A New Concept of Compton Scattering Tomography and the Development of the Corresponding Circular Radon Transform

A new modality of Compton scattering tomography (CST) is presented. This model is composed of a fixed source and detectors placed on a fixed ring passing through the source. This new modality, called circular CST (CCST), allows to register a complete set of data and, regarding constructive features like compactness or the absence of moving components, outperforms other existing CST designs. A bi-imaging system combining this new system and fan-beam computed tomography can also be considered, and such system will provide both the attenuation map and the distribution on electrons of the object under study. The modeling of the CCST leads to the Radon transform (RT) on circles passing through a fixed point. A reconstruction algorithm based on an exact inversion formula of the RT on circles is proposed and numerical simulations for image formation and reconstruction are carried out. The results show the viability of this new image system which is particularly suitable for small objects, such as biomedical objects.