Image Registration, Optical Flow, and Local Rigidity
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Computer Methods and Programs in Biomedicine
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We address the problem of convergence of a motion estimation algorithm for signal matching and image registration. We introduce a new multiresolution algorithm, based on the Fourier pyramid. In the case of a global translation, we prove mean quadratic convergence of our algorithm under some reasonable assumptions. The algorithm starts at the finest resolution for which the assumption is satisfied, and then refines until the highest resolution is reached. We illustrate the method by showing results on simple 1D signals and a 3D functional MR image.