A uniform reconstruction formula in integral geometry
Victor P. Palamodov
TL;DR
This paper introduces a new analytic inversion method in integral geometry that derives classical and novel Radon-John type reconstruction formulas without relying on harmonic analysis or PDE techniques.
Contribution
It presents a general approach for deriving inversion formulas in integral geometry, expanding the toolkit beyond traditional harmonic analysis methods.
Findings
Derives classical Radon-John formulas using the new method
Introduces new reconstruction formulas in integral geometry
Avoids harmonic analysis and PDE in the derivation process
Abstract
A general method for analytic inversion in integral geometry is proposed. All classical and some new reconstruction formulas of Radon-John type are obtained by this method. No harmonic analysis and PDE is used.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.