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Étude de paramètres géométriques à partir du code de Freeman

Abstract : This thesis is a part of 2D discrete geometry whose main applications are shape analysis and characterization. We begin by presenting the different boundary encodings of binary shapes and we then present in detail the oldest one: the Freeman coding scheme, and in particular we develop algorithms based on this coding scheme. Among these algorithms, we study the estimation of geometric parameters and shape parameters on a binary object as the perimeter, area, apparent diameter, fractal dimension, and the symmetry coefficients of a shape. Then we study some shape transformations that can be fully operated within this coding framework. Finally, we consider the mathematical morphology basic operations by providing a method to compute the Freeman code of the dilated and of the eroded of a known shape.
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Submitted on : Wednesday, June 30, 2010 - 10:14:16 AM
Last modification on : Wednesday, June 24, 2020 - 4:18:32 PM
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  • HAL Id : tel-00496290, version 1


Xavier Trouillot. Étude de paramètres géométriques à partir du code de Freeman. Traitement du signal et de l'image [eess.SP]. Ecole Nationale Supérieure des Mines de Saint-Etienne, 2008. Français. ⟨tel-00496290⟩



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