Bayesian reconstruction of signals invariant under a space-group symmetry from Fourier transform magnitudes

P C Doerschuk

doi:10.1109/83.298397

Bayesian reconstruction of signals invariant under a space-group symmetry from Fourier transform magnitudes

IEEE Trans Image Process. 1994;3(4):438-49. doi: 10.1109/83.298397.

Author

P C Doerschuk¹

Affiliation

¹ Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN.

PMID: 18291941
DOI: 10.1109/83.298397

Abstract

A Bayesian signal reconstruction problem, motivated by X-ray crystallography, which includes magnitude of Fourier transform measurements and a Markov random field a priori model was approximately solved by Doerschuk (see J. Opt. Soc. Amer. A, vol.8, no.8, p.1222-1232 and p.1207-1221, 1991). These ideas are extended to signals that obey a space-group symmetry, which is a crucial extension for X-ray crystallography application. Performance statistics based on simulated data are presented.