Abstract

This paper discusses issues related to the development of reconstructed tomography based on scattered X-ray radiation. For most X-ray tomography, based on collimated initial and scattered radiation, the distribution of the object density (linear scattering coefficient) is reconstructed by the number of counted photons scattered in the reconstructed voxel (volumetric pixel) where density distribution is received only visually and not numerically. Heterogeneous structures along the initial path and trajectory of counted scattered photons cause significant errors in imaging. Collimation of the initial and scattered radiation allows the detection of relatively few scattered photons, and this is the reason why the statistics relative to this process are very poor. The paper presents mathematical algorithms that improve images resulting from this type of tomography and demonstrates that the imaging based on scattered collimated radiation does not provide the quality of resolution comparable to conventional transmission tomography. One approach to generate high-quality scattering tomography at high resolution is the use of a large non-collimated detector. This allows counting almost all of the scattered photons leaving the object in the direction of the detector. It provides the opportunity to reconstruct the linear scattering coefficient distribution numerically. The combined use of transmission and scattering tomography present the opportunity to identify an effective atomic number and density distribution.

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