A new characterization of simple elements in a tetrahedral mesh

Autor:	Isabelle Bloch, Line Garnero, Jérémie Pescatore
Rok vydání:	2005
Předmět:	Homology (mathematics) Topology Mathematics::Geometric Topology Computer Graphics and Computer-Aided Design Finite element method Mesh generation Modeling and Simulation Tetrahedron 5-cell Polygon mesh Geometry and Topology Software Relative homology Singular homology Mathematics
Zdroj:	Graphical Models. 67:260-284
ISSN:	1524-0703
DOI:	10.1016/j.gmod.2004.12.001
Popis:	This paper deals with topological analysis of sets of tetrahedra ("tetrahedral meshes" of three-dimensional objects). We introduce a definition of simple elements for any normal tetrahedral representation. Then we prove a local characterization of simple tetrahedra in the case of a scene composed of one object and its background, based on homology groups and on relative homology. This allows us to define homotopic deformations of a tetrahedral representation. Using this characterization, we illustrate the problem of generating three-dimensional finite element meshes from medical voxel datasets.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9a01cea72316ba3220fd6d7c88672d91 https://doi.org/10.1016/j.gmod.2004.12.001 Zobrazit plný text záznamu Full Text from ScienceDirect