Speeding up Simplification of Polygonal Curves using Nested Approximations - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Pattern Analysis and Applications Année : 2008

Speeding up Simplification of Polygonal Curves using Nested Approximations

Résumé

We develop a multiresolution approach to the problem of polygonal curve approximation. We show theoretically and experimentally that, if the simplification algorithm A used between any two successive levels of resolution satisfies some conditions, the multiresolution algorithm MR will have a complexity lower than the complexity of A. In particular, we show that if A has a O(N2/K) complexity (the complexity of a reduced search dynamic solution approach), where N and K are respectively the initial and the final number of segments, the complexity of MR is in O(N).We experimentally compare the outcomes of MR with those of the optimal "full search" dynamic programming solution and of classical merge and split approaches. The experimental evaluations confirm the theoretical derivations and show that the proposed approach evaluated on 2D coastal maps either shows a lower complexity or provides polygonal approximations closer to the initial curves.
Fichier principal
Vignette du fichier
MRShort_v5.pdf (629.83 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00171706 , version 1 (12-09-2007)
hal-00171706 , version 2 (20-09-2007)
hal-00171706 , version 3 (02-03-2008)

Identifiants

Citer

Pierre-François Marteau, Gildas Ménier. Speeding up Simplification of Polygonal Curves using Nested Approximations. Pattern Analysis and Applications, 2008, pp.1-8. ⟨10.1007/s10044-008-0133-y⟩. ⟨hal-00171706v3⟩
87 Consultations
133 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More