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References (2)
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F. Coulibaly, C. Chevalier, I. Gutsche, J. Pous, J. Navaza, S. Bressanelli, B. Delmas, F. Rey (2005)
The Birnavirus Crystal Structure Reveals Structural Relationships among Icosahedral VirusesCell, 120
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S. Trapani, J. Navaza (2006)
Calculation of spherical harmonics and Wigner d functions by FFT. Applications to fast rotational matching in molecular replacement and implementation into AMoRe.Acta crystallographica. Section A, Foundations of crystallography, 62 Pt 4
- Publisher
- Wiley
- Copyright
- Copyright © 2007 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0108-7673
- eISSN
- 1600-5724
- DOI
- 10.1107/S0108767306055310
- pmid
- 17301472
- Publisher site
- See Article on Publisher Site
Abstract
The metric of the SO(3) group of rotations can be used to define the angular resolution of a function of rotations. The resolution is related to the degree of the highest representation present in the expansion of the function in terms of Wigner functions. The peculiar non‐Euclidean metric of the rotation domain, however, implies that the terms which effectively contribute to the expansion vary through two‐dimensional sections of the rotation domain and are within limiting resolution circles in two‐dimensional reciprocal sections. This reconciles an economic sampling of the expansion with the acceleration provided by fast Fourier transform (FFT) techniques.
Journal
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Mar 1, 2007
Keywords: ; ; ;