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Rapport Année : 1999

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

Xavier Descombes
Eugene Pechersky
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Résumé

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.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00072910 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00072910 , version 1

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Xavier Descombes, Eugene Pechersky. Isotropic Properties of Some Multi-body Interaction Models: Two Quality Criteria for Markov Priors in Image Processing. RR-3752, INRIA. 1999. ⟨inria-00072910⟩
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