9 November 1993 Computational x-ray crystallography as a signal recovery problem
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Abstract
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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Peter C. Doerschuk, "Computational x-ray crystallography as a signal recovery problem", Proc. SPIE 2029, Digital Image Recovery and Synthesis II, (9 November 1993); doi: 10.1117/12.161987; https://doi.org/10.1117/12.161987
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KEYWORDS
Crystallography

Image restoration

Phase retrieval

X-rays

Chemical species

Crystals

Fourier transforms

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