Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images

S Geman, D Geman - Journal of applied statistics, 1993 - Taylor & Francis
We make an analogy between images and statistical mechanics systems. Pixel gray levels
and the presence and orientation of edges are viewed as states of atoms or molecules in a …

Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images

S Geman, D Geman - IEEE Transactions on pattern analysis …, 1984 - ieeexplore.ieee.org
We make an analogy between images and statistical mechanics systems. Pixel gray levels
and the presence and orientation of edges are viewed as states of atoms or molecules in a …

Bayesian image restoration, with two applications in spatial statistics

J Besag, J York, A Mollié - Annals of the institute of statistical mathematics, 1991 - Springer
There has been much recent interest in Bayesian image analysis, including such topics as
removal of blur and noise, detection of object boundaries, classification of textures, and …

Approximate maximum likelihood hyperparameter estimation for Gibbs priors

Z Zhou, RN Leahy, J Qi - IEEE transactions on image …, 1997 - ieeexplore.ieee.org
The parameters of the prior, the hyperparameters, play an important role in Bayesian image
estimation. Of particular importance for the case of Gibbs priors is the global …

Robust priors for smoothing and image restoration

HR Künsch - Annals of the Institute of Statistical Mathematics, 1994 - Springer
The Bayesian method for restoring an image corrupted by added Gaussian noise uses a
Gibbs prior for the unknown clean image. The potential of this Gibbs prior penalizes …

Statistical mechanics of image restoration

JM Pryce, AD Bruce - Journal of Physics A: Mathematical and …, 1995 - iopscience.iop.org
We develop the statistical mechanics formulation of the image restoration problem,
pioneered by Geman and Geman (1984). Using Bayesian methods we establish the …

On some Bayesian/regularization methods for image restoration

G Archer, DM Titterington - IEEE Transactions on Image …, 1995 - ieeexplore.ieee.org
Methods are reviewed for choosing regularized restorations in image processing. In
particular, a method developed by Galatsanos and Katsaggelos (see ibid., vol. 1, p. 322 …

Statistical-mechanical approach to image processing

K Tanaka - Journal of Physics A: Mathematical and General, 2002 - iopscience.iop.org
The basic frameworks and techniques of the Bayesian approach to image restoration are
reviewed from the statistical-mechanical point of view. First, a few basic notions in digital …

[PDF][PDF] Image Sequence Restoration Using Gobbs Distributions

RD Morris - 1995 - Citeseer
This thesis addresses a number of issues concerned with the restoration of one type of
image sequence, namely archived black and white motion pictures. These are often a …

Image restoration using Gibbs priors: Boundary modeling, treatment of blurring, and selection of hyperparameter

VE Johnson, WH Wong, X Hu, CT Chen - IEEE Transactions on …, 1991 - computer.org
The authors propose a Bayesian model for the restoration of images based on counts of
emitted photons. The model treats blurring within the context of an incomplete data problem …