Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors
This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/1727582 |
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| _version_ | 1832556883240550400 |
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| author | Sunghwan Moon |
| author_facet | Sunghwan Moon |
| author_sort | Sunghwan Moon |
| collection | DOAJ |
| description | This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms. |
| format | Article |
| id | doaj-art-499542e3f1dd46d087705964c4f14f7a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-499542e3f1dd46d087705964c4f14f7a2025-02-03T05:44:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/17275821727582Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating DetectorsSunghwan Moon0Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 41566, Republic of KoreaThis paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon-type transform that arises can be decomposed into the known Radon-type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon-type transforms.http://dx.doi.org/10.1155/2018/1727582 |
| spellingShingle | Sunghwan Moon Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors Advances in Mathematical Physics |
| title | Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors |
| title_full | Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors |
| title_fullStr | Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors |
| title_full_unstemmed | Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors |
| title_short | Inversion Formula for a Radon-Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors |
| title_sort | inversion formula for a radon type transform arising in photoacoustic tomography with circular integrating detectors |
| url | http://dx.doi.org/10.1155/2018/1727582 |
| work_keys_str_mv | AT sunghwanmoon inversionformulaforaradontypetransformarisinginphotoacoustictomographywithcircularintegratingdetectors |