3D finite element meshing from imaging data |
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| Affiliation: | 1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;2. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;3. Department of Civil and Environmental Engineering, Brigham Young University, Provo, UT 84602, USA;1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA;2. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;1. Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, United States;3. Delft Institute of Applied Mathematics, Delft University of Technology, Van Mourik Broekmanweg 6, XE Delft 2628, the Netherlands;4. Oden Institute for Computational Engineering and Sciences, 201 East 24th Street, C0200, Austin, TX 78712-1229, United States;5. School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, United States;1. Osnabrück University, Germany;2. RWTH Aachen University, Germany;3. University of Bern, Switzerland |
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| Abstract: | This paper describes an algorithm to extract adaptive and quality 3D meshes directly from volumetric imaging data. The extracted tetrahedral and hexahedral meshes are extensively used in the finite element method (FEM). A top-down octree subdivision coupled with a dual contouring method is used to rapidly extract adaptive 3D finite element meshes with correct topology from volumetric imaging data. The edge contraction and smoothing methods are used to improve mesh quality. The main contribution is extending the dual contouring method to crack-free interval volume 3D meshing with boundary feature sensitive adaptation. Compared to other tetrahedral extraction methods from imaging data, our method generates adaptive and quality 3D meshes without introducing any hanging nodes. The algorithm has been successfully applied to constructing quality meshes for finite element calculations. |
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