Elements of information theory
Elements of information theory
A survey of image registration techniques
ACM Computing Surveys (CSUR)
Image Registration by Maximization of Combined Mututal Information and Gradient Information
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
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We model images and the anatomy that they are derived from as stationary and jointly ergodic random processes. Using an empirically-observed property of anatomy, and data processing inequality arguments, we arrive at optimality criteria for mutual information in the ensemble domain. Using ergodicity, we transfer the criteria to single pairs of images in the spatial domain, where it applies to the popular mutual information-based registration approach that is used in practice.