J. Phys. IV France 104 (2003) 631
Algorithmic image reconstruction using itérative phase retrieval schemaE. Lima, D. Shapiro, J. Kirz and D. Sayre
Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794-3800, U.S.A.
X-ray diffraction is potentially a strong candidate for biological imaging since it can in principle reconstruct thick samples at resolutions close to the diffraction) limit of the radiation. Due to the non-crystalline nature of such samples, one seeks a phasing method other than that of traditional crystallography ; such a method exists in the use of an iterative algorithm based on oversampling . One of the tasks faced by an iterative method is to know when the iteration has given a faithful reconstruction. Past algorithms of this type [1,2,3] have employed the basic Fienup iterative schema . In this paper we report on the use of a newer itérative schema due to Elser  ; our computer simulations on real and complex test objects using Elser's schema show that his reconstruction-error function is a reliable measurement of the reconstruction. We also report that a magnitude-based histogram constraint can dramaticaly speed up the convergence of the reconstruction process.
© EDP Sciences 2003