A Finite Markov Random Field approach to fast edge-preserving image recovery

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摘要

We investigate the properties of edge-preserving smoothing in the context of Finite Markov Random Fields (FMRF). Our main result follows from the definition of discontinuity adaptive potential for FMRF which imposes to penalize linearly image gradients. This is in agreement with the Total Variation based regularization approach to image recovery and analysis. We also report a fast computational algorithm exploiting the finiteness of the field, it uses integer arithmetic and a gradient descent updating procedure. Numerical results on real images and comparisons with anisotropic diffusion and half-quadratic regularization are reported.

论文关键词:Markov random fields,Image denoising,Edge-preserving potentials

论文评审过程:Received 22 April 2004, Revised 29 March 2006, Accepted 16 May 2006, Available online 24 August 2006.

论文官网地址:https://doi.org/10.1016/j.imavis.2006.05.021