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

Rahul Bhardwaj

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arXiv · 2502.05128

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

Rahul Bhardwaj

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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.

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Rahul Bhardwaj. 2025-02-07. Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$. https://arxiv.org/abs/2502.05128

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