Topographical Tools for Filtering and Segmentation 1 : Watersheds on Node- Or Edge-Weighted Graphs

Fernand Meyer

ISBN 10: 1786301571 / ISBN 13: 9781786301574

Editore: Wiley Mai 2019, 2019

Riguardo questo articolo

Neuware - Mathematical morphology has developed a powerful methodology for segmenting images, based on connected filters and watersheds. We have chosen the abstract framework of node- or edge-weighted graphs for an extensive mathematical and algorithmic description of these tools. Volume 1 is devoted to watersheds. The topography of a graph appears by observing the evolution of a drop of water moving from node to node on a weighted graph, along flowing paths, until it reaches regional minima. The upstream nodes of a regional minimum constitute its catchment zone. The catchment zones may be constructed independently of each other and locally, in contrast with the traditional approach where the catchment basins have to be constructed all at the same time. Catchment zones may overlap, and thus, a new segmentation paradigm is proposed in which catchment zones cover each other according to a priority order. The resulting partition may then be corrected, by local and parallel treatments, in order to achieve the desired precision.

Codice articolo 9781786301574

Dati bibliografici

• Titolo: Topographical Tools for Filtering and Segmentation 1 : Watersheds on Node- Or Edge-Weighted Graphs
• Editore: Wiley Mai 2019
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 1786301571
• ISBN 13: 9781786301574
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 239 L x 163 A x 23 P (millimetri) 239 millimetri di larghezza per 163 millimetri di altezza per 23 millimetri di profondità
• Peso: 612 grammi

Descrizione articolo

Riassunto

Mathematical morphology has developed a powerful methodology for segmenting images, based on connected filters and watersheds. We have chosen the abstract framework of node- or edge-weighted graphs for an extensive mathematical and algorithmic description of these tools.

Volume 1 is devoted to watersheds. The topography of a graph appears by observing the evolution of a drop of water moving from node to node on a weighted graph, along flowing paths, until it reaches regional minima. The upstream nodes of a regional minimum constitute its catchment zone.

The catchment zones may be constructed independently of each other and locally, in contrast with the traditional approach where the catchment basins have to be constructed all at the same time. Catchment zones may overlap, and thus, a new segmentation paradigm is proposed in which catchment zones cover each other according to a priority order. The resulting partition may then be corrected, by local and parallel treatments, in order to achieve the desired precision.

Informazioni sull?autore

Fernand Meyer has been working at the Center for Mathematical Morphology of MINES ParisTech since 1975. He participated actively in the development of mathematical morphology, particularly in the field of segmentation and filtering.