Two Remarks on Reconstructing Binary Vectors from Their Absorbed Projections

  • Attila Kuba
  • Gerhard J. Woeginger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3429)

Abstract

We prove two small results on the reconstruction of binary matrices from their absorbed projections: (1) If the absorption constant is the positive root of x 2 + x – 1 = 0, then every row is uniquely determined by its left and right projections. (2) If the absorption constant is the root of x 4x 3x 2x + 1 = 0 with 0 < x < 1, then in general a row is not uniquely determined by its left and right projections.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Attila Kuba
    • 1
  • Gerhard J. Woeginger
    • 2
  1. 1.Department of Image Processing and Computer GraphicsUniversity of SzegedSzeged Árpád tér 2.Hungary
  2. 2.Department of Mathematics and Computer ScienceTU EindhovenEindhovenThe Netherlands

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