浙江大学学报（理学版）2009，Vol.36Issue(6)：653-657,5.DOI:10.3785/j.issn.1008-9497.2009.06.011
基于广义逆矩阵的Bézier曲线近似合并
Approximate merging of Bézier curves with generalized inverse matrices
摘要
Abstract
Approximate merging algorithm of Bézier curves plays an important role of geometric data compression.A new approach to considering approximate merging of two adjacent Bézier curves is presented and the condition of precise merging of adjacent Bézier curves by taking advantage of matrix representation is obtained.Then the merged Bézier curve by generalized inverse matrices based on precise merging condition is solved.At the same time,the result of approximate merging with endpoint interpolation is showed.Finally,numerical examples demonstrate the effectiveness of our algorithms.关键词
Bézier曲线/近似合并/端点插值/矩阵表示/广义逆矩阵Key words
Bezier curve/approximate merging/endpoint interpolation/matrix representation/generalized inverse matrice分类
信息技术与安全科学引用本文复制引用
朱平,余任亮,汪国昭..基于广义逆矩阵的Bézier曲线近似合并[J].浙江大学学报（理学版）,2009,36(6):653-657,5.基金项目
国家自然科学基金资助项目(60773179) （60773179）
973国家重点基础研究发展项目(No.G2004CB318000). （No.G2004CB318000）
