New Inversion Formulas for Radon Transforms on Affine Grassmannians

2016/10/07 by Boris Rubin, Rubin, Boris, Yingzhan Wang +1
Medicine · Mathematics · #Medical Imaging Techniques and Applications #Mathematical Analysis and Transform Methods #Bone health and osteoporosis research

paper · pdf · doi:10.48550/arxiv.1610.02109

Abstract

We obtain new inversion formulas for the Radon transform and the corresponding dual transform acting on affine Grassmann manifolds of planes in Rⁿ. The consideration is performed in full generality on continuous functions and functions belonging to L^p spaces.

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