English

Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$

Analysis of PDEs 2025-02-10 v1

Abstract

We study a set of generalized V-line transforms, namely longitudinal, mixed, and transverse V-line transforms, of a symmetric mm-tensor field in R2\mathbb{R}^2. The goal of this article is to recover a symmetric mm-tensor field f\textbf{f} supported in a disk DR\mathbb{D}_R, with radius RR and centered at the origin, by a combination of the aforementioned generalized V-line transforms, using two different techniques for different sets of data.

Keywords

Cite

@article{arxiv.2502.05128,
  title  = {Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$},
  author = {Rahul Bhardwaj},
  journal= {arXiv preprint arXiv:2502.05128},
  year   = {2025}
}
R2 v1 2026-06-28T21:36:32.506Z