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Tetrahedral meshing via maximal Poisson-disk sampling
Guo, Jianwei1; Yan, Dong-Ming1; Chen, Li2; Zhang, Xiaopeng1; Deussen, Oliver3,4; Wonka, Peter5; Dong-Ming Yan
AbstractIn this paper, we propose a simple yet effective method to generate 3D-conforming tetrahedral meshes from closed 2-manifold surfaces: Our approach is inspired by recent work on maximal Poisson-disk sampling (MPS), which can generate well-distributed point sets in arbitrary domains. We first perform MPS on the boundary of the input domain, we then sample the interior of the domain, and we finally extract the tetrahedral mesh from the samples by using 3D Delaunay or regular triangulation for uniform or adaptive sampling, respectively. We also propose an efficient optimization strategy to protect the domain boundaries and to remove slivers to improve the meshing quality. We present various experimental results to illustrate the efficiency and the robustness of our proposed approach. We demonstrate that the performance and quality (e.g., minimal dihedral angle) of our approach are superior to current state-of-the-art optimization-based approaches. (C) 2016 Elsevier B.V. All rights reserved.
KeywordTetrahedral Mesh Generation Maximal Poisson-disk Sampling Sliver Removal Mesh Optimization
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China(61372168 ; China National 863 Program(2015AA016402) ; Foreign 1000 Talent Plan(WQ201344000169) ; 61331018 ; 61272225 ; 61572274 ; 61271431)
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000374599700016
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Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Corresponding AuthorDong-Ming Yan
Affiliation1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
2.Tsinghua Univ, Sch Software, Beijing 100084, Peoples R China
3.Univ Konstanz, D-78457 Constance, Germany
4.Shenzhen Key Lab Visual Comp & Visual Analyt SIAT, Shenzhen 518055, Peoples R China
5.King Abdullah Univ Sci & Technol, Visual Comp Ctr, Thuwal 239556900, Saudi Arabia
First Author AffilicationChinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Guo, Jianwei,Yan, Dong-Ming,Chen, Li,et al. Tetrahedral meshing via maximal Poisson-disk sampling[J]. COMPUTER AIDED GEOMETRIC DESIGN,2016,43(43):186-199.
APA Guo, Jianwei.,Yan, Dong-Ming.,Chen, Li.,Zhang, Xiaopeng.,Deussen, Oliver.,...&Dong-Ming Yan.(2016).Tetrahedral meshing via maximal Poisson-disk sampling.COMPUTER AIDED GEOMETRIC DESIGN,43(43),186-199.
MLA Guo, Jianwei,et al."Tetrahedral meshing via maximal Poisson-disk sampling".COMPUTER AIDED GEOMETRIC DESIGN 43.43(2016):186-199.
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