Barycentric cuts through a convex body

DOI10.1007/s00454-021-00364-7zbMath1503.52008arXiv2003.13536OpenAlexW4210549485MaRDI QIDQ2105325

Martin Tancer, Uli Wagner, Zuzana Safernová

Publication date: 8 December 2022

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13536

zbMATH Keywords

critical pointsconvex bodybarycenterTukey depthsmooth manifold

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Critical points and critical submanifolds in differential topology (57R70) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• On the Tukey depth of a continuous probability distribution
• Breakdown properties of location estimates based on halfspace depth and projected outlyingness
• Homothetic floating bodies
• Exact computation of the halfspace depth
• Absolute approximation of Tukey depth: theory and experiments
• Halfspace depth and floating body
• On some properties of convex sets
• Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2
• The depth function of a population distribution.

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