English

An Inversion Formula for Horizontal Conical Radon Transform

Classical Analysis and ODEs 2019-08-23 v1

Abstract

In this paper, we consider the conical Radon transform on all cones with horizontal central axis whose vertices are on a straight line. We derive an explicit inversion formula for such transform. The inversion makes use of the vertical slice transform on a sphere and V-line transform on a plane.

Keywords

Cite

@article{arxiv.1908.08255,
  title  = {An Inversion Formula for Horizontal Conical Radon Transform},
  author = {Duy N. Nguyen and Linh V. Nguyen},
  journal= {arXiv preprint arXiv:1908.08255},
  year   = {2019}
}