Result: Topological map : An efficient tool to compute incrementally topological features on 3D images

Title:
Topological map : An efficient tool to compute incrementally topological features on 3D images
Authors:
DAMIAND, Guillaume, PELTIER, Samuel, FUCHS, Laurent, LIENHARDT, Pascal
Source:
Combinatorial image analysis (11th International Workshop, IWCIA 2006, Berlin, Germany, June 19-21, 2006)0IWCIA 2006. :1-15
Publisher Information:
Berlin; New York: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 26 ref 1
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Intelligence artificielle, Artificial intelligence, Reconnaissance des formes. Traitement numérique des images. Géométrie algorithmique, Pattern recognition. Digital image processing. Computational geometry, Analyse combinatoire, Combinatorial analysis, Análisis combinatorio, Analyse image, Image analysis, Análisis imagen, Contrôle fabrication, Processing control, Control fabricación, Equation Euler, Euler equation, Ecuación Euler, Géométrie combinatoire, Combinatorial geometry, Geometría combinatoria, Image tridimensionnelle, Tridimensional image, Imagen tridimensional, Modélisation, Modeling, Modelización, Pilotage ordinateur, Computer control, Control por ordenador, Topologie, Topology, Topología, Traitement image, Image processing, Procesamiento imagen, Vision ordinateur, Computer vision, Visión ordenador
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
SIC -bât. SP2MI, Bvd M. et P. Curie BP 30179, 86962 Futuroscope Chasseneuil, France
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=19131690
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.19131690
Database:
PASCAL Archive

Further Information

In this paper, we show how to use the three dimensional topological map in order to compute efficiently topological features on objects contained in a 3D image. These features are useful for example in image processing to control operations or in computer vision to characterize objects. Topological map is a combinatorial model which represents both topological and geometrical information of a three dimensional labeled image. This model can be computed incrementally by using only two basic operations: the removal and the fictive edge shifting. In this work, we show that Euler characteristic can be computed incrementally during the topological map construction. This involves an efficient algorithm and open interesting perspectives for other features.