Approximate merging of Bézier curves with generalized inverse matrices(基于广义逆矩阵的Bézier曲线近似合并)

ZHUPing(朱平); YURen-liang(余任亮); WANGGuo-zhao(汪国昭)

doi:10.3785/j.issn.1008-9497.2009.06.011

Zhejiang Daxue xuebao. Lixue ban (Nov 2009)

Approximate merging of Bézier curves with generalized inverse matrices(基于广义逆矩阵的Bézier曲线近似合并)

ZHUPing(朱平),
YURen-liang(余任亮),
WANGGuo-zhao(汪国昭)

Affiliations

ZHUPing(朱平): 1.Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系计算机图像图形研究所，浙江杭州 310027)
YURen-liang(余任亮): 2.Faculty of Foundational Education, Jiujiang Vocational University, Jiujiang 332000, Jiangxi Province, China( 2.九江职业大学公共教学部，江西九江 332000)
WANGGuo-zhao(汪国昭): 1.Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China( 1.浙江大学数学系计算机图像图形研究所，浙江杭州 310027)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2009.06.011
Journal volume & issue: Vol. 36, no. 6
pp. 653 – 657

Abstract

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Bézier曲线近似合并算法在几何数据压缩方面有着重要的应用.研究了两条相邻Bézier曲线近似合并的问题,用矩阵的形式给出了相邻Bézier曲线可精确合并的条件,并在此基础上通过广义逆矩阵的方法求解合并逼近后的Bézier曲线.同时,对保端点插值条件的近似合并也给出了结果.最后用实例说明了算法的有效性,得到了很好的逼近效果.

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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