The multivariate quartic NURBS surfaces

被引：4

作者：

Li, CJ ^{[1
]}

Wang, RH ^{[1
]}

机构：

[1] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 163卷 / 01期

基金：

中国国家自然科学基金;

关键词：

multivariate quartic NURBS surface; multivariate spline space; bivariate quartic B-spline bases; type-2; triangulation;

D O I：

10.1016/j.cam.2003.08.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct a kind of multivariate quartic nonuniform rational B-spline (NURBS) surfaces by using bivariate quartic B-spline bases in the multivariate spline space S-4(2)(Delta(mn)((2))), and discuss some properties of this kind of NURBS surfaces with multiple knots on the type-2 triangulation. Compared with the bicubic (rational) Bezier surfaces, the new multivariate NURBS surfaces on the knot vectors of the form U = {0, 0, 0, 0, 1, 1, 1, 1} and V = {0, 0, 0, 0, 1, 1, 1, 1} have similar properties at the four edges of the surfaces. Several examples show that our multivariate B-spline surfaces are better than the corresponding bicubic Bezier surfaces. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：155 / 164

页数：10