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Authors: D. Ayala ; E. Vergés and I. Cruz

Affiliation: Universitat Politècnica de Catalunya, Spain

Keyword(s): Binary Volume Models, Orthogonal Pseudo-polyhedra, Euler Characteristic, Genus.

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

Abstract: Topological characteristics are fundamental in many areas. In this paper we present a method that computes the Euler characteristic and the genus of a volume dataset. The followed approach, based on the analogy between binary volume datasets and orthogonal pseudo-polyhedra (OPP), computes the mentioned values using two models that are suitable for representing OPP: the Extreme Vertices Model (EVM) and the Ordered Union of Disjoint Boxes (OUDB). We show the results of these methods for phantom models as well as real datasets, and compare the efficiency of the presented methods with those based on the classic voxel model.

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Paper citation in several formats:
Ayala, D.; Vergés, E. and Cruz, I. (2012). A POLYHEDRAL APPROACH TO COMPUTE THE GENUS OF A VOLUME DATASET. In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications (VISIGRAPP 2012) - GRAPP; ISBN 978-989-8565-02-0; ISSN 2184-4321, SciTePress, pages 38-47. DOI: 10.5220/0003821400380047

@conference{grapp12,
author={D. Ayala. and E. Vergés. and I. Cruz.},
title={A POLYHEDRAL APPROACH TO COMPUTE THE GENUS OF A VOLUME DATASET},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications (VISIGRAPP 2012) - GRAPP},
year={2012},
pages={38-47},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003821400380047},
isbn={978-989-8565-02-0},
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 2012) - GRAPP
TI - A POLYHEDRAL APPROACH TO COMPUTE THE GENUS OF A VOLUME DATASET
SN - 978-989-8565-02-0
IS - 2184-4321
AU - Ayala, D.
AU - Vergés, E.
AU - Cruz, I.
PY - 2012
SP - 38
EP - 47
DO - 10.5220/0003821400380047
PB - SciTePress

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