Result: An introduction to periodical discrete sets from a tomographical perspective
Title:
An introduction to periodical discrete sets from a tomographical perspective
Authors:
Source:
Theoretical computer science. 347(1-2):370-392
Publisher Information:
Amsterdam: Elsevier, 2005.
Publication Year:
2005
Physical Description:
print, 18 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Plans d'expériences et configurations, Designs and configurations, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Divers, Miscellaneous, Analyse, Analysis, Análisis, Complexité calcul, Computational complexity, Complejidad computación, Comportement, Behavior, Conducta, Configuration, Configuración, Informatique théorique, Computer theory, Informática teórica, Matrice, Matrices, Perspective, Perspectiva, Polynôme, Polynomial, Polinomio, Projection, Proyección, Périodique, Periodical, Periódico, Temps polynomial, Polynomial time, Tiempo polinomial, Tomographie, Tomography, Tomografía, 05Bxx, 68Wxx, Algorithme polynomial, Polyomino, SAT, Discrete tomography: Computational complexity; Polyomino; 2, SAT reduction
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Dipartimento di Scienze Matematiche ed Informatiche Roberto Magari Universilà degli Studi di Siena, Via del Capitano 15, 53100, Siena, Italy
Laboratoire d'Informatique, Algorithmique, Fondements et Applications (LIAFA), Université Denis Diderot 2, place Jussieu, 75251 Paris, France
Laboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, France
Laboratoire d'Informatique, Algorithmique, Fondements et Applications (LIAFA), Université Denis Diderot 2, place Jussieu, 75251 Paris, France
Laboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, France
ISSN:
0304-3975
Rights:
Copyright 2006 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.17316132
Database:
PASCAL Archive
Further Information
In this paper we introduce a new class of binary matrices whose entries show periodical configurations, and we furnish a first approach to their analysis from a tomographical point of view. In particular we propose a polynomial-time algorithm for reconstructing matrices with a special periodical behavior from their horizontal and vertical projections. We succeeded in our aim by using a reduction involving polyominoes which can be characterized by means of 2 - SAT formulas.