On new V-line Radon transforms in R2 and their inversion
Overview & Synopsis
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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Document Information
| Document Title | On new V-line Radon transforms in R2 and their inversion |
|---|---|
| Author / Organization | T. T. Truong, M. K. Nguyen |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2011 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-235382 |
| Original Source Link | Visit Source Page on hal.science » |