Linear algorithms for phase retrieval in the Fresnel region: validity conditions
Medical Physics
2015-03-25 v1
Abstract
We describe the relationship between different forms of linearized expressions for the spatial distribution of intensity of X-ray projection images obtained in the Fresnel region. We prove that under the natural validity conditions some of the previously published expressions can be simplified without a loss of accuracy. We also introduce modified validity conditions which are likely to be fulfilled in many relevant practical cases, and which lead to a further significant simplification of the expression for the image-plane intensity, permitting simple non-iterative linear algorithms for the phase retrieval.
Cite
@article{arxiv.1503.06949,
title = {Linear algorithms for phase retrieval in the Fresnel region: validity conditions},
author = {T. E. Gureyev and Ya. I. Nesterets},
journal= {arXiv preprint arXiv:1503.06949},
year = {2015}
}