An Extension Gaussian Mixture Model for Brain MRI Segmentation

The segmentation of brain magnetic resonance (MR) images into gray matter (GM), white matter (WM) and cerebrospinal fluid (CSF) has been an intensive studied area in the medical image analysis community. The Gaussian mixture model (GMM) is one of the most commonly used model to represent the intensity of different tissue types. However, as a histogram-based model, the spatial relationship between pixels is discarded in the GMM, making it sensitive to noise. Herein we present a new framework which aims to incorporate spatial information into the standard GMM, where each pixel is assigned its individual prior by leveraging its neighborhood information. Expectation maximization (EM) is modified to estimate the parameters of the proposed method. The method is validated on both synthetic and real brain MR images, showing its effectiveness in the segmentation task.