Skip to Main content Skip to Navigation
Conference papers

Nonlocal Morphological Levelings by Partial Difference Equations over Weighted Graphs

Vinh Thong Ta 1 Abderrahim Elmoataz 1 Olivier Lézoray 1
1 Equipe Image - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : In this paper, a novel approach to Mathematical Morphology operations is proposed. Morphological operators based on partial differential equations (PDEs) are extended to weighted graphs of the arbitrary topologies by considering partial difference equations. We focus on a general class of morphological filters, the levelings; and propose a novel approach of such filters. Indeed, our methodology recovers classical local PDEs-based levelings in image processing, generalizes them to nonlocal configurations and extends them to process any discrete data that can be represented by a graph. Experimental results show applications and the potential of our levelings to textured image processing, region adjacency graph based multiscale leveling and unorganized data set filtering.
Complete list of metadatas

Cited literature [8 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00333396
Contributor : Yvain Queau <>
Submitted on : Tuesday, March 31, 2015 - 2:38:38 PM
Last modification on : Wednesday, November 13, 2019 - 3:42:03 PM
Document(s) archivé(s) le : Tuesday, April 18, 2017 - 6:01:52 AM

File

VinhThongTA_08_icpr.pdf
Files produced by the author(s)

Identifiers

Citation

Vinh Thong Ta, Abderrahim Elmoataz, Olivier Lézoray. Nonlocal Morphological Levelings by Partial Difference Equations over Weighted Graphs. 19th International Conference on Pattern Recognition (ICPR 2008), Dec 2008, Tampa, United States. pp.1 - 4, ⟨10.1109/ICPR.2008.4761413⟩. ⟨hal-00333396⟩

Share

Metrics

Record views

192

Files downloads

237