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
Materias:	Medicine R Science Q
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 AT yuzhengma efficientmethodtoimprovethequalityoftetrahedronmeshwithmfrc AT monanwang efficientmethodtoimprovethequalityoftetrahedronmeshwithmfrc
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An efficient method to improve the quality of tetrahedron mesh with MFRC

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