Qian Xie and Anuj Srivastava
3Image registration using phase–amplitude separation
Qian Xie, 117 N. Woodward Ave., United States, 12
Anuj Srivastava, 117 N. Woodward Ave., United States, anuj@stat.fsu.edu
Abstract: The problem of registration of images is a classical one, with a variety of solutions proposed in the past. Motivated by recent progress in functional data analysis, we approach this problem from a novel viewpoint and develop a notion of phase and amplitude for image data. We define amplitude of an image as a property that is invariant to diffeomorphic deformations of the background space; these deformations are said to change only the relative phases. Consequently, image registration is viewed as separation of phase and amplitude components ...
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