The inverse moment problem for convex polytopes

The goal of this paper is to present a general and novel approach for the reconstruction of any convex d-dimensional polytope P, from knowledge of its moments. In particular, we show that the vertices of an N-vertex polytope in R^d can be reconstructed from the knowledge of O(DN) axial moments (w.r....

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Bibliographic Details
Main Authors: Gravin, N, Lasserre, J, Pasechnik, D, Robins, S
Format: Journal article
Language:English
Published: 2011