Computational x-ray crystallography as a signal recovery problem

Peter C. Doerschuk

doi:10.1117/12.161987

9 November 1993 Computational x-ray crystallography as a signal recovery problem

Peter C. Doerschuk

Proceedings Volume 2029, Digital Image Recovery and Synthesis II; (1993) https://doi.org/10.1117/12.161987
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

Peter C. Doerschuk "Computational x-ray crystallography as a signal recovery problem", Proc. SPIE 2029, Digital Image Recovery and Synthesis II, (9 November 1993); https://doi.org/10.1117/12.161987

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available