In the past decade, information theory has been studied extensively in computational imaging. In particular, image matching by maximizing mutual information has been shown to yield good results in multimodal image registration. However, there have been few rigorous studies to date that investigate the statistical aspect of the resulting deformation fields. Different regularization techniques have been proposed, sometimes generating deformations very different from one another. In this paper, we present a novel model for multimodal image registration. The proposed method minimizes a purely information-theoretic functional consisting of mutual information matching and unbiased regularization. The unbiased regularization term measures the magnitude of deformations using either asymmetric Kullback-Leibler divergence or its symmetric version. The new multimodal unbiased matching method, which allows for large topology preserving deformations, was tested using pairs of two and three dimensi...
Igor Yanovsky, Paul M. Thompson, Stanley Osher, Al