The simplest subdivision scheme for smoothing polyhedra

被引：168

作者：

Peters, J ^{[1
]}

Reif, U ^{[1
]}

机构：

[1] UNIV STUTTGART,D-7000 STUTTGART,GERMANY

来源：

ACM TRANSACTIONS ON GRAPHICS | 1997年 / 16卷 / 04期

关键词：

algorithms; design; arbitrary topology; box-spline; characteristic map; simplest smooth subdivision; surface;

D O I：

10.1145/263834.263851

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 [计算机软件与理论]; 0835 [软件工程];

摘要：

Given a polyhedron, construct a new polyhedron by connecting every edge-midpoint to its four neighboring edge-midpoints. This refinement rule yields a C-1 surface and the surface has a piecewise quadratic parametrization except at a finite number of isolated points. We analyze and improve the construction.

引用

页码：420 / 431

页数：12

共 11 条

[1]

BOOR CD, 1994, BOX SPLINES

[2]

RECURSIVELY GENERATED B-SPLINE SURFACES ON ARBITRARY TOPOLOGICAL MESHES [J].