Hierarchic Euclidean skeletons in cubical complexes

Michel Couprie (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

In the 90s, several authors introduced the notion of a hierarchic family of 2D Euclidean skeletons, evolving smoothly under the control of a filtering parameter. We provide in this paper a discrete framework which formalizes and generalizes this notion, in particular to higher dimensions. This framework allows us to propose a new skeletonization scheme and to prove several important properties, such as topology preservation and stability w.r.t. parameter changes.

Domaines: Traitement des images [eess.IV]

Michel Couprie. Hierarchic Euclidean skeletons in cubical complexes. Discrete Geometry for Computer Imagery, 2011, France. pp.141-152, ⟨10.1007/978-3-642-19867-0_12⟩. ⟨hal-00729055⟩