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Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection
Liu, Tiantian1,2; Chen, Minxin1; Song, Yu3; Li, Hongliang3; Lu, Benzhuo2
2017-09-08
Source PublicationPLOS ONE
ISSN1932-6203
Volume12Issue:9Pages:16
AbstractWe present a systematic procedure to improve the qualities of triangular molecular surface meshes and at the same time preserve the manifoldness. The procedure utilizes an algorithm to remove redundant points having three or four valences and another algorithm to smooth the mesh using a modified version of Laplacian method without causing intersecting triangles. This approach can be effectively applied to any manifold surface meshes with arbitrary complex geometry. In this paper, the tested meshes are biomolecular surface meshes exhibiting typically highly irregular geometry. The results show that the qualities of the surface meshes are greatly improved and the manifoldness of the surface meshes are preserved. Compared with the original meshes, these improved molecular surface meshes can be directly applied to boundary element simulations and generation of body-fitted volume meshes using Tetgen. The procedure has been incorporated into our triangular molecular surface mesh generator, TMSmesh 2.0. It can be also used as a standalone program and works together with any other surface triangular mesh generator to obtain qualified manifold mesh. The package is downloadable at https://doi.org/10.6084/m9. figshare. 5346169.v1 and can be run online at http://www.xyzgate.com.
DOI10.1371/journal.pone.0184206
Language英语
Funding ProjectScience Challenge Project[TZ2016003] ; China NSF[NSFC 91530102] ; China NSF[NSFC 21573274] ; China NSF[NSFC 11301368] ; China NSF[NSFC 11404300] ; NSF of Jiangsu Province[BK20130278]
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000410001100080
PublisherPUBLIC LIBRARY SCIENCE
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26574
Collection计算数学与科学工程计算研究所
Affiliation1.Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Natl Ctr Math & Interdisciplinary Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.China Acad Engn Phys, Microsyst Terahertz Res Ctr, Chengdu, Sichuan, Peoples R China
Recommended Citation
GB/T 7714
Liu, Tiantian,Chen, Minxin,Song, Yu,et al. Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection[J]. PLOS ONE,2017,12(9):16.
APA Liu, Tiantian,Chen, Minxin,Song, Yu,Li, Hongliang,&Lu, Benzhuo.(2017).Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection.PLOS ONE,12(9),16.
MLA Liu, Tiantian,et al."Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection".PLOS ONE 12.9(2017):16.
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