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Criteria for approximation of linear and affine functions

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Publication:1059282
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DOI10.1007/BF01200469zbMath0566.52003MaRDI QIDQ1059282

Christian Ronse

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

convex setslinear functionsdigitalizationaffine functionsGrünbaumHelly's theoremsKarlin-Shapleytransversal theorem of Santaló


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (3)

A note on the approximation of linear and affine functions: The case of bounded slope ⋮ Digital straightness -- a review ⋮ On the flatness of digital hyperplanes



Cites Work

  • Some applications of a theorem on convex functions
  • Three-Dimensional Digital Planes
  • Common Transversals for Families of Sets†
  • A simple proof of Rosenfeld's characterization of digital straight line segments
  • Digital Straight Line Segments
  • Unnamed Item


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