On the use of wavelets for image registration

Wavelet-based image registration has previously been proposed by the authors. In previous work, maxima obtained from orthogonal Daybooks filters as well as from Simoncelli steerable filters were utilized and compared to register images in a multi-resolution fashion. The first comparative results between both types of filters showed that despite the lack of translation-invariance of the orthogonal filters, both types of filters gave very encouraging results for non-noisy data and small transformations. But the accuracy obtained with orthogonal filters seemed to degrade very quickly for large rotations and large amounts of noise, while results obtained with steerable filters appeared much more stable under these conditions. In this work, we are performing a systematic study of the robustness of such methods as a function of translation, rotation and noise parameters, for both types of filters and using data form the Landsat/Thematic Mapper.