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Picture codes

Published online by Cambridge University Press:  08 November 2006

Symeon Bozapalidis  and
Archontia Grammatikopoulou
Symeon Bozapalidis
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece; bozapali@math.auth.gr; arxontia@math.auth.gr
Archontia Grammatikopoulou
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece; bozapali@math.auth.gr; arxontia@math.auth.gr
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Abstract

We introduce doubly-ranked (DR) monoids in order to study picturecodes. We show that a DR-monoid is free iff it is pictoriallystable. This allows us to associate with a set C of pictures apicture code B(C) which is the basis of the least DR-monoidincluding C.A weak version of the defect theorem for pictures is established.A characterization of picture codes through picture series isalso given.

Keywords

Picture codespicture series.

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 4 , October 2006 , pp. 537 - 550
Copyright
© EDP Sciences, 2006

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