Reconstruction of hv-convex binary matrices from their absorbed projections

A. Kuba, Antal Nagy, Emese Balogh

Research output: Contribution to journalArticle

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

Fingerprint

Projection
Binary
Computational complexity
Polynomials
Reconstruction Algorithm
Polynomial time
Absorption
NP-complete problem

Keywords

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

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Reconstruction of hv-convex binary matrices from their absorbed projections. / Kuba, A.; Nagy, Antal; Balogh, Emese.

In: Discrete Applied Mathematics, Vol. 139, No. 1-3, 30.04.2004, p. 137-148.

Research output: Contribution to journalArticle

Kuba, A. ; Nagy, Antal ; Balogh, Emese. / Reconstruction of hv-convex binary matrices from their absorbed projections. In: Discrete Applied Mathematics. 2004 ; Vol. 139, No. 1-3. pp. 137-148.
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