Image reconstruction

PhD thesis - Modalities of Compton Scattering Tomography: concept, modelling and associated inverse problems

PhD thesis defended on December 7th, 2021, before the comittee: Jérôme Mars, Professor, Institut Polytechnique de Grenoble, President Kacem Chehdi, Professor, Université de Rennes, Reviewer Voichita Maxim, Assistant Professor, INSA Lyon, Reviewer Fabrice Mériaudeau, Professor, Université de Bourgogne Franche Conté, Examinator Jean-Christophe Pesquet, Professor, Centrale Supelec, Examinator Maï K.

PhD thesis - Modalities of Compton Scattering Tomography: concept, modelling and associated inverse problems

PhD thesis defended on December 7th, 2021 before the comittee: Jérôme Mars, Professor, Institut Polytechnique de Grenoble, President Kacem Chehdi, Professor, Université de Rennes, Reviewer Voichita Maxim, Assistant Professor, INSA Lyon, Reviewer Fabrice Mériaudeau, Professor, Université de Bourgogne Franche Conté, Examinator Jean-Christophe Pesquet, Professor, Centrale Supelec, Examinator Maï K.

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 novel modality of Compton Scattering Tomography: Image formation and Reconstruction

Computed tomography has been widely used in biomedical and industrial applications. The well-known filtered back-projection algorithm, probably the most used reconstruction technique, fails when the angular range used for data acquisition is not …

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 …

A new transmission Compton scattering tomography

In Transmission Compton Scatter Tomography, an object is scanned to reconstruct a map of its electronic density. Data recorded consist of scattered photons and are modeled by a Radon transform on a specific manifold that depends on the setup used. …

Scattering imaging system with dual configuration

Wisely exploiting scattered radiation, considered as noise until now, for image purpose is one of relevant techniques for emerging tomographic imaging. In this work we propose a new concept of Compton Scattering Tomography (CST) based on a fixed …

A novel modality of Compton Scattering Tomography: Image formation and Reconstruction

A new modality of Compton Scattering Tomography (CST) is presented. This model allows image acquisition and reconstruction using a fixed source and detectors placed on a fixed circle passing through the source. That is why the new modality is named …