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Orthogonal equipartitions

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Publication:1005327
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DOI10.1016/j.comgeo.2008.09.004zbMath1167.65013OpenAlexW2914918186MaRDI QIDQ1005327

Sergey Bereg

Publication date: 9 March 2009

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2008.09.004

zbMATH Keywords

subdivisionprobability measureequipartitionContinuous measureequitable regionorthogonal equipartitionpoints measure


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)


Related Items

Measure partitions using hyperplanes with fixed directions, Discrete geometry on colored point sets in the plane -- a survey, Balanced partitions of 3-colored geometric sets in the plane, Computing balanced convex partitions of lines



Cites Work

  • Generalizing ham sandwich cuts to equitable subdivisions
  • Equipartition of two measures by a 4-fan
  • Equipartitions of measures by 2-fans
  • General Balanced Subdivision of Two Sets of Points in the Plane
  • Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
  • Simultaneous partitions of measures by \(k\)-fans
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