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Authors: Irving Cruz-Matías and Dolors Ayala

Affiliation: Universitat Politècnica de Catalunya, Spain

Keyword(s): Binary Volume Models, Orthogonal Polyhedra, Euler Characteristic, Euler Number or Genus.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometric Computing ; Geometry and Modeling ; Modeling and Algorithms

Abstract: In this paper we present a method to compute the Euler characteristic (χ) and the genus of a volume dataset. It uses an alternative decomposition model to represent binary volume datasets: the Compact Union of Disjoint Boxes (CUDB). The method is derived from the classical method used with a voxel model and the computation of c and the genus is achieved by analyzing the connectivity among boxes and using a CUDB connectedcomponent labeling process. We have tested our method both with phantom and real datasets and we show that it is more efficient than previous methods based on the voxel model, and other alternative models.

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Paper citation in several formats:
Cruz-Matías, I. and Ayala, D. (2013). An Efficient Alternative to Compute the Genus of Binary Volume Models. In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications (VISIGRAPP 2013) - GRAPP; ISBN 978-989-8565-46-4; ISSN 2184-4321, SciTePress, pages 18-26. DOI: 10.5220/0004280000180026

@conference{grapp13,
author={Irving Cruz{-}Matías. and Dolors Ayala.},
title={An Efficient Alternative to Compute the Genus of Binary Volume Models},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications (VISIGRAPP 2013) - GRAPP},
year={2013},
pages={18-26},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004280000180026},
isbn={978-989-8565-46-4},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications (VISIGRAPP 2013) - GRAPP
TI - An Efficient Alternative to Compute the Genus of Binary Volume Models
SN - 978-989-8565-46-4
IS - 2184-4321
AU - Cruz-Matías, I.
AU - Ayala, D.
PY - 2013
SP - 18
EP - 26
DO - 10.5220/0004280000180026
PB - SciTePress