Image formation

Analytical reconstruction formula with efficient implementation for a modality of Compton Scattering Tomography with translational geometry

In this paper, we address an alternative formulation for the exact inverse formula of the Radon transform on circle arcs arising in a modality of Compton Scattering Tomography in translational geometry proposed by Webber and Miller (Inverse Problems …

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 …

Analytic Inversion of a Radon Transform on Double Circular Arcs With Applications in Compton Scattering Tomography

In this work we introduce a new Radon transform which arises from a new modality of Compton Scattering Tomography (CST). This new system is made of a single detector rotating around a fixed source. Unlike some previous CST, no collimator is used at …

Compton scattering imaging system with two scanning configurations

The judicious use of Compton scattered radiation continues to be a relevant challenge for the future of tomographic imaging. In this context, a new modality of Compton scattering tomography has been recently proposed. This new system has the …