Isotropic Properties of Some Multi-body Interaction Models: Two Quality Criteria for Markov Priors in Image ProcessingReport as inadecuate




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1 ARIANA - Inverse problems in earth monitoring CRISAM - Inria Sophia Antipolis - Méditerranée , SIS - Signal, Images et Systèmes

Abstract : Gibbs Fields are widely used in image processing for both segmentation and restoration. Defined on a discrete lattice representing the image they exhibit a non-isotropic behavior. Herein, we study and quantify this non-isotropy by computing the boundary tension as a function of the angle of a line separating the plane in two parts containing a different phase. From this study, we derive two quantitative criteria of the non isotropy of the model. We then compute the shape at zero temperature of a droplet of one phase within the other phase and study the non-isotropy of the shape for the different models. Finally, we show the artifacts due to this non-isotropic behavior for image segmentation and restoration.

Keywords : IMAGE SEGMENTATION AND RESTORATION GIBBS FIELDS ISOTROPY QUALITY CRITERIA





Author: Xavier Descombes - Eugene Pechersky

Source: https://hal.archives-ouvertes.fr/



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