Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913683532152832 |
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| author | Bhardwaj, Rahul |
| author_facet | Bhardwaj, Rahul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$ Bhardwaj, Rahul Analysis of PDEs 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. |
| title | Tensor tomography for a set of generalized V-line transforms in $\mathbb{R}^2$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.05128 |