3D Compton scattering imaging and contour reconstruction for a class of Radon transforms. (14th May 2018)

• Record Type: Journal Article
• Authors: Rigaud, Gaël; Hahn, Bernadette N
• Is Part Of: Inverse problems. Volume 34:Number 7(2018:Jul.)
• Publication Date: 2018-05-14
• Subjects: 3D Compton scattering imaging -- Radon transforms -- contour reconstruction; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aabf0b
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Compton scattering imaging is a nascent concept arising from the current development of high-sensitive energy detectors and is devoted to exploit the scattering radiation to image the electron density of the studied medium. Such detectors are able to collect incoming photons in terms of energy. This paper introduces potential 3D modalities in Compton scattering imaging (CSI). The associated measured data are modeled using a class of generalized Radon transforms. The study of this class of operators leads to build a filtered back-projection kind algorithm preserving the contours of the sought-for function and offering a fast approach to partially solve the associated inverse problems. Simulation results including Poisson noise demonstrate the potential of this new imaging concept as well as the proposed image reconstruction approach.