Gocha Khelashvili et al 2006 Phys. Med. Biol. 51 221 doi:10.1088/0031-9155/51/2/003
A physical model of multiple-image radiography
Gocha Khelashvili1, Jovan G Brankov2, Dean Chapman3, Mark A Anastasio4, Yongyi Yang2,4, Zhong Zhong5 and Miles N Wernick2,4
Show affiliationsWe recently proposed a phase-sensitive x-ray imaging method called multiple-image radiography (MIR), which is an improvement on the diffraction-enhanced imaging technique. MIR simultaneously produces three images, depicting separately the effects of absorption, refraction and ultra-small-angle scattering of x-rays, and all three MIR images are virtually immune to degradation caused by scattering at higher angles. Although good results have been obtained using MIR, no quantitative model of the imaging process has yet been developed. In this paper, we present a theoretical prediction of the MIR image values in terms of fundamental physical properties of the object being imaged. We use radiative transport theory to model the beam propagation, and we model the object as a stratified medium containing discrete scattering particles. An important finding of our analysis is that the image values in all three MIR images are line integrals of various object parameters, which is an essential property for computed tomography to be achieved with conventional reconstruction methods. Our analysis also shows that MIR truly separates the effects of absorption, refraction and ultra-small-angle scattering for the case considered. We validate our analytical model using real and simulated imaging data.
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Issue 2 (21 January 2006)
Received 9 August 2005, in final form 24 October 2005
Published 21 December 2005
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A physical model of multiple-image radiography
Gocha Khelashvili et al 2006 Phys. Med. Biol. 51 221
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