Maximum likelihood neural network based on the correlation among neighboring pixels for noisy image segmentation

In this paper, we will present a new algorithm which is extended from the standard Gaussian mixture model to segment the noisy image based on the correlation among neighboring pixels. Firstly, we use the correlation between each centre pixel and its neighboring pixels in 3 times 3 window in building the prior probability, and this centre pixel is used to construct the conditional density function. Finally, to estimate the posterior probabilities of each pixel, instead of using expectation maximization algorithm as usual, we present a new maximum likelihood neural network (MaxNet) to optimize the parameters by using the error back propagation. Extensive experimental results illustrate the better performance compared to mixture model based on Markov random fields.