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International Conference on Shape Modeling & Applications   p. 0142
Re-Meshing Techniques for Topological Analysis
Marco Attene, Consiglio Nazionale delle Ricerche
Silvia Biasotti, Consiglio Nazionale delle Ricerche
Michela Spagnuolo, Consiglio Nazionale delle Ricerche

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.2001.923385
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Abstract
A method for the extraction of the Extended Reeb Graph (ERG) from a closed 3D triangular mesh is presented. The ERG codes the relationships among critical points of the height function associated to the mesh, and it can represent isolated as well as degenerate critical points. The extraction process is based on a re-meshing strategy of the original mesh, which is forced to follow contour levels. The occurrence and configuration of flat areas in the re-triangulated model identify critical areas of the shape, and their relationships allow the reconstruction of the global topological structure of the shape.
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Citation:  Marco Attene, Silvia Biasotti, Michela Spagnuolo, "Re-Meshing Techniques for Topological Analysis," smi, p. 0142,  International Conference on Shape Modeling & Applications,  2001