A class-adaptive spatially variant mixture model for image segmentation

Abstract—We propose a new approach for image segmentation based on a hierarchical and spatially variant mixture model. Ac-cording to this model, the pixel labels are random variables and a smoothness prior is imposed on them. The main novelty of this work is a new family of smoothness priors for the label proba-bilities in spatially variant mixture models. These Gauss–Markov random field-based priors allow all their parameters to be esti-mated in closed form via the maximum a posteriori (MAP) estima-tion using the expectation-maximization methodology. Thus, it is possible to introduce priors with multiple parameters that adapt to different aspects of the data. Numerical experiments are presented where the proposed MAP algorithms were tested in various image segmentation scenarios. These experiments demonstrate that the proposed segmentation scheme compares favorably to both stan-dard and previous spatially constrained mixture model-based seg-mentation. Index Terms—Clustering-based image segmentation, expecta-tion-maximization (EM) algorithm, Gauss–Markov random field, Gaussian mixture model, maximum a posteriori (MAP) estimation, spatial smoothness constraints. I