A normalized basis for quintic Powell-Sabin splines

被引：46
|
作者：
Speleers, Hendrik [1 ]
机构：
[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Louvain, Belgium
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2010年 / 27卷 / 06期
关键词：
Quintic Powell-Sabin splines; Normalized B-splines; Control points; Control polynomials; Bezier control net; MACRO-ELEMENTS; B-SPLINES; TRIANGULATIONS;
D O I：
10.1016/j.cagd.2010.05.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We construct a suitable normalized B-spline representation for C(2)-continuous quintic Powell-Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are tangent to the spline surface. We also show how to compute the Bezier control net of such a spline in a stable way. (C) 2010 Elsevier B.V. All rights reserved.
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页码：438 / 457
页数：20
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