Linear transforms — like a Fourier transform — are a key math ... It appears that the paper relies on simulations of the diffraction surfaces, not an actual implementation.

and the problem of the determination of the phases of the X-ray diffraction spectra can be solved successfully. This lack of resolution puts a severe restriction on the use of Fourier methods for ...

The Fourier transform is a mathematical technique used to convert the diffraction data from reciprocal space to real space. It allows the reconstruction of the electron density map of the crystal, ...