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http://hdl.handle.net/10077/4126
Title: | An Algorithm for Reconstructing a Convex Polygon from its Covariogram | Authors: | Benassi, Carlo D'Ercole, Giuliana |
Keywords: | Convex Polygon; Covariogram; Reconstructive Procedure | Issue Date: | 2007 | Publisher: | EUT Edizioni Università di Trieste | Source: | Carlo Benassi, Giuliana D'Ercole, "An Algorithm for Reconstructing a Convex Polygon from its Covariogram", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 457–476. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 39 (2007) |
Abstract: | The covariogram of a compact convex set $K \subset \mathbb R^n$ is the function that at each point $x \in \mathbb R^n$ associates the volume of $K \cap (K + x)$. The covariogram determines, among all convex bodies, any planar convex polygon. In this paper we present an algorithm for reconstructing an arbitrary convex polygon from its covariogram. |
Type: | Article | URI: | http://hdl.handle.net/10077/4126 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007) |
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BenassiDErcoleRendMat39.pdf | 152.35 kB | Adobe PDF | ![]() View/Open |
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