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

Humberto Sossa

2016

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.

Paper Citation

in Harvard Style

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 - Volume 1: ICPRAM, ISBN 978-989-758-173-1, pages 17-23. DOI: 10.5220/0005629800170023

in Bibtex Style

@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 - Volume 1: ICPRAM,},
year={2016},
pages={17-23},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005629800170023},
isbn={978-989-758-173-1},
}

in EndNote Style

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