Abstract
This paper deals with the reconstruction of an alternate periodical binary matrix from its orthogonal projections. For a fixed vector (p,q), a binary matrix A is alternate periodical when A \(_{i,{\it j}}\)+A \(_{i+{\it p},{\it j}+{\it q}}\)=1. For vectors (p = 1,q = 1),(p,0) and (0,q) we propose polynomial time algorithms to reconstruct an alternate periodical binary matrix from both its vertical and horizontal projections if such a matrix exists.
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© 2005 Springer-Verlag Berlin Heidelberg
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Costa, MC., Jarray, F., Picouleau, C. (2005). Reconstructing an Alternate Periodical Binary Matrix from Its Orthogonal Projections. In: Coppo, M., Lodi, E., Pinna, G.M. (eds) Theoretical Computer Science. ICTCS 2005. Lecture Notes in Computer Science, vol 3701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11560586_14
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DOI: https://doi.org/10.1007/11560586_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29106-0
Online ISBN: 978-3-540-32024-1
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