Minimal simple sets: A new concept for topology-preserving transformations - Archive ouverte HAL Access content directly
Conference Papers Year : 2008

Minimal simple sets: A new concept for topology-preserving transformations

(1) , (2) , (1) , (2)
1
2

Abstract

Preserving topological properties of binary objects during thinning procedures is an important issue in the field of image analysis. In this context, we present the new notion of simple set which extends the well-known notion of simple point. Similarly to simple points, simple sets have the property that the homotopy type of the object in which they lie is not changed when such sets are removed. This paper defines and justifies the concept of simple sets and of a sub-family of such sets called minimal simple sets. It also briefly describes some first results and work in progress on this subject.
Fichier principal
Vignette du fichier
Passat CTIC 2008 2.pdf (126.21 Ko) Télécharger le fichier
Vignette du fichier
Passat CTIC 2008 2 Slides.pdf (775.34 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01694895 , version 1 (28-01-2018)

Identifiers

  • HAL Id : hal-01694895 , version 1

Cite

Nicolas Passat, Michel Couprie, Loïc Mazo, Gilles Bertrand. Minimal simple sets: A new concept for topology-preserving transformations. Computational Topology in Image Context (CTIC), 2008, Poitiers, France. ⟨hal-01694895⟩
364 View
38 Download

Share

Gmail Facebook Twitter LinkedIn More