New Inversion Formulas for Radon Transforms on Affine Grassmannians
Boris Rubin, Yingzhan Wang
TL;DR
This paper introduces new inversion formulas for Radon transforms on affine Grassmannians, applicable to continuous and L^p functions in R^n, enhancing the mathematical tools for integral geometry.
Contribution
It provides novel inversion formulas for Radon transforms on affine Grassmannians, broadening the scope of integral geometric analysis.
Findings
New inversion formulas for Radon transforms derived
Applicable to continuous and L^p functions in R^n
Enhances mathematical tools for affine Grassmannian analysis
Abstract
We obtain new inversion formulas for the Radon transform and the corresponding dual transform acting on affine Grassmann manifolds of planes in . The consideration is performed in full generality on continuous functions and functions belonging to spaces.
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Taxonomy
TopicsMedical Imaging Techniques and Applications · Mathematical Analysis and Transform Methods · Bone health and osteoporosis research