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| 基于约束优化的Bézier曲线的形状修改 |
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徐立1, 陈玉健1, 胡毓宁2
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1.清华大学,计算机科学与技术系,北京,100084;2.浙江大学,城市学院,浙江,杭州,310027
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| 摘要: |
| 在计算机辅助几何设计和计算机图形学中,Bézier曲线是一种常用的参数曲线,如何方便地设计和修改Bézier曲线是一个重要研究课题.研究了基于几何约束的Bézier曲线的优化的形状修改,提出一种基于修改曲线控制顶点的约束优化方法.该方法通过修改初始Bézier曲线的控制点来满足给定的约束,并理想地修改曲线的形状.同时给出了一些实例. |
| 关键词: 形状修改 Bézier曲线 约束优化 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant No.69902004 (国家自然科学基金) and the National Grand Fundamental Research 973 Program of China under Grant No.1998030600 (国家重点基础研究发展规划973项目基金) |
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| Shape Modification of Bézier Curves by Constrained Optimization |
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XU Li,CHEN Yu-jian,HU Yu-ning
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| Abstract: |
| Bézier curve is one kind of the most commonly used parametric curves in CAGD and Computer Graphics. Developing more convenient techniques for desigew method is presented in this paper by constrained optimization based on changing the control points of the curves. By this method, the authors modify control y the shape of the curves optimally. Practical examples are also given. |
| Key words: shape modification Bézier curve constrained optimization |
