Noise and sampling analysis for multiple-image radiography

We have recently proposed a new X-ray imaging method called multiple-image radiography (MIR), which produces three images that separately depict the effects of X-ray absorption, X-ray refraction, and ultra-small-angle X-ray scattering. Because MIR is a relatively recent development, many of its basic properties have not yet been determined. In this paper we investigate the noise properties of MIR by deriving the Cramer-Rao lower bounds (CRLB) for the three MIR images. Next using this bound an evaluation of the uniform angular sampling acquisition procedure is given