NDLI: Adaptive and Feature-Preserving Subdivision for High-Quality Tetrahedral Meshes

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Adaptive and Feature-Preserving Subdivision for High-Quality Tetrahedral Meshes

Content Provider	CiteSeerX
Author	Meshes, Tetrahedral Burkhart, D. Hamann, B. Umlauf, G.
Description	We present an adaptive subdivision scheme for unstructured tetrahedral meshes inspired by the √3-subdivision scheme for triangular meshes. Existing tetrahedral subdivision schemes do not support adaptive refinement and have traditionally been driven by the need to generate smooth three-dimensional deformations of solids. These schemes use edge bisections to subdivide tetrahedra, which generates octahedra in addition to tetrahedra. To split octahedra into tetrahedra one routinely chooses a direction for the diagonals for the subdivision step. We propose a new topology-based refinement operator that generates only tetrahedra and supports adaptive refinement. Our tetrahedral subdivision algorithm is motivated by the need to have one representation for the modeling, the simulation and the visualization and so to bridge the gap between CAD and CAE. Our subdivision algorithm design emphasizes on geometric quality of the tetrahedral meshes, local and adaptive refinement operations, and preservation of sharp geometric features on the boundary and in the interior of the physical domain.
File Format	PDF
Language	English
Publisher Institution	In Comput. Graph. Forum
Access Restriction	Open
Subject Keyword	Tetrahedral Subdivision Scheme Tetrahedral Subdivision Algorithm High-quality Tetrahedral Mesh Subdivision Step Triangular Mesh Feature-preserving Subdivision Geometric Quality Smooth Three-dimensional Deformation 3-subdivision Scheme Physical Domain Tetrahedral Mesh Support Adaptive Refinement New Topology-based Refinement Operator Sharp Geometric Feature Adaptive Refinement Unstructured Tetrahedral Mesh Subdivision Algorithm Design Adaptive Refinement Operation Adaptive Subdivision Scheme Edge Bisection
Content Type	Text
Resource Type	Article

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