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Stability in Discrete Tomography: Linear Programming, Additivity and Convexity

  • Sara Brunetti
  • Alain Daurat
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2886)

Abstract

The problem of reconstructing finite subsets of the integer lattice from X-rays has been studied in discrete mathematics and applied in several fields like image processing, data security, electron microscopy. In this paper we focus on the stability of the reconstruction problem for some lattice sets. First we show some theoretical bounds for additive sets, and a numerical experiment is made by using linear programming to deal with stability for convex sets.

Keywords

Discrete Tomography Linear Programming Additivity 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Sara Brunetti
    • 1
  • Alain Daurat
    • 2
  1. 1.Dipartimento di Scienze Matematiche e InformaticheUniversità di SienaSienaItaly
  2. 2.LSIIT CNRS UMR 7005Université Louis Pasteur (Strasbourg 1)Illkirch-GraffenstadenFrance

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