| 基于约束优化的Bézier曲面形状修改 |
| |
| 引用本文： | 夏飞海,吴庆标. 基于约束优化的Bézier曲面形状修改[J]. 中国图象图形学报, 2006, 11(2): 265-268 |
| |
| 作者姓名： | 夏飞海 吴庆标 |
| |
| 作者单位： | 浙江大学数学系科学与工程计算研究所 杭州310028 |
| |
| 摘 要： | Bézier曲线和曲面广泛应用于CAGD(计算机辅助几何设计)和计算机图形学,对Bézier曲线或者曲面的设计和形状修改是一个重要的问题。研究了基于几何约束的Bézier曲面优化问题,对单点和多点约束的问题,提出了一种通过修改控制点的约束优化方法。用这种方法,通过修改原Bézier曲面的控制点来修改曲面的形状并满足给定的约束条件,同时给出了数值实例,其结果表明,用拉格朗日方法能有效地解决Bézier曲面的形状修改问题。
|
| 关 键 词： | Bézier曲面 约束优化 形状修改 控制点 |
| 文章编号： | 1006-8961(2006)02-0265-04 |
| 修稿时间： | 2004-04-16 |
Shape Modification of Bézier Surfaces by Contrained Optimization |
| |
| XIA Fei-hai,WU Qing-biao and XIA Fei-hai,WU Qing-biao. Shape Modification of Bézier Surfaces by Contrained Optimization[J]. Journal of Image and Graphics, 2006, 11(2): 265-268 |
| |
| Authors: | XIA Fei-hai WU Qing-biao XIA Fei-hai WU Qing-biao |
| |
| Abstract: | Bézier curve and surfaces are one kind of the most commonly used parametric curves in CAGD and computer graphics. Developingmore convenient techniques for designing and modifying Bézier curve and surfaces are an important problem. This paper investigates the optimal shapemodification ofBézier surfaces by geometric constraints. A constrained optimizationmethod based on changing the control points of the surfaces is presented in this paper. Ahich modifys control points of the originalBézier surfaces to satisfy the given constraints andmodify the shape of the surfaces optimally. Practical examples are also given. The results indicate thatLagrange multipliermethod is an effective way to solve the problem of shape ofBézier surfaces. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《中国图象图形学报》浏览原始摘要信息 |
|
点击此处可从《中国图象图形学报》下载免费的PDF全文 |
