Computational x-ray crystallography as a signal recovery problem

Details Computational x-ray crystallography as a signal recovery problem Computational x-ray crystallography as a signal recovery problem

Nov 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993spie.2029..105d&link_type=abstract

Proc. SPIE Vol. 2029, p. 105-114, Digital Image Recovery and Synthesis II, Paul S. Idell; Ed.

Statistics

Computation

Scientific paper

The goal in x-ray crystallography is to recover a signal from measurements of the magnitude squared of its Fourier transform. We describe a Bayesian statistical approach using a Markov random field model of the signal and a least squared error reconstruction criteria. The key computation is the computation of the a posteriori mean of the Markov random field given the data. We approximate this mean with the cluster approximation and use a continuation method to solve the resulting fixed-point equation. A small numerical example is presented.

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