V-line tensor tomography: numerical results
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909240330813440 |
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| author | Ambartsoumian, Gaik Mishra, Rohit Kumar Zamindar, Indrani |
| author_facet | Ambartsoumian, Gaik Mishra, Rohit Kumar Zamindar, Indrani |
| contents | This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the theoretical foundation of their inversion methods were studied in a recent work [G. Ambartsoumian, R. K. Mishra, and I. Zamindar, Inverse Problems, 40 (2024), 035003]. We demonstrate the efficient recovery of an unknown symmetric 2-tensor field from various combinations of the longitudinal, transverse, and mixed VLTs, their corresponding first moments, and the star VLT. The paper examines the performance of the proposed algorithms in different settings and illustrates the results with numerical simulations on smooth and non-smooth phantoms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_03249 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | V-line tensor tomography: numerical results Ambartsoumian, Gaik Mishra, Rohit Kumar Zamindar, Indrani Numerical Analysis 44A12, 44A60, 44A30, 47G10, 65R10, 65R32 This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the theoretical foundation of their inversion methods were studied in a recent work [G. Ambartsoumian, R. K. Mishra, and I. Zamindar, Inverse Problems, 40 (2024), 035003]. We demonstrate the efficient recovery of an unknown symmetric 2-tensor field from various combinations of the longitudinal, transverse, and mixed VLTs, their corresponding first moments, and the star VLT. The paper examines the performance of the proposed algorithms in different settings and illustrates the results with numerical simulations on smooth and non-smooth phantoms. |
| title | V-line tensor tomography: numerical results |
| topic | Numerical Analysis 44A12, 44A60, 44A30, 47G10, 65R10, 65R32 |
| url | https://arxiv.org/abs/2405.03249 |