TY - JOUR
AU - Thorarinsdottir, Thordis Linda
PY - 2011/05/03
Y2 - 2023/12/02
TI - BAYESIAN IMAGE RESTORATION, USING CONFIGURATIONS
JF - Image Analysis and Stereology
JA - Image Anal Stereol
VL - 25
IS - 3
SE - Original Research Paper
DO - 10.5566/ias.v25.p129-143
UR - https://www.ias-iss.org/ojs/IAS/article/view/800
SP - 129-143
AB - In this paper, we develop a Bayesian procedure for removing noise from images that can be viewed as noisy realisations of random sets in the plane. The procedure utilises recent advances in configuration theory for noise free random sets, where the probabilities of observing the different boundary configurations are expressed in terms of the mean normal measure of the random set. These probabilities are used as prior probabilities in a Bayesian image restoration approach. Estimation of the remaining parameters in the model is outlined for salt and pepper noise. The inference in the model is discussed in detail for 3 X 3 and 5 X 5 configurations and examples of the performance of the procedure are given.
ER -