KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2017-09-08 | |
| Source Publication | PLOS ONE
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| ISSN | 1932-6203 |
| Volume | 12Issue:9Pages:16 |
| Abstract | We 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. |
| DOI | 10.1371/journal.pone.0184206 |
| Language | 英语 |
| Funding Project | Science 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 Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:000410001100080 |
| Publisher | PUBLIC LIBRARY SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26574 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Chen, Minxin; Lu, Benzhuo |
| Affiliation | 1.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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