Even more inversion formulas for the 2D Radon Transform of functions of compact and convex support.
In 2004, Clackdoyle and Noo published a class of inversion formulas for the 2D Radon Transform which depends on the known radius of support of the unknown function. In this work, we extend this class of inversion formulas from functions of circular support to functions with any compact and convex support. We point out the potential benefits of these new inversion formulas in the context of reconstruction from truncated projections. A preliminary implementation of these new inversion formulas is also presented.
Mohamed
M-S Ould
MS
LHC, UMR 5516, CNRS, Saint Etienne, France. oum54820@univ-st-etienne.fr
Mennessier
C
C
Clackdoyle
R
R
D008962:Models, Theoretical