The inverse moment problem for convex polytopes

We present a general and novel approach for the reconstruction of any convex d-dimensional polytope P, assuming knowledge of finitely many of its integral moments. In particular, we show that the vertices of an N-vertex convex polytope in ℝ d can be reconstructed from the knowledge of O(DN) axial m...

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Bibliographic Details
Main Authors: Gravin, Nick., Lasserre, Jean., Pasechnik, Dmitrii V., Robins, Sinai.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/95885
http://hdl.handle.net/10220/10865
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Institution: Nanyang Technological University
Language: English

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