The application of Markov random field models to wavelet-based image denoising
Imaging and vision systems
Model Building for Random Fields
IDA '01 Proceedings of the 4th International Conference on Advances in Intelligent Data Analysis
Statistical pattern recognition in remote sensing
Pattern Recognition
On Regularization Parameters Estimation in Edge---Preserving Image Reconstruction
ICCSA '08 Proceedings of the international conference on Computational Science and Its Applications, Part II
Iterated conditional modes for inverse dithering
Signal Processing
Validation of classical and blind criteria for image quality evaluation
SIP '07 Proceedings of the Ninth IASTED International Conference on Signal and Image Processing
Smooth contour coding with minimal description length active grid segmentation techniques
Pattern Recognition Letters
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Discontinuity-preserving Bayesian image restoration typically involves two Markov random fields: one representing the image intensities/gray levels to be recovered and another one signaling discontinuities/edges to be preserved. The usual strategy is to perform joint maximum a posterori (MAP) estimation of the image and its edges, which requires the specification of priors for both fields. Instead of taking an edge prior, we interpret discontinuities (in fact their locations) as deterministic unknown parameters of the compound Gauss-Markov random field (CGMRF), which is assumed to model the intensities. This strategy should allow inferring the discontinuity locations directly from the image with no further assumptions. However, an additional problem emerges: the number of parameters (edges) is unknown. To deal with it, we invoke the minimum description length (MDL) principle; according to MDL, the best edge configuration is the one that allows the shortest description of the image and its edges. Taking the other model parameters (noise and CGMRF variances) also as unknown, we propose a new unsupervised discontinuity-preserving image restoration criterion. Implementation is carried out by a continuation-type iterative algorithm which provides estimates of the number of discontinuities, their locations, the noise variance, the original image variance, and the original image itself (restored image). Experimental results with real and synthetic images are reported