Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays

DOI10.1007/s00010-014-0322-2zbMath1348.52002arXiv1303.4412OpenAlexW2039270982MaRDI QIDQ2354653

Ábris Nagy, Csaba Vincze

Publication date: 20 July 2015

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4412

zbMATH Keywords

set-valued mappingHausdorff convergenceconvex planar setcoordinate X-raysgeneralized conic function

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

On Taxicab Distance Mean Functions and their Geometric Applications: Methods, Implementations and Examples ⋮ On the average taxicab distance function and its applications ⋮ Reconstruction of hv-convex sets by their coordinate X-ray functions ⋮ An extension of the Rådström cancellation theorem to cornets

Cites Work

• An introduction to the theory of generalized conics and their applications
• On the theory of generalized conics with applications in geometric tomography
• Reconstruction of hv-convex sets by their coordinate X-ray functions
• A solution to Hammer's X-ray reconstruction problem
• An Embedding Theorem for Spaces of Convex Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays