| 基于球面三角网格逼近的等距曲面逼近算法 |
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| 引用本文： | 刘利刚,王国瑾.基于球面三角网格逼近的等距曲面逼近算法[J].工程图学学报,2000,21(3):70-75. |
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| 作者姓名： | 刘利刚 王国瑾 |
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| 作者单位： | 1. 浙江大学CAD&CG国家重点实验室
2. 浙江大学数学系 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金，国家重点基础研究“973”项目基金 |
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| 摘 要： | 给出了一种基于球面三角网格逼近的等距曲面逼近新算法。利用三角网格逼近基球面，然后计算此三角网格按中心沿在曲面扫凉而成空间区域的边界作为等距曲面的逼近。该算法计算简单，方便地解决了整体误差问题，而且所得到的逼近曲面是与原曲面同次数的NURBS曲面。
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| 关 键 词： | 等距曲面 球面 三角剖分 曲面逼近 算法 |
OFFSET SURFACE APPROXIMATION ALGORITHM BASED ON THE TRIANGULATION APPROXIMATION TO SPHERE |
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| Liu Ligang,Wang Guojin.OFFSET SURFACE APPROXIMATION ALGORITHM BASED ON THE TRIANGULATION APPROXIMATION TO SPHERE[J].Journal of Engineering Graphics,2000,21(3):70-75. |
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| Authors: | Liu Ligang Wang Guojin |
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| Affiliation: | Liu Ligang State Key Laboratory of CAD&CG,Zhejiang University Wang Guojin Department of Mathematics,Zhejiang University |
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| Abstract: | This paper presents a new algorithm for approximating offset surface based on the triangulation approximation mesh of the sphere. Given a NURBS surface and an offset radius, the base spherical surface whose radius equals to the offset one and whose center lays on the surface is first approximated by a triangulation mesh. The exact offset surface is then approximated by the convolution of the triangulation mesh. The processing of our algorithm is very easy and solves the integral tolerance. The approximated offset surface is composed of NURBS patches with the same degree. |
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| Keywords: | offset surface sphere surface triangulation meshes surface approximation |
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