Abstract

This chapter presents an extension to the rotational case of the well known translational phase correlation. Phase correlation has been developed in order to estimate planar translations between images pairs and has been shown to be one of the most robust methods for estimating planar translations. The characteristics of phase correlation for estimating planar translations were found to be a strong motivation for its extension to the estimation of planar rotations. The chapter presents an original algorithm for estimating planar rotations inspired by phase correlation. Robustness and accuracy of the proposed algorithm have been tested and experimental evidence of these characteristics is reported. The proposed algorithm retains the good properties typical of the translational phase correlation. The only drawback of this method is that it requires a conversion from Cartesian to polar co-ordinates, which is a numerically delicate and computationally intensive operation.

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