Low‐level bayesian segmentation of piecewise‐homogeneous noisy and textured images
- 1 September 1991
- journal article
- research article
- Published by Wiley in International Journal of Imaging Systems and Technology
- Vol. 3 (3) , 227-243
- https://doi.org/10.1002/ima.1850030308
Abstract
We present a novel approach to image segmentation, differing from the known “simulated annealing” method in the following ways: the compound Bayesian decision rule and consequent maximal marginala posterioriprobability (MMAP) estimates of desired region labels in pixels; the two‐ or three‐level piecewise‐homogeneous Gibbs random field with constant control parameters as the probabilistic model of the images and region maps (in the general case such a model integrates the submodels of the region map, of the ideal intensities within each region, and of the noise distorting the ideal intensities); the stochastic relaxation with the constant control parameters of the Gibbs probability distribution only as a tool to obtain the samples of this field and estimate the unknown marginala posterioriprobabilities of the region labels by collecting in each pixel the histogram of labels for these samples; the like stochastic relaxation with directed variation of the control parameters of the Gibbs probability distribution as a tool to find maximal likelihood estimates of the unknown these parameters. Some experimental results are presented.Keywords
This publication has 14 references indexed in Scilit:
- Image algebra: An overviewComputer Vision, Graphics, and Image Processing, 1990
- A relaxation method for image segmentation using a spatially dependent stochastic modelPattern Recognition Letters, 1990
- Segmentation of textured images using Gibbs random fieldsComputer Vision, Graphics, and Image Processing, 1986
- Image processing by simulated annealingIBM Journal of Research and Development, 1985
- Nonstationary Markov chains and convergence of the annealing algorithmJournal of Statistical Physics, 1985
- Statistical mechanics and disordered systemsCommunications of the ACM, 1985
- Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of ImagesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- Optimization by Simulated AnnealingScience, 1983
- Markov Random Field Texture ModelsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1983
- On the distinction between the conditional probability and the joint probability approaches in the specification of nearest-neighbour systemsBiometrika, 1964