Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10336875 | Graphical Models | 2005 | 25 Pages |
Abstract
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.
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Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Isabelle Bloch, Jérémie Pescatore, Line Garnero,