Reconstruction of hv-convex binary matrices from their absorbed projections

Attila Kuba, Antal Nagy, Emese Balogh

Research output: Contribution to journalConference article

13 Citations (Scopus)

Abstract

The reconstruction of hv-convex binary matrices from their absorbed projections is considered. Although this problem is NP-hard if the non-absorbed row and column sums are available, it is proved that such a reconstruction problem can be solved in polynomial time from absorbed projections when the absorption is represented by β=(1+√5)/2. Also a reconstruction algorithm is given to determine the whole structure of hv-convex binary matrices from such projections.

Original languageEnglish
Pages (from-to)137-148
Number of pages12
JournalDiscrete Applied Mathematics
Volume139
Issue number1-3
DOIs
Publication statusPublished - Apr 30 2004
Event2001 International Workshop on Combinatorial Image Analysis (IWCIA 2001) - Philadelphia, PA, United States
Duration: Aug 23 2001Aug 24 2001

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Keywords

  • Absorbed projections
  • Discrete tomography
  • Hv-convex binary matrices
  • Numeration systems

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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