Reconstruction from cone integral transforms

Victor Palamodov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


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
Issue number10
StatePublished - 20 Sep 2017


  • convolution
  • nongeodesic Funk transform
  • singular ray transform


Dive into the research topics of 'Reconstruction from cone integral transforms'. Together they form a unique fingerprint.

Cite this