Walking in the Farey fan to Compute the Characteristics of a Discrete Straight Line Subsegment

Isabelle Sivignon 1, *
* Auteur correspondant
1 GIPSA-AGPIG - AGPIG
GIPSA-DIS - Département Images et Signal
Abstract : Given a Digital Straight Line (DSL) of known characteristics (a,b,\mu), we address the problem of computing the characteristics of any of its subsegments. We propose a new algorithm as a smart walk in the so called Farey Fan. We take profit of the fact that the Farey Fan of order n represents in a certain way all the digital segments of length n. The computation of the characteristics of a DSL subsegment is then equivalent to the localization of a point in the Farey Fan. Using fine arithmetical properties of the fan, we design a fast algorithm of theoretical complexity O(log(n)) where n is the length of the subsegment. Experiments show that our algorithm is faster than the one previously proposed by Said and Lachaud in [14,15].
Type de document :
Communication dans un congrès
17th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI 2013), Mar 2013, Séville, Spain. 7749, pp.23-34, 2013
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00765981
Contributeur : Isabelle Sivignon <>
Soumis le : lundi 17 décembre 2012 - 13:12:02
Dernière modification le : mercredi 17 juin 2015 - 01:21:48
Document(s) archivé(s) le : dimanche 18 décembre 2016 - 03:36:20

Fichier

article_final.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-00765981, version 1

Collections

Citation

Isabelle Sivignon. Walking in the Farey fan to Compute the Characteristics of a Discrete Straight Line Subsegment. 17th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI 2013), Mar 2013, Séville, Spain. 7749, pp.23-34, 2013. <hal-00765981>

Partager

Métriques

Consultations de
la notice

221

Téléchargements du document

79