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We study the relation between the target functions of low-resolution andhigh-resolution intensity-based registration for the class of rigidtransformations. Our results show that low resolution target values can tightlybound the high-resolution target function in natural images. This can help withanalyzing and better understanding the process of multiresolution imageregistration. It also gives a guideline for designing multiresolutionalgorithms in which the search space in higher resolution registration isrestricted given the fitness values for lower resolution image pairs. Todemonstrate this, we incorporate our multiresolution technique into a Lipschitzglobal optimization framework. We show that using the multiresolution schemecan result in large gains in the efficiency of such algorithms. The method isevaluated by applying to 2D and 3D registration problems as well as thedetection of reflective symmetry in 2D and 3D images.

Multiresolution Search of the Rigid Motion Space for Intensity Based Registration