Reconstruction from cone integral transforms

Victor Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The paper contains new reconstruction formulas for a function on 3D space from data of its cone integrals with fixed opening and integrable weight. In the case of cone integrals with the (non integrable) weight modelling photometric law, a reconstruction is obtained for the non redundant data of cones with the apex running on a curve.

Original languageEnglish
Article number104001
JournalInverse Problems
Volume33
Issue number10
DOIs
StatePublished - 20 Sep 2017

Keywords

  • convolution
  • nongeodesic Funk transform
  • singular ray transform

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