Title
Singularity Structure Simplification Of Hexahedral Meshes Via Weighted Ranking
Abstract
In this paper, we propose an improved singularity structure simplification method for hexahedral (hex) meshes using a weighted ranking approach. In previous work, the selection of to-be-collapsed base complex sheets/chords is only based on their thickness, which will introduce a few closed-loops and cause an early termination of simplification and a slow convergence rate. In this paper, a new weighted ranking function is proposed by combining the valence prediction function of local singularity structure, shape quality metric of elements and the width of base complex sheets/chords together. Adaptive refinement and local optimization are also introduced to improve the uniformity and aspect ratio of mesh elements. Compared to thickness ranking methods, our weighted ranking approach can yield a simpler singularity structure with fewer base-complex components, while achieving comparable Hausdorff distance ratio and better mesh quality. Comparisons on a hex-mesh dataset are performed to demonstrate the effectiveness of the proposed method. (C) 2020 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2019
10.1016/j.cad.2020.102946
COMPUTER-AIDED DESIGN
Keywords
DocType
Volume
Hex-mesh, Singularity structure simplification, Weighted ranking, Uniformity, Base complex
Journal
130
ISSN
Citations 
PageRank 
0010-4485
0
0.34
References 
Authors
16
7
Name
Order
Citations
PageRank
Gang Xu16510.70
Ran Ling200.34
Yongjie Zhang329334.45
Yongjie Zhang429334.45
Zhoufang Xiao562.16
Zhongping Ji611311.33
Timon Rabczuk713029.62