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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2014 Volume 26, Number 12, Pages 3–13 (Mi mm3550)

This article is cited in 1 paper

Effective rigid body search using generalized 5D Fourier transform

A. M. Kazennova, A. E. Alekseenkoa, D. Kozakovb, D. N. Padhornya, Ya. A. Kholodova

a Moscow Institute of Physics and Technology, Department of computational mathematics, Russia
b Biomedical Engineering, Boston University, USA

Abstract: In this work the new effective rigid body search algorithm is developed. The problem of rigid body search often emerges in shape matching, e.g. in protein-protein docking. The proposed method is based on exhaustive search in spherical polar Fourier space and employs 5D generalized FFT to accelerate the calculations. The main advantage of this approach is the fast calculation of multi-property scoring functions, lowering computational costs of high accuracy search.

Keywords: generalized Fourier transform, fast Fourier transform, spherical Fourier transform, spherical functions, radial harmonics, convolution, 3D shape matching, rigid body search, docking.

UDC: 004.42+519.6+577.2

Received: 21.11.2013


 English version:
Mathematical Models and Computer Simulations, 2015, 7:4, 315–322

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