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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4191
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| 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 |
| Citation: | 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. |
| URI: | http://hdl.handle.net/10077/4191 |
| ISSN: | 0049-4704 |
| MS Classification: | 52A10
52A38 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003)
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