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An Algorithm for Reconstructing a Convex Polygon from its Covariogram
Benassi, Carlo
D'Ercole, Giuliana
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (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.
Languages
en
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