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原曲面扫掠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。
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.
出处
《工程图学学报》
CSCD
2000年第3期70-75,共6页
Journal of Engineering Graphics
基金
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
关键词
等距曲面
球面
三角剖分
曲面逼近
算法
offset surface, sphere surface, triangulation meshes, surface approximation
