On the computation of the number of bubbles and tunnels of a 3-D binary object

Humberto Sossa

doi:10.5220/0005629800170023

On the computation of the number of bubbles and tunnels of a 3-D binary object

Humberto Sossa

Centro de Investigación en Computación (CIC)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

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.

Original language	English
Title of host publication	ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods
Editors	Maria De Marsico, Gabriella Sanniti di Baja, Ana Fred
Publisher	SciTePress
Pages	17-23
Number of pages	7
ISBN (Electronic)	9789897581731
DOIs	https://doi.org/10.5220/0005629800170023
State	Published - 2016
Event	5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016 - Rome, Italy Duration: 24 Feb 2016 → 26 Feb 2016

Publication series

Name	ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods

Conference

Conference	5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016
Country/Territory	Italy
City	Rome
Period	24/02/16 → 26/02/16

Keywords

3-D binary object
Number of tunnels of a 3-D object
Number of voids or bubbles of a 3-D object

Access to Document

10.5220/0005629800170023

Cite this

Sossa, H. (2016). On the computation of the number of bubbles and tunnels of a 3-D binary object. In M. De Marsico, G. S. di Baja, & A. Fred (Eds.), ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods (pp. 17-23). (ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods). SciTePress. https://doi.org/10.5220/0005629800170023

Sossa, Humberto. / On the computation of the number of bubbles and tunnels of a 3-D binary object. ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods. editor / Maria De Marsico ; Gabriella Sanniti di Baja ; Ana Fred. SciTePress, 2016. pp. 17-23 (ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods).

@inproceedings{9fef84e228424f3eafbbc270f80ca1e6,

title = "On the computation of the number of bubbles and tunnels of a 3-D binary object",

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.",

keywords = "3-D binary object, Number of tunnels of a 3-D object, Number of voids or bubbles of a 3-D object",

author = "Humberto Sossa",

note = "Publisher Copyright: {\textcopyright} Copyright 2016 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved.; 5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016 ; Conference date: 24-02-2016 Through 26-02-2016",

year = "2016",

doi = "10.5220/0005629800170023",

language = "Ingl{\'e}s",

series = "ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods",

publisher = "SciTePress",

pages = "17--23",

editor = "{De Marsico}, Maria and {di Baja}, {Gabriella Sanniti} and Ana Fred",

booktitle = "ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods",

}

Sossa, H 2016, On the computation of the number of bubbles and tunnels of a 3-D binary object. in M De Marsico, GS di Baja & A Fred (eds), ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods. ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods, SciTePress, pp. 17-23, 5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016, Rome, Italy, 24/02/16. https://doi.org/10.5220/0005629800170023

On the computation of the number of bubbles and tunnels of a 3-D binary object. / Sossa, Humberto.
ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods. ed. / Maria De Marsico; Gabriella Sanniti di Baja; Ana Fred. SciTePress, 2016. p. 17-23 (ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - On the computation of the number of bubbles and tunnels of a 3-D binary object

AU - Sossa, Humberto

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - 3-D binary object

KW - Number of tunnels of a 3-D object

KW - Number of voids or bubbles of a 3-D object

UR - http://www.scopus.com/inward/record.url?scp=84970002425&partnerID=8YFLogxK

U2 - 10.5220/0005629800170023

DO - 10.5220/0005629800170023

M3 - Contribución a la conferencia

AN - SCOPUS:84970002425

T3 - ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods

SP - 17

EP - 23

BT - ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods

A2 - De Marsico, Maria

A2 - di Baja, Gabriella Sanniti

A2 - Fred, Ana

PB - SciTePress

T2 - 5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016

Y2 - 24 February 2016 through 26 February 2016

ER -

Sossa H. On the computation of the number of bubbles and tunnels of a 3-D binary object. In De Marsico M, di Baja GS, Fred A, editors, ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods. SciTePress. 2016. p. 17-23. (ICPRAM 2016 - Proceedings of the 5th International Conference on Pattern Recognition Applications and Methods). doi: 10.5220/0005629800170023

On the computation of the number of bubbles and tunnels of a 3-D binary object

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this