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Generation and Recognition of Digital Plane using Multi-dimensional Continued Fractions
Acte de colloque   Open Access

Generation and Recognition of Digital Plane using Multi-dimensional Continued Fractions

Thomas Fernique
Discrete Geometry for Computer Imagery, (4992), pp.33-44
Lecture Notes in Computer Science
Discrete Geometry for Computer Imagery (Lyon, France, 16/04/2008)
15/04/2008

Résumé

continued fractions Brun algorithm digital plane recognition generalized substitution
This paper extends, in a multi-dimensional framework, pattern recognition technics for generation or recognition of digital lines. More precisely, we show how the connection between chain codes of digital lines and continued fractions can be generalized by a connection between tilings and multi-dimensional continued fractions. This leads to a new approach for generating and recognizing digital hyperplanes.

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