THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914496103055360 |
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| author | Mas, Andre Terzioglu, Fatma Ipsen, Ilse C. F. |
| author_facet | Mas, Andre Terzioglu, Fatma Ipsen, Ilse C. F. |
| contents | We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of single-scattering optical tomography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18541 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY Mas, Andre Terzioglu, Fatma Ipsen, Ilse C. F. Optics Numerical Analysis 44A12, 44A05, 42B10, 46F10, 65R10, 78A46, 92C55 We highlight the important role of the Fourier transform in deriving inversion formulas for the integral transforms of tomographic imaging. We demonstrate this principle by deriving inversion formulas for the divergent beam transform and the V-line transform, the latter arising in contemporary models of single-scattering optical tomography. |
| title | THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY |
| topic | Optics Numerical Analysis 44A12, 44A05, 42B10, 46F10, 65R10, 78A46, 92C55 |
| url | https://arxiv.org/abs/2604.18541 |