| 基于能量优化的NURBS曲面几何特征修改 |
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| 引用本文： | 柳晓燕,冯锋.基于能量优化的NURBS曲面几何特征修改[J].计算机工程与应用,2008,44(26):41-44. |
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| 作者姓名： | 柳晓燕 冯锋 |
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| 作者单位： | 西安邮电学院,应用数学与应用物理系,西安,710121 |
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| 摘 要： | NURBS作为曲面造型技术中的重要方法之一,在计算机辅助几何设计和计算机图形学领域中有着广泛的应用。针对NURBS曲面的几何特征修改,提出了基于能量优化的修改方法。通过对NURBS曲面的控制顶点进行扰动,以曲面的应力能改变为目标函数并使之最小化,实现了NURBS曲面上给定多个点处的位置、一阶偏导矢、二阶偏导矢和法矢等几何特征的修改。数值实例表明该方法用于微调时,可实现对曲面局部形状的多种修改效果,便于交互设计。
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| 关 键 词： | 非统一有理B样条曲面 能量优化 几何特征 形状修改 |
| 收稿时间： | 2007-11-6 |
| 修稿时间： | 2008-1-31
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Geometric features modification of NURBS surfaces via energy optimization |
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| LIU Xiao-yan,FENG Feng.Geometric features modification of NURBS surfaces via energy optimization[J].Computer Engineering and Applications,2008,44(26):41-44. |
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| Authors: | LIU Xiao-yan FENG Feng |
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| Affiliation: | Department of Applied Math. and Applied Physics，Xi’an Institute of Posts and Telecommunications，Xi’an 710121，China |
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| Abstract: | NURBS surfaces are one of the most crucial techniques in surface modeling,which has extensive applications in various aspects of CAGD/CG.This paper is devoted to the shape modification of NURBS surfaces,in which a method based on energy optimization is proposed.Specifically,geometric features(such as position,partial derivative or normal vector) of the selected parametric points on a given NURBS surface are modified,by minimizing the strain energy of the error surface.The numerical examples show that this method can realize miscellaneous modification effects and is convenient for interactive design. |
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| Keywords: | Non-Uniform Rational B-Splines(NURBS) surfaces energy optimization geometric features shape modification |
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