Title: Universal Joint Image Clustering and Registration using Partition Information,
Abstract: We consider the problem of universal joint clustering and registration of
images and define algorithms using multivariate information functionals. We
first study registering two images using maximum mutual information and prove
its asymptotic optimality. We then show the shortcomings of pairwise
registration in multi-image registration, and design an asymptotically optimal
algorithm based on multiinformation. Further, we define a novel multivariate
information functional to perform joint clustering and registration of images,
and prove consistency of the algorithm. Finally, we consider registration and
clustering of numerous limited-resolution images, defining algorithms that are
order-optimal in scaling of number of pixels in each image with the number of
images.