Coupled Markov random field models with phases as line field and region field

Abstract

AbstractWe investigate a boundary‐based and a region‐based coupled Markov random field model, both of which are useful in image restorations of gray‐level images. In the conventional boundary‐based and the conventional region‐based coupled Markov random field models, both a line field and a region field take only two discrete states, 0 and 1. In the boundary‐based coupled random field model, existence and nonexistence of the edge at each nearest‐neighbor pair of pixels are denoted by 1 and 0, respectively. In the region‐based coupled random field model, some different regions at each pixel are labeled by discrete numbers. We propose a boundary‐based coupled Markov random field model with continuous line field and a region‐based coupled Markov random field model with continuous segmentation field from a standpoint of a plane rotator model in statistical mechanics. The iterative algorithms for image restoration are constructed by using a mean‐field approximation. We investigate how the proposed models produce a better quality of restored images. © 2003 Wiley Periodicals, Inc. Syst Comp Jpn, 34(7): 24–33, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10364