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

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发表日期：

2025年7月1日

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Rahul Bhardwaj

摘要

We study a set of generalized V-line transforms, namely longitudinal, mixed, and transverse V-line transforms, of a symmetric m-tensor field in $\mathbb {R}^2$ $R^{2}$ . The goal of this article is to recover a symmetric m-tensor field ${\textbf {{f}}}$ $f$ supported in a disk $\mathbb {D}_R$ $D_{R}$ , 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.

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

摘要