The Modified Direct Method: an Approach for Smoothing Planar and Surface Meshes

Autor:	Mei, Gang, Tipper, John C., Xu, Nengxiong
Rok vydání:	2012
Předmět:	Computer Science - Computational Geometry Computer Science - Numerical Analysis Mathematics - Numerical Analysis
Zdroj:	Procedia Computer Science 18 (2013) 2436-2439
Druh dokumentu:	Working Paper
DOI:	10.1016/j.procs.2013.05.418
Popis:	The Modified Direct Method (MDM) is an iterative mesh smoothing method for smoothing planar and surface meshes, which is developed from the non-iterative smoothing method originated by Balendran [1]. When smooth planar meshes, the performance of the MDM is effectively identical to that of Laplacian smoothing, for triangular and quadrilateral meshes; however, the MDM outperforms Laplacian smoothing for tri-quad meshes. When smooth surface meshes, for trian-gular, quadrilateral and quad-dominant mixed meshes, the mean quality(MQ) of all mesh elements always increases and the mean square error (MSE) decreases during smoothing; For tri-dominant mixed mesh, the quality of triangles always descends while that of quads ascends. Test examples show that the MDM is convergent for both planar and surface triangular, quadrilateral and tri-quad meshes. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.3133 Zobrazit plný text záznamu View this record from Arxiv