A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique

In this paper, we propose a novel method of generating high-order curvilinear triangular meshes using an advancing front approach. Our method relies on a direct approach to generate meshes on geometries with curved boundaries. Our advancing front method yields high-quality triangular elements in eac...

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Detalles Bibliográficos
Autores principales: Mohammadi, Fariba, Dangi, Shusil, Shontz, Suzanne M., Linte, Cristian A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7302857/
http://dx.doi.org/10.1007/978-3-030-50417-5_6
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author Mohammadi, Fariba
Dangi, Shusil
Shontz, Suzanne M.
Linte, Cristian A.
author_facet Mohammadi, Fariba
Dangi, Shusil
Shontz, Suzanne M.
Linte, Cristian A.
author_sort Mohammadi, Fariba
collection PubMed
description In this paper, we propose a novel method of generating high-order curvilinear triangular meshes using an advancing front approach. Our method relies on a direct approach to generate meshes on geometries with curved boundaries. Our advancing front method yields high-quality triangular elements in each iteration which omits the need for post-processing steps. We present several numerical examples of second-order curvilinear triangular meshes of patient-specific anatomical models generated using our technique on boundary meshes obtained from biomedical images.
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spelling pubmed-73028572020-06-19 A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique Mohammadi, Fariba Dangi, Shusil Shontz, Suzanne M. Linte, Cristian A. Computational Science – ICCS 2020 Article In this paper, we propose a novel method of generating high-order curvilinear triangular meshes using an advancing front approach. Our method relies on a direct approach to generate meshes on geometries with curved boundaries. Our advancing front method yields high-quality triangular elements in each iteration which omits the need for post-processing steps. We present several numerical examples of second-order curvilinear triangular meshes of patient-specific anatomical models generated using our technique on boundary meshes obtained from biomedical images. 2020-06-15 /pmc/articles/PMC7302857/ http://dx.doi.org/10.1007/978-3-030-50417-5_6 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Mohammadi, Fariba
Dangi, Shusil
Shontz, Suzanne M.
Linte, Cristian A.
A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title_full A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title_fullStr A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title_full_unstemmed A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title_short A Direct High-Order Curvilinear Triangular Mesh Generation Method Using an Advancing Front Technique
title_sort direct high-order curvilinear triangular mesh generation method using an advancing front technique
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7302857/
http://dx.doi.org/10.1007/978-3-030-50417-5_6
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