The inverse moment problem for convex polytopes

• Main Authors: Gravin, Nick., Lasserre, Jean., Pasechnik, Dmitrii V., Robins, Sinai.
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2013
• 在線閱讀: https://hdl.handle.net/10356/95885; http://hdl.handle.net/10220/10865
• 機構: Nanyang Technological University

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...