On discrete X-ray transform
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916733031284736 |
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| author | Novikov, Roman Sharma, Basant Lal |
| author_facet | Novikov, Roman Sharma, Basant Lal |
| contents | We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensions to weighted (attenuated) analogues are given. Connections to the continuous case are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07505 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On discrete X-ray transform Novikov, Roman Sharma, Basant Lal Functional Analysis 44A12, 46F12, 65R10, 65N21, 65N22 We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensions to weighted (attenuated) analogues are given. Connections to the continuous case are presented. |
| title | On discrete X-ray transform |
| topic | Functional Analysis 44A12, 46F12, 65R10, 65N21, 65N22 |
| url | https://arxiv.org/abs/2505.07505 |