Crystallographic FFT

Summary:


We have developed a new approach to crystallographic Fast Fourier Transform (FFT). It results in algorithms for all 230 space groups, with implementation already working for over 110 cases. The presented algorithm allows to reduce both computation time and memory usage by a factor approximately equal to the number of symmetry operators in the crystallographic group. The solution is ultimate: it has reached the theoretical limit of computational complexity and it is highly efficient for current computer architecture. We are currently preparing the first release of the KRFFT software library.


People:

Maga Rowicka
Andrzej Kudlicki
Zbyszek Otwinowski

 


Publications

Kudlicki A, Rowicka M, Otwinowski Z.:
The crystallographic fast Fourier transform. IV FFT-asymmetric units in the reciprocal space

Rowicka M, Kudlicki A, Otwinowski Z
The crystallographic fast Fourier transform. III Centered lattices

Rowicka M, Kudlicki A, Otwinowski Z
The crystallographic fast Fourier transform. II One-step symmetry reduction

Rowicka M, Kudlicki A, Otwinowski Z
The crystallographic fast Fourier transform. I p3 symmetry

 

 


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