THB-splines: The truncated basis for hierarchical splines

被引：367
作者：
Giannelli, Carlotta [1 ]
Juettler, Bert [1 ]
Speleers, Hendrik [2 ]
机构：
[1] Johannes Kepler Univ Linz, Inst Appl Geometry, A-4040 Linz, Austria
[2] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Heverlee, Belgium
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2012年 / 29卷 / 07期
关键词：
Hierarchical tensor-product B-splines; Truncated basis; Local refinement; Partition of unity; LOCAL REFINEMENT; ISOGEOMETRIC ANALYSIS; POLYNOMIAL SPLINES; T-SPLINES; MESHES;
D O I：
10.1016/j.cagd.2012.03.025
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines. This truncation not only decreases the overlapping of supports related to basis functions arising from different hierarchical levels, but it also improves the numerical properties of the corresponding hierarchical basis which is denoted as truncated hierarchical B-spline (THB-spline) basis. Several computed examples will illustrate the adaptive approximation behavior obtained by using a refinement algorithm based on THB-splines. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：485 / 498
页数：14
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