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The angular difference function and its application to image registration.
IEEE Trans Pattern Anal Mach Intell. 2005 Jun; 27(6):969-76.IT

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.

Authors+Show Affiliations

Department of Mathematics, Yale University, PO Box 208283, New Haven, CT 06520, USA. yosi.keller@yale.eduNo affiliation info availableNo affiliation info available

Pub Type(s)

Evaluation Study
Journal Article

Language

eng

PubMed ID

15943427

Citation

Keller, Yosi, et al. "The Angular Difference Function and Its Application to Image Registration." IEEE Transactions On Pattern Analysis and Machine Intelligence, vol. 27, no. 6, 2005, pp. 969-76.
Keller Y, Shkolnisky Y, Averbuch A. The angular difference function and its application to image registration. IEEE Trans Pattern Anal Mach Intell. 2005;27(6):969-76.
Keller, Y., Shkolnisky, Y., & Averbuch, A. (2005). The angular difference function and its application to image registration. IEEE Transactions On Pattern Analysis and Machine Intelligence, 27(6), 969-76.
Keller Y, Shkolnisky Y, Averbuch A. The Angular Difference Function and Its Application to Image Registration. IEEE Trans Pattern Anal Mach Intell. 2005;27(6):969-76. PubMed PMID: 15943427.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - The angular difference function and its application to image registration. AU - Keller,Yosi, AU - Shkolnisky,Yoel, AU - Averbuch,Amir, PY - 2005/6/10/pubmed PY - 2005/7/6/medline PY - 2005/6/10/entrez SP - 969 EP - 76 JF - IEEE transactions on pattern analysis and machine intelligence JO - IEEE Trans Pattern Anal Mach Intell VL - 27 IS - 6 N2 - 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. SN - 0162-8828 UR - https://www.unboundmedicine.com/medline/citation/15943427/The_angular_difference_function_and_its_application_to_image_registration_ DB - PRIME DP - Unbound Medicine ER -