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http://hdl.handle.net/10077/4191
Title: | Functions that are the Directed X-Ray of a Planar Convex Body | Authors: | Black, William Kimble, Jennifer Koop, David Solmon, Donald C. |
Keywords: | directed x-ray; convex body | Issue Date: | 2003 | Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | Source: | William Black et al., "Functions that are the Directed X-Ray of a Planar Convex Body", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 81–115. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 35 (2003) |
Abstract: | We characterize functions that are the directed X-ray of a planar convex body from a source that is a positive distance from the body. In addition to a concavity condition the necessary and sufficient conditions involve the structure of points of zero curvature and a priori estimates for derivatives of the directed X-ray near supporting rays and points of zero curvature. The techniques employed also lead to explicit methods for constructing families of planar convex bodies with a common directed X-ray. |
Type: | Article | URI: | http://hdl.handle.net/10077/4191 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003) |
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BlackEtAlRendMat35.pdf | 307.73 kB | Adobe PDF | ![]() View/Open |
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