TESSELLATING TRIMMED NURBS SURFACES

被引：83

作者：

PIEGL, LA

RICHARD, AM

机构：

[1] Department of Computer Science and Engineering, University of South Florida, Tampa, FL 33620, ENG 118

来源：

COMPUTER-AIDED DESIGN | 1995年 / 27卷 / 01期

基金：

美国国家科学基金会;

关键词：

NURBS; TESSELLATION; VISUALIZATION;

D O I：

10.1016/0010-4485(95)90749-6

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An algorithm for obtaining a piecewise planar approximation of a trimmed NURBS surface is presented. Given a model space tolerance epsilon, the algorithm triangulates the parameter space domain of the trimmed surface such that the 3D planar approximation, obtained by mapping 2D triangles onto the surface, deviates from the trimmed surface by no more than epsilon. The number of triangles computed in parameter space depends on the bounds of the second derivatives. A detailed discussion of the algorithm and a practical error analysis of the tessellation are provided.

引用

页码：16 / 26

页数：11

共 19 条

[1] FREE-FORM SOLID MODELING WITH TRIMMED SURFACE PATCHES [J].