title: The physical and mathematical aspects of inverse problems in radiation detection and applications.
abstract: The inverse problem is the problem of converting detectable measurements into useful quantifiable indications. It is the problem of spectrum unfolding, image reconstruction, identifying a threat material, or devising a radiotherapy plan. The solution of an inverse problem requires a forward model that relates the quantities of interest to measurements. This paper explores the physical issues associated with formulating a radiation-transport forward model best suited for inversion, and the mathematical challenges associated with the solution of the corresponding inverse problem.
authors.affiliation: Laboratory for Threat Material Detection, Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada E3B 5A3. hussein@unb.ca
authors.forename: Esam M A
authors.initials: EM
authors.lastname: Hussein