Volumetric parametrization from a level set boundary representation with PHT-splines

被引:44
|
作者
Chan, Chiu Ling [3 ]
Anitescu, Cosmin [3 ]
Timon Rabczuk [1 ,2 ,3 ]
机构
[1] Ton Duc Thang Univ, Div Computat Mech, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[3] Bauhaus Univ Weimar, Inst Struct Mech, Weimar, Germany
关键词
Volumetric parametrization; Boundary representation; PHT-splines; Level set method; ADAPTIVE ISOGEOMETRIC ANALYSIS; NURBS; REFINEMENT; CURVATURE; MESH; CAD;
D O I
10.1016/j.cad.2016.08.008
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A challenge in isogeometric analysis is constructing analysis-suitable volumetric meshes which can accurately represent the geometry of a given physical domain. In this paper, we propose a method to derive a spline-based representation of a domain of interest from voxel-based data. We show an efficient way to obtain a boundary representation of the domain by a level-set function. Then, we use the geometric information from the boundary (the normal vectors and curvature) to construct a matching C-1 representation with hierarchical cubic splines. The approximation is done by a single template and linear transformations (scaling, translations and rotations) without the need for solving an optimization problem. We illustrate our method with several examples in two and three dimensions, and show good performance on some standard benchmark test problems. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:29 / 41
页数:13
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