Skip to Main content Skip to Navigation
Conference papers

Minimal simple pairs in the cubic grid

Abstract : Preserving topological properties of objects during thinning procedures is an important issue in the field of image analysis. This paper constitutes an introduction to the study of non-trivial simple sets in the framework of cubical 3-D complexes. A simple set has the property that the homotopy type of the object in which it lies is not changed when the set is removed. The main contribution of this paper is a characterisation of the non-trivial simple sets composed of exactly two voxels, such sets being called minimal simple pairs.
Complete list of metadata

Cited literature [23 references]  Display  Hide  Download
Contributor : Michel Couprie Connect in order to contact the contributor
Submitted on : Monday, February 26, 2018 - 1:14:54 PM
Last modification on : Friday, August 5, 2022 - 3:43:58 PM



Nicolas Passat, Michel Couprie, Gilles Bertrand. Minimal simple pairs in the cubic grid. Discrete Geometry for Computer Imagery (DGCI), 2008, Lyon, France. pp.165-176, ⟨10.1007/978-3-540-79126-3_16⟩. ⟨hal-00622230⟩



Record views


Files downloads