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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; [email protected]; [email protected]
Archontia Grammatikopoulou
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece; [email protected]; [email protected]
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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.
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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