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Hybrid Base Complex: Extract and Visualize Structure of Hex-Dominant Meshes
IEEE Transactions on Visualization and Computer Graphics
|March 1, 2024
Summary
This study introduces a novel structure for analyzing hex-dominant meshes, incorporating non-hex elements for comprehensive representation. This enables enhanced visualization and comparison of hex-dominant mesh generation methods.
Area of Science:
- Computational geometry
- Finite element analysis
- Computer-aided design
Background:
- Hex-dominant meshes offer superior robustness over pure hex-meshes.
- Existing analysis methods for hex-dominant meshes are limited.
- A comprehensive representation is needed to analyze non-hex elements.
Purpose of the Study:
- To introduce the first structure for analyzing hex-dominant meshes.
- To enable enhanced visual analysis and comparison of hex-dominant meshes.
- To propose a strategy for analyzing mesh structure using valence-based singularity graphs.
Main Methods:
- Developed a hybrid base complex incorporating non-hex elements.
- Utilized advanced graph matching techniques for sheet extraction and categorization.
- Proposed a strategy for extracting cleaned valence-based singularity graph wireframes.
Main Results:
- The proposed structure provides a comprehensive representation of hex-dominant meshes.
- The structure-based visual analysis effectively compares different hex-dominant mesh generation methods.
- The valence singularity graph wireframe offers improved internal visualization of hex-dominant meshes.
Conclusions:
- The hybrid base complex offers a coarse representation of mesh elements.
- The valence singularity graph wireframe enhances the internal visualization of hex-dominant meshes.
- This work provides a foundation for advanced analysis and comparison of hex-dominant meshes.
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