NURBS with Extraordinary Points: High-degree, Non-uniform, Rational Subdivision Schemes

被引：60

作者：

Cashman, Thomas J. ^{[1
]}

Augsdoerfer, Ursula H. ^{[1
]}

Dodgson, Neil A. ^{[1
]}

Sabin, Malcolm A.

机构：

[1] Univ Cambridge, Cambridge CB2 1TN, England

来源：

ACM TRANSACTIONS ON GRAPHICS | 2009年 / 28卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

B-SPLINE SURFACES;

D O I：

10.1145/1531326.1531352

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a subdivision framework that adds extraordinary vertices to NURBS of arbitrarily high degree. The surfaces can represent any odd degree NURBS patch exactly. Our rules handle non-uniform knot vectors, and are not restricted to midpoint knot insertion. In the absence of multiple knots at extraordinary points, the limit surfaces have bounded curvature.

引用

页数：9

共 34 条

[1] Tuning subdivision by minimising Gaussian curvature variation near extraordinary vertices [J].