Phase retrieval for characteristic functions of convex bodies and reconstruction from covariograms

DOI10.1090/S0894-0347-2010-00683-2zbMath1283.42014arXiv1003.4486MaRDI QIDQ5390536

Richard J. Gardner, Gabriele Bianchi, Markus Kiderlen

Publication date: 4 April 2011

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4486

zbMATH Keywords

algorithmconvex polytopeconvex bodyleast squaresimage analysisquasicrystalautocorrelationphase retrievalcovariogramgeometric tomographyset covariance

Mathematics Subject Classification ID

Image analysis in multivariate analysis (62H35) (n)-dimensional polytopes (52B11) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Reconstruction problems of convex bodies from surface area measures and lightness functions, Covariogram of a cylinder, On the reconstruction of planar lattice-convex sets from the covariogram, Unnamed Item, The covariogram and Fourier–Laplace transform in ℂⁿ

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