Smoothness of subdivision surfaces at extraordinary points

被引：46

作者：

Prautzsch, H ^{[1
]}

机构：

[1] Univ Karlsruhe, IBDS, D-76128 Karlsruhe, Germany

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 1998年 / 9卷 / 3-4期

关键词：

subdivision; extraordinary points; regular G(k)-surfaces; matrix iteration;

D O I：

10.1023/A:1018945708536

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stationary subdivision scheme such as Catmull and Clark's is described by a matrix iteration around an extraordinary point. We show how higher order smoothness of a limiting surface obtained by a stationary subdivision algorithm for tri- or quadrilateral nets depends on the spectral properties of the matrix and give necessary and sufficient conditions. The results are also useful to construct subdivision algorithms for surfaces of any smoothness order at extraordinary points.

引用

页码：377 / 389

页数：13

共 23 条

[1] CONDITIONS FOR TANGENT PLANE CONTINUITY OVER RECURSIVELY GENERATED B-SPLINE SURFACES [J].