Bayesian Segmentation of Magnetic Resonance Images Using the α-Stable Distribution
In this work, a segmentation method of Magnetic Resonance images (MRI) is presented. On the one hand, the distribution of the grey (GM) and white matter (WM) are modelled using a mixture of α-stable distributions. A Bayesian α-stable mixture model for histogram data is used and the unknown parameters are sampled using the Metropolis-Hastings algorithm, therefore, voxel intensity information is included in the model via a parameterized mixture of α-stable distribution which allows us to calculate the likelihood. On the other hand, spatial information is also included: the images are registered to a common template and a prior probability is given to each intensity value using a normalized segmented tissue probability map. Both informations, likelihood and prior values, are combined using the Bayes’ Rule. Performance of the segmentation approaches using spatial prior information, intensity values via the likelihood and combining both using the Bayes’ Rule are compared. Better segmentation results are obtained when the latter is used.
KeywordsMagnetic Resonance Imaging Image Segmentation α-Stable Distribution Mixture Model
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