Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917455419408384 |
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| author | Wang, Dong Chen, Chunyu Wei, Huayi |
| author_facet | Wang, Dong Chen, Chunyu Wei, Huayi |
| contents | This paper constructs an energy function for simplex mesh based on the radius ratio and develops a corresponding mesh optimization method. The method combines vertex relocation and connectivity improvement, and can effectively remove slivers and improve the overall mesh quality. Based on the structure of the gradient of the energy function, we design a preconditioner, which reduces the number of iterations and improves the efficiency of the optimization algorithm. Numerical experiments show that the proposed method is effective in both sliver removal and mesh quality improvement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination Wang, Dong Chen, Chunyu Wei, Huayi Numerical Analysis Optimization and Control 65N50, 65K10, 65F08 This paper constructs an energy function for simplex mesh based on the radius ratio and develops a corresponding mesh optimization method. The method combines vertex relocation and connectivity improvement, and can effectively remove slivers and improve the overall mesh quality. Based on the structure of the gradient of the energy function, we design a preconditioner, which reduces the number of iterations and improves the efficiency of the optimization algorithm. Numerical experiments show that the proposed method is effective in both sliver removal and mesh quality improvement. |
| title | Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination |
| topic | Numerical Analysis Optimization and Control 65N50, 65K10, 65F08 |
| url | https://arxiv.org/abs/2507.01762 |