Reconstruction of polytopes from the modulus of the Fourier transform with small wave length

DOI10.1515/jiip-2020-0144zbMath1498.42013arXiv2011.06971OpenAlexW3102580359MaRDI QIDQ2082133

Konrad Engel, Bastian Laasch

Publication date: 4 October 2022

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.06971

zbMATH Keywords

Fourier transformconvex polytopereconstructionmodulus

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Inverse scattering problems in quantum theory (81U40)

Cites Work

• Unnamed Item
• The Minkowski problem for polytopes
• The inverse moment problem for convex polytopes
• Reconstruction of polygonal shapes from sparse Fourier samples
• Integer points in polyhedra
• On moments of a polytope
• The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes
• Convex Polyhedra
• Reducibility among Combinatorial Problems

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