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

Abstract

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