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Detecting and reconstructing centrally symmetric sets from the autocorrelation: two discrete cases

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Publication:1033047
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DOI10.1016/j.aml.2009.02.003zbMath1173.52302OpenAlexW2100974158MaRDI QIDQ1033047

Gennadiy Averkov

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.02.003


zbMATH Keywords

reconstructiondiscrete tomographyautocorrelationcovariogramcentral symmetry


Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12)


Related Items

Homometry and direct-sum decompositions of lattice-convex sets ⋮ On the reconstruction of planar lattice-convex sets from the covariogram



Cites Work

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  • The covariogram determines three-dimensional convex polytopes
  • Confirmation of Matheron's conjecture on the covariogram of a planar convex body
  • Sums, projections, and sections of lattice sets, and the discrete covariogram
  • Advances in discrete tomography and its applications. Some papers based on the presentations at the workshop on discrete tomography and its applications, New York, NY, USA, June 13--15, 2005.
  • On the determination of probability distributions of more dimensions by their projections
  • The phase retrieval problem
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