| 基于能量优化的NURBS曲面几何特征修改 |
| |
| 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. DOI: 10.3778/j.issn.1002-8331.2008.26.012 |
| |
| 作者姓名： | 柳晓燕 冯锋 |
| |
| 作者单位： | 西安邮电学院,应用数学与应用物理系,西安,710121;西安邮电学院,应用数学与应用物理系,西安,710121 |
| |
| 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。
|
| 关 键 词： | 非统一有理B样务曲面 能量优化 几何特征 形状修改 |
| 收稿时间： | 2007-11-06 |
| 修稿时间： | 2008-1-31 |
Geometric features modification of NURBS surfaces via energy optimization |
| |
| LIU Xiao-yan,FENG Feng. Geometric features modification of NURBS surfaces via energy optimization[J]. Computer Engineering and Applications, 2008, 44(26): 41-44. DOI: 10.3778/j.issn.1002-8331.2008.26.012 |
| |
| Authors: | LIU Xiao-yan FENG Feng |
| |
| Affiliation: | Department of Applied Math. and Applied Physics，Xi’an Institute of Posts and Telecommunications，Xi’an 710121，China |
| |
| 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. |
| |
| Keywords: | Non-Uniform Rational B-Splines(NURBS) surfaces energy optimization geometric features shape modification |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载免费的PDF全文 |
