Distance, granulometry, skeleton

Michel Couprie (1) , Hugues Talbot (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

In this chapter, we present a series of concepts and operators based on the notion of distance. As often with mathematical morphology, there exists more than one way to present ideas, that are simultaneously equivalent and complementary. Here, our problem is to present methods to characterize sets of points based on metric, geometry and topology considerations. An important concept is that of the skeleton, which is of fundamental importance in pattern recognition, and has many practical applications

Mots clés: distance transform; thinning

Domaines: Mathématique discrète [cs.DM]; Traitement des images [eess.IV]

Michel Couprie, Hugues Talbot. Distance, granulometry, skeleton. Hugues Talbot and Laurent Najman. Distance, granulometry, skeleton, Wiley, pp.291-316, 2011, 978-1848212152. ⟨hal-00622521⟩