Kc. Ho et Bc. Chieu, UNSUPERVISED IMAGE SEGMENTATION USING ADAPTIVE FRAGMENTATION IN PARALLEL MRF-BASED WINDOWS FOLLOWED BY BAYESIAN CLUSTERING, IEICE transactions on information and systems, E80D(11), 1997, pp. 1109-1121
The approach presented in this paper was intended for extending conven
tional Markov random field (MRF) models to a more practical problem: t
he unsupervised and adaptive segmentation of gray-level images. The ''
unsupervised'' segmentation means that all the model parameters, inclu
ding the number of image classes, are unknown and have to be estimated
from the observed image. In addition, the ''adaptive'' segmentation m
eans that both the region distribution and the image feature within a
region are all location-dependent and their corresponding parameters m
ust be estimated from location to location. We estimated local paramet
ers independently from multiple small windows under the assumption tha
t an observed image consists of objects with smooth surfaces, no textu
re. Due to this assumption, the intensity of each region is a slowly v
arying function plus noise, and the conventional homogeneous hidden MR
F (HMRF) models are appropriate for these windows. In each window, we
employed the EM algorithm for maximum-likelihood (ML) parameter estima
tion, and then, the estimated parameters were used for ''maximizer of
the posterior marginals'' (MPM) segmentation. To keep continuous segme
nts between windows, a scheme for combining window Fragments was propo
sed. The scheme comprises two parts: the programming of windows and th
e Bayesian merging of window Fragments. Finally, a remerging procedure
is used as post processing to remove the over-segmented small regions
that possibly exist after the Bayesian merging. Since the final segme
nts are obtained From merging, the number of image classes is automati
cally determined. The use of multiple parallel windows makes our algor
ithm to be suitable for parallel implementation. The experimental resu
lts of real-world images showed that the surfaces (objects) consistent
with our reasonable model assumptions were all correctly segmented as
connected regions.