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| HAL: hal-00670817, version 1 |
| DOI: 10.1088/1751-8113/44/7/075206 |
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| Journal of Physics A: Mathematical and Theoretical 44, 7 (2012) 075206 |
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| On new V-line Radon transforms in R2 and their inversion |
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T. T. Truong 1M. K. Nguyen 2 |
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| (2012-01-28) |
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| Radon transforms on piecewise smooth curves in R2 are rather unfamiliar and have not been so far widely investigated. In this paper we consider three types of Radon transforms defined on a pair of half-lines in the shape of a V, with a fixed axis direction. These three Radon transforms arise from recently suggested tomographic procedures. Our main result consists in obtaining their analytic inverse formulas, which may serve as mathematical foundation for new imaging systems in engineering and physics. |
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| 1: | Laboratoire de Physique Théorique et Modélisation (LPTM) |
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CNRS : UMR8089 – Université de Cergy Pontoise |
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| 2: | Equipes Traitement de l'Information et Systèmes (ETIS) |
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CNRS : UMR8051 – ENSEA – Université de Cergy Pontoise |
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| ETIS |
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| Subject | : | Mathematics/Mathematical Physics |
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| hal-00670817, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00670817 | |
| oai:hal.archives-ouvertes.fr:hal-00670817 | |
| From: Mai K. Nguyen | |
| Submitted on: Thursday, 16 February 2012 10:51:09 | |
| Updated on: Thursday, 16 February 2012 13:36:55 | |
