Title :
Even More Inversion Formulas for the 2D Radon Transform of Functions of Compact and Convex Support
Author :
Mohamed, M.-S.O. ; Mennessier, C. ; Clackdoyle, R.
Author_Institution :
CNRS, St. Etienne
Abstract :
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.
Keywords :
Radon transforms; image reconstruction; medical image processing; phantoms; circular support to functions; compact support; convex support; image reconstruction; inversion formulas; phantom; truncated projections; two-dimensional Radon transform; Arm; Costs; Filtering; Geometry; Image analysis; Image converters; Image reconstruction; Kernel; Large Hadron Collider; Tomography; Models, Theoretical;
Conference_Titel :
Engineering in Medicine and Biology Society, 2007. EMBS 2007. 29th Annual International Conference of the IEEE
Conference_Location :
Lyon
Print_ISBN :
978-1-4244-0787-3
DOI :
10.1109/IEMBS.2007.4353316
