English

The attenuated ray transform on simple surfaces

Differential Geometry 2010-04-15 v1 Analysis of PDEs

Abstract

We show that the attenuated geodesic ray transform on two dimensional simple surfaces is injective. Moreover we give a stability estimate and develop a reconstruction procedure.

Keywords

Cite

@article{arxiv.1004.2323,
  title  = {The attenuated ray transform on simple surfaces},
  author = {Mikko Salo and Gunther Uhlmann},
  journal= {arXiv preprint arXiv:1004.2323},
  year   = {2010}
}

Comments

23 pages

R2 v1 2026-06-21T15:10:07.889Z