Maximum-Entropy Method as Applied in Quasi-Crystallography

Quasi-crystal structures via deciphering diffraction data in the high-dimensional space approach suffer from truncation and background effects, which result from the computation of the inverse Fourier transform of the data. Detailed modelling remains difficult because the shape of the atomic hypersurfaces requires an infinite number of parameters to be properly specified. As an alternative, more fruitful approach, the maximum-entropy method provides useful details of the high-dimensional density map and allows proper renormalization of diffraction patterns.