Morphology on Graphs and Minimum Spanning Trees

  • Authors:
  • Fernand Meyer;Jean Stawiaski

  • Affiliations:
  • MINES Paristech, CMM- Centre de morphologie mathématique, Mathématiques et Systèmes, Fontainebleau cedex, France 77305;MINES Paristech, CMM- Centre de morphologie mathématique, Mathématiques et Systèmes, Fontainebleau cedex, France 77305

  • Venue:
  • ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

This paper revisits the construction of watershed and waterfall hierarchies through a thorough analysis of Boruvka's algorithms for constructing minimum spanning trees of edge weighted graphs. In the case where the watershed of a node weighted graph is to be constructed, we propose a distribution of weights on the edges, so that the waterfall extraction on the edge weighted graph becomes equivalent with the watershed extraction on the node weighted graph.