On optimal disc covers and a new characterization of the Steiner center

DOI10.1016/j.comgeo.2015.10.006zbMath1341.65009arXiv1312.0233OpenAlexW3103985700MaRDI QIDQ283866

Yael Yankelevsky, Alfred Marcel Bruckstein

Publication date: 17 May 2016

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

Full work available at URL: https://arxiv.org/abs/1312.0233

zbMATH Keywords

area coveragedisc coversplanar point constellationsSteiner center

Mathematics Subject Classification ID

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

Cites Work

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• A geometric inequality and the complexity of computing volume
• Characterizing centers of convex bodies via optimization
• On Steiner points of convex bodies
• On the Fermat-Weber center of a convex object
• Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
• THE STEINER CENTRE OF A SET OF POINTS: STABILITY, ECCENTRICITY, AND APPLICATIONS TO MOBILE FACILITY LOCATION
• The Steiner Point of a Convex Polytope
• A valuation property of Steiner points
• A Uniqueness Theorem for the Steiner Point of a Convex Region
• Euler-Type Relations for Convex Polytopes
• Abstract Steiner Points for Convex Polytopes

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