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

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1 Author(s)
Doerschuk, P.C. ; Sch. of Electr. Eng., Purdue Univ., West Lafayette, IN, USA

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

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Image Processing, IEEE Transactions on  (Volume:3 ,  Issue: 4 )