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

Thomas Fernique 1
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : 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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https://hal.archives-ouvertes.fr/hal-00274838
Contributor : Thomas Fernique <>
Submitted on : Monday, April 21, 2008 - 3:59:16 PM
Last modification on : Thursday, May 24, 2018 - 3:59:21 PM
Document(s) archivé(s) le : Thursday, May 20, 2010 - 8:41:31 PM

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Thomas Fernique. Generation and Recognition of Digital Plane using Multi-dimensional Continued Fractions. Discrete Geometry for Computer Imagery, Apr 2008, Lyon, France. pp.33-44, ⟨10.1007/978-3-540-79126-3_5⟩. ⟨hal-00274838⟩

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