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

Xavier Descombes 1 Eugene Pechersky
1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - 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.
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https://hal.inria.fr/inria-00072910
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Submitted on : Wednesday, May 24, 2006 - 11:15:19 AM
Last modification on : Friday, February 4, 2022 - 3:19:17 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:27:32 PM

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  • 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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