A framework for digital label images

Abstract : Digital label images - partitions of a discrete space - need a specific topological model to take into account not only the topologies of the regions but also the topology of the partition. In this article, we propose a topological framework for label images in which all the regions of the initial partition and of any coarser partition of the space can be explicitly represented accordingly to any classical adjacency relation. Moreover, we define a notion of simple point which enables atomic changes in the partition without breaking any topology. Finally, we discuss about the implementation of the framework.
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/hal-00962186
Contributor : Loïc Mazo <>
Submitted on : Thursday, March 20, 2014 - 5:09:09 PM
Last modification on : Saturday, October 27, 2018 - 1:30:43 AM
Long-term archiving on: Friday, June 20, 2014 - 1:16:08 PM

File

LabelImages.pdf
Files produced by the author(s)

Identifiers

Citation

Loïc Mazo. A framework for digital label images. Computational Topology in Image Context, May 2012, Bertinoro, Italy. pp.1-10, ⟨10.1007/978-3-642-30238-1_1⟩. ⟨hal-00962186⟩

Share

Metrics

Record views

294

Files downloads

90