The angular difference function and its application to image registration
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Updated: Aug 5, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
Published on: August 30, 2013
Yosi Keller1, Yoel Shkolnisky, Amir Averbuch
1Department of Mathematics, Yale University, PO Box 208283, New Haven, CT 06520, USA. yosi.keller@yale.edu
Abstract:
The estimation of large motions without prior knowledge is an important problem in image registration. In this paper, we present the angular difference function (ADF) and demonstrate its applicability to rotation estimation. The ADF of two functions is defined as the integral of their spectral difference along the radial direction. It is efficiently computed using the pseudopolar Fourier transform, which computes the discrete Fourier transform of an image on a near spherical grid. Unlike other Fourier-based registration schemes, the suggested approach does not require any interpolation. Thus, it is more accurate and significantly faster.
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