A statistical model for complex images: bivariate gaussian MRF - BGMRF

In this paper we present a new Gaussian MRF model for complex images. This model is defined starting from a Gaussian MRF, generalizing it for complex images, and imposing a covariance matrix expression which considers a correlation between the real and imaginary part of the image. The hyperparameter’s estimation problem and application to linear microwave tomography are both addressed.