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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, Carlo
D'Ercole, Giuliana
Keywords: Convex Polygon
Covariogram
Reconstructive 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 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.
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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