| 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. |
| 关键词: B-样条曲线 节点插入 节点去除 光顺 约 束优化 |
| DOI： |
| 分类号: |
| 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) |
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| Knot-Removal and Fairing of B-Spline Curves |
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MAN Jia-ju,HU Shi-min,YONG Jun-hai,SUN Jia-guang
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| 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. |
| Key words: B-spline curve knot-insert knot-re moval fairing constrained optimization |
