On the Computation of the Number of Bubbles and Tunnels of a 3-D Binary Object

Humberto Sossa

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Paper

On the Computation of the Number of Bubbles and Tunnels of a 3-D Binary Object

Topics: Feature Selection and Extraction; Image Understanding; Object Recognition; Shape Representation

In Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods ICPRAM - Volume 1, 17-23, 2016 , Rome, Italy

Author: Humberto Sossa

Affiliation: Instituto Politécnico Nacional-CIC, Mexico

Keyword(s): 3-D Binary Object, Number of Voids or Bubbles of a 3-D Object, Number of Tunnels of a 3-D Object.

Related Ontology Subjects/Areas/Topics: Applications ; Computer Vision, Visualization and Computer Graphics ; Feature Selection and Extraction ; Image Understanding ; Object Recognition ; Pattern Recognition ; Shape Representation ; Software Engineering ; Theory and Methods

Abstract: Two formulations and two general procedures useful to compute the number of bubbles and tunnels of 3-D binary objects are introduced in this paper. The first formulation is useful to compute the number of bubbles or voids of the object, while the second one is only useful to compute the number of tunnels or holes of the object. The first procedure allows obtaining, in two steps, the number of bubbles and tunnels of a 3-D object. Finally, the second procedure permits computing, in three steps, the number of bubbles and tunnels of several 3-D objects from an image containing them. Correctness of the functioning of the two formulations is established theoretically. Results with a set of images are provided to demonstrate the utility and validity of the second proposed procedures.

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Paper citation in several formats:

Sossa, H. (2016). On the Computation of the Number of Bubbles and Tunnels of a 3-D Binary Object. In Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods - ICPRAM; ISBN 978-989-758-173-1; ISSN 2184-4313, SciTePress, pages 17-23. DOI: 10.5220/0005629800170023

@conference{icpram16,
author={Humberto Sossa.},
title={On the Computation of the Number of Bubbles and Tunnels of a 3-D Binary Object},
booktitle={Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods - ICPRAM},
year={2016},
pages={17-23},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005629800170023},
isbn={978-989-758-173-1},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods - ICPRAM
TI - On the Computation of the Number of Bubbles and Tunnels of a 3-D Binary Object
SN - 978-989-758-173-1
IS - 2184-4313
AU - Sossa, H.
PY - 2016
SP - 17
EP - 23
DO - 10.5220/0005629800170023
PB - SciTePress