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Topological Map: Minimal Encoding of 3d Segmented Images

Yves Bertrand 1 Guillaume Damiand 2 Christophe Fiorio 2
2 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : In this paper we define formally and completely the 3d topological map introduced in BertrandAl00: a model which encodes totally and minimally all the topological information of a 3d image. In particular, we focus on the problem of disconnections induced by the constructive definition based on several levels of maps. This multilevel representation is more or less a graph pyramid in sense that each level can be compute from the previous one in term of merge operations. Furthermore, algorithms extracting these maps from a segmented image have been given in BertrandAl00 and have been implemented and tested in practical applications.
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Submitted on : Thursday, May 11, 2017 - 2:17:45 PM
Last modification on : Wednesday, September 5, 2018 - 1:30:05 PM
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  • HAL Id : lirmm-01168509, version 1


Yves Bertrand, Guillaume Damiand, Christophe Fiorio. Topological Map: Minimal Encoding of 3d Segmented Images. GBR: Graph-Based Representation in Pattern Recognition, May 2001, Ischia, Italy. pp.64-73. ⟨lirmm-01168509⟩



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