| NURBS扫描体的逼近算法研究 |
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| 引用本文： | 何朝阳,李际军.NURBS扫描体的逼近算法研究[J].计算机工程,2006,32(15):58-60,6. |
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| 作者姓名： | 何朝阳 李际军 |
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| 作者单位： | 1. 浙江工业大学之江学院,杭州,310024;浙江大学计算机学院,杭州,310027
2. 浙江大学计算机学院,杭州,310027 |
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| 基金项目： | 浙江省科技计划;浙江省教育厅资助项目 |
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| 摘 要： | 提供了一种NURBS扫描体的逼近方法。该方法主要步骤：(1)通过系列平面切割，把NURBS曲面(实体)进行降维处理，变成平面曲线；(2)为曲线设置局部标架；(3)在局部标架下求出每一曲线在每一时刻的极值点后将其转换成原曲线的奇异点；(4)使用marching cubes算法剔除扫描体内部点，保留扫描体边界上的奇异点；(5)由所有保留点拟合成奇异曲面。本算法能较好地逼近NURBS扫描体，其逼近精度可通过控制切割精度和扫描过程中时间间隔的选取而得到有效控制。
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| 关 键 词： | NURBS曲面(实体) 扫描体 marching cubes算法 |
| 文章编号： | 1000-3428（2006）15-0058-03 |
| 收稿时间： | 2005-08-16 |
| 修稿时间： | 2005-08-16 |
Research on an Approximating Algorithm of NURBS Swept Volumes |
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| HE Chaoyang,LI Jijun.Research on an Approximating Algorithm of NURBS Swept Volumes[J].Computer Engineering,2006,32(15):58-60,6. |
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| Authors: | HE Chaoyang LI Jijun |
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| Affiliation: | 1. Zhijiang College, Zhejiang University of Technology, Hangzhou 310024; 2. College of Computer Science, Zhejiang University, Hangzhou 310027 |
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| Abstract: | This paper presents a method of approximating swept volume of NURBS surfaces or solids.The method consists of(1)slicing the NURBS surfaces or solids by a series of plane and forming the sliced curves;(2)setting up the local moving coordinate system;(3)determining the singular points by obtaining local maxima and minima points at discrete frames during motion with respect to the local coordinate system;(4)using fast marching cubes method trimming the inside points of the swept volumes;(5)fitting each NURBS singular surface(envelope) by approximating or interpolating method.The errors of this method would be controlled by the number of slicing plane and the interval of the motion times in sweeping. |
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| Keywords: | NURBS surfaces or solids Swept volume Marching cubes algorithm |
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