GENERALIZED SUBDIVISION AND CONVERGENCE.

被引：5

作者：

Prautzsch, Hartmut ^{[1
]}

机构：

[1] Technische Univ Braunschweig, Braunschweig, West Ger, Technische Univ Braunschweig, Braunschweig, West Ger

来源：

Computer Aided Geometric Design | 1984年 / 2卷 / 1-3期

关键词：

COMPUTER PROGRAMMING - Algorithms - MATHEMATICAL TECHNIQUES - Interpolation - SURFACES - Computer Aided Design;

D O I：

10.1016/0167-8396(85)90009-3

中图分类号：

学科分类号：

摘要：

The subdivision algorithm for box splines over a triangular grid is considered. It is shown that the refined net, viewed as a piecewise linear approximation converges to the spline surface at the rate of 1/r**2 where r is the degree of refinement. Further generalization of the subdivision algorithm are given: The corresponding algorithms compute 'control' nets that converge to the surface at the rate of 1/r**3 or 1/r**4 respectively.

引用

页码：69 / 75