),
ZHENGJian-min(郑建民)

Affiliations

LUOWei-lan(罗卫兰): Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China(浙江大学计算机图像图形研究所, 浙江杭州 310027)
YANGXun-man(杨勋年): Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China(浙江大学计算机图像图形研究所, 浙江杭州 310027)
ZHENGJian-min(郑建民): Institute of Computer Graphics and Image Processing, Zhejiang University, Hangzhou 310027, China(浙江大学计算机图像图形研究所, 浙江杭州 310027)

DOI
Journal volume & issue: Vol. 31, no. 1
pp. 51 – 57

Abstract

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在工业设计和反求工程中,B样条曲线是一种进行形状设计和数据拟合的重要工具.B样条曲线的光顺性对最终产品的外观质量有着直接影响.作者给出B样条曲线一种新的光顺算法.B样条曲线的形状可以通过扰动控制顶点来修改.控制顶点的扰动幅度通过β约束实现,而整条曲线的形状可由α约束来反映.最终通过求解线性方程组得到光顺曲线.该算法既可以对曲线进行全局光顺,又可以进行局部光顺.作者还给出了由模拟数据和真实采样数据拟合的B样条曲线光顺的实例.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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