Treffer: Topology preserving digitization with FCC and BCC grids

Title:
Topology preserving digitization with FCC and BCC grids
Authors:
STELLDINGER, Peer, STRAND, Robin
Source:
Combinatorial image analysis (11th International Workshop, IWCIA 2006, Berlin, Germany, June 19-21, 2006)0IWCIA 2006. :226-240
Publisher Information:
Berlin; New York: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 13 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, Cubique, Cubics, Cúbico, Echantillonnage, Sampling, Muestreo, Grille, Grid, Rejilla, Image tridimensionnelle, Tridimensional image, Imagen tridimensional, Méthode directe, Direct method, Método directo, Numérisation, Digitizing, Numerización, Topologie, Topology, Topología, Voxel, Borne erreur, Error bound, Limite error
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Cognitive Systems Group, University of Hamburg, Vogt-Koln-Str. 30, 22527 Hamburg, Germany
Centre for Image Analysis, Uppsala University, Lägerhyddsvägen 3, 752237 Uppsala, Sweden
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=19131707
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.19131707
Database:
PASCAL Archive

Weitere Informationen

In digitizing 3D objects one wants as much as possible object properties to be preserved in its digital reconstruction. One of the most fundamental properties is topology. Only recently a sampling theorem for cubic grids could be proved which guarantees topology preservation [1]. The drawback of this theorem is that it requires more complicated reconstruction methods than the direct representation with voxels. In this paper we show that face centered cubic (fcc) and body centered cubic (bcc) grids can be used as an alternative. The fcc and bcc voxel representations can directly be used for a topologically correct reconstruction. Moreover this is possible with coarser grid resolutions than in the case of a cubic grid. The new sampling theorems for fcc and bcc grids also give absolute bounds for the geometric error.