An efficient method to improve the quality of tetrahedron mesh with MFRC

Abstract In this paper, we proposed a novel operation to reconstruction tetrahedrons within a certain region, which we call MFRC (Multi-face reconstruction). During the existing tetrahedral mesh improvement methods, the flip operation is one of the very important components. However, due to the limi...

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Autores principales: Yuzheng Ma, Monan Wang
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/ac49b3c686cd41eaac1c48c908ab9e17
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spelling oai:doaj.org-article:ac49b3c686cd41eaac1c48c908ab9e172021-11-28T12:18:50ZAn efficient method to improve the quality of tetrahedron mesh with MFRC10.1038/s41598-021-02187-12045-2322https://doaj.org/article/ac49b3c686cd41eaac1c48c908ab9e172021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-02187-1https://doaj.org/toc/2045-2322Abstract In this paper, we proposed a novel operation to reconstruction tetrahedrons within a certain region, which we call MFRC (Multi-face reconstruction). During the existing tetrahedral mesh improvement methods, the flip operation is one of the very important components. However, due to the limited area affected by the flip, the improvement of the mesh quality by the flip operation is also very limited. The proposed MFRC algorithm solves this problem. MFRC can reconstruct the local mesh in a larger range and can find the optimal tetrahedron division in the target area within acceptable time complexity. Therefore, based on the MFRC algorithm, we combined other operations including smoothing, edge removal, face removal, and vertex insertion/deletion to develop an effective mesh quality improvement method. Numerical experiments of dozens of meshes show that the algorithm can effectively improve the low-quality elements in the tetrahedral mesh, and can effectively reduce the running time, which has important significance for the quality improvement of large-scale mesh.Yuzheng MaMonan WangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-20 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Yuzheng Ma
Monan Wang
An efficient method to improve the quality of tetrahedron mesh with MFRC
description Abstract In this paper, we proposed a novel operation to reconstruction tetrahedrons within a certain region, which we call MFRC (Multi-face reconstruction). During the existing tetrahedral mesh improvement methods, the flip operation is one of the very important components. However, due to the limited area affected by the flip, the improvement of the mesh quality by the flip operation is also very limited. The proposed MFRC algorithm solves this problem. MFRC can reconstruct the local mesh in a larger range and can find the optimal tetrahedron division in the target area within acceptable time complexity. Therefore, based on the MFRC algorithm, we combined other operations including smoothing, edge removal, face removal, and vertex insertion/deletion to develop an effective mesh quality improvement method. Numerical experiments of dozens of meshes show that the algorithm can effectively improve the low-quality elements in the tetrahedral mesh, and can effectively reduce the running time, which has important significance for the quality improvement of large-scale mesh.
format article
author Yuzheng Ma
Monan Wang
author_facet Yuzheng Ma
Monan Wang
author_sort Yuzheng Ma
title An efficient method to improve the quality of tetrahedron mesh with MFRC
title_short An efficient method to improve the quality of tetrahedron mesh with MFRC
title_full An efficient method to improve the quality of tetrahedron mesh with MFRC
title_fullStr An efficient method to improve the quality of tetrahedron mesh with MFRC
title_full_unstemmed An efficient method to improve the quality of tetrahedron mesh with MFRC
title_sort efficient method to improve the quality of tetrahedron mesh with mfrc
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/ac49b3c686cd41eaac1c48c908ab9e17
work_keys_str_mv AT yuzhengma anefficientmethodtoimprovethequalityoftetrahedronmeshwithmfrc
AT monanwang anefficientmethodtoimprovethequalityoftetrahedronmeshwithmfrc
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AT monanwang efficientmethodtoimprovethequalityoftetrahedronmeshwithmfrc
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