The concept of resolution in the domain of rotations.
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.
Trapani
Stefano
S
Institut de Biologie Structurale J. P. Ebel, UMR 5075, CNRS, 41 rue Jules Horowitz, 38027 Grenoble, France. stefano.trapani@ibs.fr
Siebert
Xavier
X
Navaza
Jorge
J
D018360:Crystallography, X-Ray / Q000379:methods*; D008433:Mathematics; D012399:Rotation