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Authors: Laura Brandolini and Marco Piastra

Affiliation: Università degli Studi di Pavia, Italy

Keyword(s): Reeb graph, Active contours, Triangle mesh, Segmentation.

Related Ontology Subjects/Areas/Topics: Applications ; Graphical and Graph-Based Models ; Pattern Recognition ; Shape Representation ; Software Engineering ; Theory and Methods

Abstract: This paper illustrates a novel method to compute the Reeb graph for triangle meshes. The algorithm is based on the definition of discrete, active contours as counterparts of continuous level lines. Active contours are made up of edges and vertices with multiple presence and implicitly maintain a faithful representation of the level lines, even in case of coarse meshes with higher genus. This approach gives a great advantage in the identification of the nodes in the Reeb graph and also improves the overall efficiency of the algorithm in that at each step only the information local to the contours and their immediate neighborhood needs to be processed. The validation of functional integrity for the algorithm has been carried out experimentally, with real-world data, without mesh pre-processing.

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Paper citation in several formats:
Brandolini, L. and Piastra, M. (2012). COMPUTING THE REEB GRAPH FOR TRIANGLE MESHES WITH ACTIVE CONTOURS. In Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM; ISBN 978-989-8425-99-7; ISSN 2184-4313, SciTePress, pages 80-89. DOI: 10.5220/0003745500800089

@conference{icpram12,
author={Laura Brandolini. and Marco Piastra.},
title={COMPUTING THE REEB GRAPH FOR TRIANGLE MESHES WITH ACTIVE CONTOURS},
booktitle={Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM},
year={2012},
pages={80-89},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003745500800089},
isbn={978-989-8425-99-7},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM
TI - COMPUTING THE REEB GRAPH FOR TRIANGLE MESHES WITH ACTIVE CONTOURS
SN - 978-989-8425-99-7
IS - 2184-4313
AU - Brandolini, L.
AU - Piastra, M.
PY - 2012
SP - 80
EP - 89
DO - 10.5220/0003745500800089
PB - SciTePress

- Science and Technology Publications, Lda.
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