The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes

DOI10.1515/jiip-2020-0103zbMath1497.42022arXiv2009.10414OpenAlexW3124507852MaRDI QIDQ2162405

Konrad Engel, Bastian Laasch

Publication date: 5 August 2022

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

Full work available at URL: https://arxiv.org/abs/2009.10414

zbMATH Keywords

Fourier transformconvex polytopecovariogrammodulusEwald sphererationally parameterizable hypersurface

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inverse scattering problems in quantum theory (81U40)

Related Items (3)

An identity theorem for the Fourier-Laplace transform of polytopes on nonzero complex multiples of rationally parameterizable hypersurfaces ⋮ Phaseless inverse scattering with background information ⋮ Reconstruction of polytopes from the modulus of the Fourier transform with small wave length

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