A spatially constrained generative asymmetric Gaussian mixture model for image segmentation
A spatially constrained generative asymmetric GMM is proposed.We modify the asymmetric GMM to introduce the spatial information.We approximate the log priors with two auxiliaries set.We introduce additional penalty terms involving posterior distributions.We modify our previous work to construct the spatial weight factors. Accurate image segmentation is an essential step in image processing, where Gaussian mixture models with spatial constraint play an important role. Nevertheless, most methods suffer from one or more challenges such as limited robustness to noise, over smoothness for segmentations, and lack of flexibility to fit the observed data. To address these issues, in this paper, we propose a generative asymmetric Gaussian mixture model with spatial constraint for image segmentation. The asymmetric distribution is modified to be easily incorporated the spatial information. Then our asymmetric model can be constructed based on the posterior and prior probabilities of within cluster and between cluster. Based on the Kullback Leibler divergence, we introduce two pseudo likelihood quantities which consider the neighboring priors of within cluster and between cluster. Finally, we derive an expectation maximization algorithm to maximize the approximation of the data log likelihood. We compare our algorithm with state of the art segmentation approaches to demonstrate the superior performance of the proposed algorithm.
J. Vis. Commun. Image Represent.