Unsupervised Change Detection of SAR Images Based on Variational Multivariate Gaussian Mixture Model and Shannon Entropy

In this letter, we propose an unsupervised change detection method for synthetic aperture radar (SAR) images based on variational multivariate Gaussian mixture model (MGMM) and Shannon entropy. First, the difference features are generated from the Gabor wavelet transform of two SAR images. In variational inference framework, the variational MGMM is first introduced to implement accurate modeling for the data distribution of difference features and to output responsibilities. Subsequently, spatial information is explored on the responsibilities to yield the
contextual responsibilities
for improving the accuracy and reliability of change detection. Then,
a posteriori
probabilities of the changed and unchanged classes are derived from the
contextual responsibilities
, and Shannon entropy, being directly related to the classification error rate, is proposed to determine the optimal index integer. Finally, the binary change mask is achieved by separating the pixels into the changed and unchanged classes. The experiments on three pairs of SAR images for describing urban sprawl and water bodies demonstrate the effectiveness of the proposed method.