Introduction to Digital Level Layers

  • Yan Gérard
  • Laurent Provot
  • Fabien Feschet
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6607)

Abstract

We introduce the notion of Digital Level Layer, namely the subsets of \(\mathbb Z ^d\) characterized by double-inequalities \(h_1 \preccurlyeq f(x) \curlyeqprec h_2\). The purpose of the paper is first to investigate some theoretical properties of this class of digital primitives according to topological and morphological criteria. The second task is to show that even if we consider functions f of high degree, the computations on Digital Level Layers, for instance the computation of a DLL containing an input set of points, remain linear. It makes this notion suitable for applications, for instance to provide analytical characterizations of digital shapes.

Keywords

Digital Primitives Cover Thickness Linear Programming Support Vector Machines 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Yan Gérard
    • 1
  • Laurent Provot
    • 1
  • Fabien Feschet
    • 1
  1. 1.ISITUniv. Clermont 1AubièreFrance

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