Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection

doi:10.1371/journal.pone.0184206

	Quality improvement of surface triangular mesh using a modified Laplacian smoothing approach avoiding intersection
	Liu, Tiantian 1,2; Chen, Minxin 1; Song, Yu 3; Li, Hongliang 3; Lu, Benzhuo2
	2017-09-08
发表期刊	PLOS ONE
ISSN	1932-6203
卷号	12 期号:9 页码:16
摘要	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
语种	英语
资助项目	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研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000410001100080
出版者	PUBLIC LIBRARY SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26574
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Minxin; Lu, Benzhuo
作者单位	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
推荐引用方式 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.