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...
Saved in:
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 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
Similar Items
-
Translational tilings by a polytope, with multiplicity
by: Robins, Sinai., et al.
Published: (2013) -
Polyhedral Gauss sums, and polytopes with symmetry
by: Malikiosis, Romanos-Diogenes, et al.
Published: (2016) -
On the skeleton of the metric polytope
by: Deza, Antoine., et al.
Published: (2014) -
On the Fractional Metric Dimension of Convex Polytopes
by: Aslam, M. K., et al.
Published: (2022) -
On aperiodicity problem of polynomial polytopes
by: Wang, Qing-Guo, et al.
Published: (2014)