Topological operations for editing the singularity on a hex mesh

This paper introduces topological operations for editing the singularity on a hex mesh while maintaining the connectivity of hexahedral mesh. The operations include (1) an enhanced column collapse operation that can avoid generating the poor-quality elements; (2) a column insertion operation that is...

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Bibliographic Details
Published inEngineering with computers Vol. 37; no. 2; pp. 1357 - 1375
Main Authors Shen, Chun, Gao, Shuming, Wang, Rui
Format Journal Article
LanguageEnglish
Published London Springer London 01.04.2021
Springer Nature B.V
Subjects
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Classical Mechanics
Computer Science
Computer-Aided Engineering (CAD
Control
Editing
Math. Applications in Chemistry
Mathematical and Computational Engineering
Original Article
Semantics
Singularities
Systems Theory
Topology
Singular vertex control
Column operation
Topological change
Hex mesh
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Summary:This paper introduces topological operations for editing the singularity on a hex mesh while maintaining the connectivity of hexahedral mesh. The operations include (1) an enhanced column collapse operation that can avoid generating the poor-quality elements; (2) a column insertion operation that is the opposite operation of column collapse; (3) four semantic operations for achieving the movement of different types of singularity pairs based on column operations. To demonstrate their effectiveness, two related applications are provided. One is moving face-based hex mesh editing, in which the interface between the original mesh and the new region mesh is made structured using the semantic operations. The other is hex mesh structure simplification based on the topological operations.
ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-019-00888-w