A new concept of Compton Scattering tomography and the development of the corresponding circular Radon transform

Abstract

A new modality of Compton Scattering Tomogra-phy is presented. This model is composed of a fixed sourceand detectors placed on a fixed ring passing through thesource. This new modality, called Circular Compton ScatteringTomography, allows to register a complete set of data and,regarding constructive features like compactness or the absenceof moving components, outperforms other existing Comptonscattering tomography designs. A bi-imaging system combiningthis new system and Fan-beam computed tomography can alsobe considered, and such system will provide both the attenuationmap and the distribution on electrons of the object under study.The modeling of the Circular Compton Scattering Tomographyleads to the Radon transform on circles passing through a fixedpoint. A reconstruction algorithm based on an exact inversionformula of the Radon transform on circles is proposed andnumerical simulations for image formation and reconstructionare carried out. The results show the viability of this new imagesystem which is particularly suitable for small objects such asbiomedical objects.