Generating a staircase starshaped set from a minimal collection of its subsets

DOI10.1007/s13366-011-0009-yzbMath1232.52007OpenAlexW2032483094MaRDI QIDQ536149

Marilyn Breen

Publication date: 16 May 2011

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0009-y

zbMATH Keywords

orthogonal polygonsstaircase convex setstaircase kernelstaircase pathstaircase starshaped

Mathematics Subject Classification ID

Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (3)

Specifying the staircase kernel of a two-fold connected orthogonal polygon ⋮ Generating the kernel of a staircase starshaped set from certain staircase convex subsets ⋮ Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets

Cites Work

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• Symmetrization of closure operators and visibility
• Characterizing starshaped sets by maximal visibility
• Combinatorial problems on the illumination of convex bodies
• Local characterization of starshapedness
• An analogue of the Krein-Milman theorem for star-shaped sets
• A Helly theorem for intersections of orthogonally starshaped sets
• Staircase kernels in orthogonal polygons
• A characterization of convex sets via visibility
• Illumination and visibility problems in terms of closure operators
• Generalized convex kernels
• Some properties of \(L\) sets in the plane
• Radial Functions of Convex and Star-Shaped Bodies
• Characterizations of the Generalized Convex Kernel

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