Thickness Diagram for Shape Analysis

David Coeurjolly 1 Nina Amenta Raphaëlle Chaine 2
1 M2DisCo - Geometry Processing and Constrained Optimization
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
2 GeoMod - Modélisation Géométrique, Géométrie Algorithmique, Fractales
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
Abstract : When performing geometrical analysis of shapes, the thickness of the shape at a point is a fundamental quantity both for theoretical and practical purposes. In this paper, we consider a thickness definition which associates a value with each point of the shape (i.e. both on its boundary and interior). If we now consider a discrete shape characterized by a sampling of a continuous shape boundary, such thickness function on interior points induces a combinatorial structure which can be used to efficiently compute some relevant quantities for shape description. The aim of the paper is thus to introduce and analyse the combinatorial structure, and to provide some convergence results when the sampling gets denser since the thickness function is deeply linked to the medial axis of the shape.
Document type :
Poster communications
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https://hal.archives-ouvertes.fr/hal-01353011
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Submitted on : Wednesday, August 10, 2016 - 4:18:57 PM
Last modification on : Wednesday, October 31, 2018 - 12:24:25 PM

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  • HAL Id : hal-01353011, version 1

Citation

David Coeurjolly, Nina Amenta, Raphaëlle Chaine. Thickness Diagram for Shape Analysis. Symposium on Geometry Processing, Jul 2012, Tallinn, Estonia. (Poster), 2012. ⟨hal-01353011⟩

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