The inverse moment problem for convex polytopes

• المؤلفون الرئيسيون: Gravin, Nick., Lasserre, Jean., Pasechnik, Dmitrii V., Robins, Sinai.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2013
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/95885; http://hdl.handle.net/10220/10865

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...