An efficient algorithm for reconstructing binary matrices from horizontal and vertical absorbed projections

A. Frosini, S. Rinaldi, E. Barcucci, A. Kuba

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper studies the classical tomographical problem of the reconstruction of a binary matrix from projections in presence of absorption. In particular, we consider two projections along the horizontal and vertical directions and the mathematically interesting case of the absorption coefficient β0 = frac(1 + sqrt(5), 2). After proving some theoretical results on the switching components, we furnish a fast algorithm for solving the reconstruction problem from the horizontal and vertical absorbed projections. As a significative remark, we obtain also the solution of the related uniqueness problem.

Original languageEnglish
Pages (from-to)347-363
Number of pages17
JournalElectronic Notes in Discrete Mathematics
Volume20
DOIs
Publication statusPublished - Jul 1 2005

Fingerprint

Horizontal
Efficient Algorithms
Vertical
Projection
Binary
Absorption Coefficient
Fast Algorithm
Absorption
Uniqueness

Keywords

  • absorbed projections
  • Discrete tomography
  • polynomial time algorithm
  • reconstruction problem

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

An efficient algorithm for reconstructing binary matrices from horizontal and vertical absorbed projections. / Frosini, A.; Rinaldi, S.; Barcucci, E.; Kuba, A.

In: Electronic Notes in Discrete Mathematics, Vol. 20, 01.07.2005, p. 347-363.

Research output: Contribution to journalArticle

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