A UNIFIED APPROACH TO SUBDIVISION ALGORITHMS NEAR EXTRAORDINARY VERTICES

被引：236

作者：

REIF, U

机构：

[1] Mathematisches Institut A, Universität Stuttgart, 70511 Stuttgart

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1995年 / 12卷 / 02期

关键词：

SUBDIVISION; ARBITRARY TOPOLOGY; REGULAR SURFACE; CHARACTERISTIC MAP; EXTRAORDINARY VERTEX;

D O I：

10.1016/0167-8396(94)00007-F

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a unified approach to subdivision algorithms for meshes with arbitrary topology which admits a rigorous analysis of the generated surface and give a sufficient condition for the regularity of the surface, i.e. for the existence of a regular smooth parametrization near the extraordinary point. The criterion is easily applicable to all known algorithms such as those of Doo-Sabin and Catmull-Clark, but will also be useful to construct new algorithms like interpolatory subdivision schemes.

引用

页码：153 / 174

页数：22

共 8 条

[1] A MATRIX APPROACH TO THE ANALYSIS OF RECURSIVELY GENERATED B-SPLINE SURFACES [J].