title: Compton scattered imaging based on the V-line radon transform and its medical imaging applications.
abstract: The Radon transform (RT) on straight lines deals as mathematical foundation for many tomographic modalities (e.g. Xray scanner, Positron Emission Tomography), using only primary radiation. In this paper, we consider a new RT defined on a pair of half-lines forming a letter V, arising from the modeling a two-dimensional emission imaging process by Compton scattered gamma rays. We establish its analytic inverse, which is shown to support the feasibility of the reconstruction of a two-dimensional image from scattered radiation collected on a one-dimensional collimated camera. Moreover, a filtered back-projection inversion method is also constructed. Its main advantages are algorithmic efficiency and computational rapidity. We present numerical simulations to illustrate the working. To sum up, the V-line RT leads not only to a new imaging principle, but also to a new concept of detector with high energetic resolution capable to collect the scattered radiation.
authors.affiliation: Equipes Traitement de l'Information et Systèmes, CNRS 8051/ ENSEA / Université de Cergy-Pontoise, F-95302 Cergy-Pontoise Cedex, France.
authors.forename: M K
authors.initials: MK
authors.lastname: Nguyen
authors.forename: R
authors.initials: R
authors.lastname: Regniery
authors.forename: T T
authors.initials: TT
authors.lastname: Truong
authors.forename: H
authors.initials: H
authors.lastname: Zaidi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003952:Diagnostic Imaging; D005240:Feasibility Studies; D011886:Radon
chemical_list: D011886:Radon