Remarks on the second century of the Funk-Radon theory

Victor Palamodov*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Integral transforms of the Radon type are discussed in the survey. Papers published within five years are in focus. The following subjects are highlighted: nongeodesic Funk transform on a sphere and on an arbitrary smooth manifolds, reconstructions for photoacoustic applications, cone Radon transforms, ray transform of tensor fields, general transforms of Radon type, parametrix for Radon transforms, reconstructions in SAR geometry.

Original languageEnglish
Title of host publicationThe Radon Transform
Subtitle of host publicationThe First 100 Years and Beyond
Publisherde Gruyter
Pages129-141
Number of pages13
ISBN (Electronic)9783110560855
ISBN (Print)9783110559415
DOIs
StatePublished - 17 Jun 2019

Keywords

  • Cone Radon transform
  • Generalized Radon transform
  • Nongeodesic Funk transform
  • Photoacoustic geometry
  • Ray transform

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