The angular difference function and its application to image registration

Yosi Keller, Yoel Shkolnisky, Amir Averbuch

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


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.

Original languageEnglish
Pages (from-to)969-976
Number of pages8
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Issue number6
StatePublished - Jun 2005
Externally publishedYes


  • Fourier domain
  • Global motion estimation
  • Image alignment
  • Pseudopolar FFT


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