Journal of Software:2001.12(1):143-147

(清华大学 国家CAD工程中心,北京 100084 浙江大学 应用数学系,浙江 杭州 310027;清华大学 国家CAD工程中心,北京 100084,清华大学 计算机科学与技术系,北京 100084)
Knot-Removal and Fairing of B-Spline Curves
MAN Jia-ju,HU Shi-min,YONG Jun-hai,SUN Jia-guang
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Received:July 14, 1999    Revised:October 27, 1999
> 中文摘要: 研究了B-样条曲线节点的去除问题,简化了B-样条曲线内部节点精确去除的充要条件.基于约束优化方法,通过扰动B-样条曲线的控制顶点,给出了节点去除的一个新算法,并用于光顺B-样条曲线.
Abstract:The problem of knot-removal for B-spline curves is investigated in this paper. The sufficient and necessary condition for removing knots of B-spline curves e xactly is simplified. Based on the constrained optimization method, a new algori thm of knot-removal is derived by perturbing the control points of B-spline cu rves. This method can also be used to fair B-spline curves.
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基金项目:国家自然科学基金资助项目(69902004);浙江省自然科学 基金资助项目(198022) 国家自然科学基金资助项目(69902004);浙江省自然科学 基金资助项目(198022)
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MAN Jia-ju,HU Shi-min,YONG Jun-hai,SUN Jia-guang.Knot-Removal and Fairing of B-Spline Curves.Journal of Software,2001,12(1):143-147