Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4126

 Title: An Algorithm for Reconstructing a Convex Polygon from its Covariogram Authors: Benassi, CarloD'Ercole, Giuliana Keywords: Convex PolygonCovariogramReconstructive Procedure Issue Date: 2007 Publisher: EUT Edizioni Università di Trieste Citation: 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 Mathematics39 (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. URI: http://hdl.handle.net/10077/4126 ISSN: 0049-4704 MS Classification: 52A10 Appears in Collections: Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)

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