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math.NA2014★ 3 cited
The inverse moment problem for convex polytopes: implementation aspects
Nick Gravin, Danny Nguyen, Dmitrii Pasechnik +1
We give a detailed technical report on the implementation of the algorithm presented in Gravin et al. (Discrete & Computational Geometry'12) for reconstructing an -vertex convex…
math.NA2011★ 60 cited
The inverse moment problem for convex polytopes
Nick Gravin, Jean Lasserre, Dmitrii Pasechnik +1
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 sh…