Title
High-quality 2D mesh generation without obtuse and small angles.
Abstract
In this paper, we present an efficient method to eliminate the obtuse triangles for high quality 2D mesh generation. Given an initialization (e.g., from Centroidal Voronoi Tessellation—CVT), a limited number of point insertions and removals are performed to eliminate obtuse or small angle triangles. A mesh smoothing and optimization step is then applied. These steps are repeated till a desired good quality mesh is reached. We tested our algorithm on various 2D polygonal domains and verified that our algorithm always converges after inserting a few number of new points, and generates high quality triangulation with no obtuse triangles.
Year
DOI
Venue
2018
10.1016/j.camwa.2017.09.041
Computers & Mathematics with Applications
Keywords
Field
DocType
Mesh generation,Triangulation,Obtuse triangles
Mathematical optimization,Polygon,Triangulation (social science),Smoothing,Voronoi diagram,Initialization,Mathematics,Mesh generation,Triangle mesh
Journal
Volume
Issue
ISSN
75
2
0898-1221
Citations 
PageRank 
References 
2
0.36
15
Authors
6
Name
Order
Citations
PageRank
Dawar Khan184.57
Dong-Ming Yan272552.60
Wang Yiqun322617.63
Kai-Mo Hu4434.89
Juntao Ye5377.69
Xiaopeng Zhang65518.84