Title :
Bayesian reconstruction of signals invariant under a space-group symmetry from Fourier transform magnitudes
Author :
Doerschuk, Peter C.
Author_Institution :
Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA
fDate :
7/1/1994 12:00:00 AM
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
Keywords :
Bayes methods; Fourier transforms; Markov processes; X-ray crystallography technique; signal processing; Bayesian signal reconstruction; Fourier transform magnitudes; Fourier transform measurements; Markov random field; X-ray crystallography; performance statistics; simulated data; space-group symmetry; Atomic measurements; Bayesian methods; Crystallography; Electrons; Fourier transforms; Frequency; Image reconstruction; Physics; Signal reconstruction; X-ray imaging;
Journal_Title :
Image Processing, IEEE Transactions on
