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Communication Dans Un Congrès Année : 2007

Even more inversions formulas for the 2d Radon transform of compact convex support

M-S Ould Mohamed
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Catherine Mennessier
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Rolf Clackdoyle

Résumé

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.
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Dates et versions

ujm-00375544 , version 1 (15-04-2009)

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M-S Ould Mohamed, Catherine Mennessier, Rolf Clackdoyle. Even more inversions formulas for the 2d Radon transform of compact convex support. 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Aug 2007, Lyon, France. pp.4410-4413, ⟨10.1109/IEMBS.2007.4353316⟩. ⟨ujm-00375544⟩
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