Mutual Information Similarity Metric for Rigid Body Transformations
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The mutual information similarity metric for image registration can be applied to rigid body transformations. When performing registration between two images, we can utilize the mutual information criterion to measure their similarity. This approach involves calculating the statistical dependency between pixel intensity distributions using entropy measurements. A typical implementation would involve computing joint histograms of the image pairs after applying transformation parameters, followed by entropy calculation using the formula: MI(X,Y) = H(X) + H(Y) - H(X,Y), where H represents entropy. The optimization process typically involves gradient-based methods to find transformation parameters that maximize mutual information.
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