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

Humberto Sossa, Hermilo Sánchez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

We present two formulations and two procedures that can be used for computing the number of bubbles and tunnels of a 3-D binary object. The first formulation is useful to determine the number of bubbles of an object, while the second one can be used to calculate the number of tunnels of an object. Both formulations are formally demonstrated. Examples are provided to numerically validate the functioning of both formulations. On the other hand, the first procedure allows obtaining the number of bubbles and tunnels of a 3-D object while the second procedure allows computing the number of bubbles and tunnels of several 3-D objects. Examples with 3-D images are provided to illustrate the utility and validity of the second procedure.

Original languageEnglish
Title of host publicationPattern Recognition Applications and Methods - 5th International Conference, ICPRAM 2016, Revised Selected Papers
EditorsMaria De Marsico, Gabriella Sanniti di Baja, Ana Fred
PublisherSpringer Verlag
Pages194-211
Number of pages18
ISBN (Print)9783319533742
DOIs
StatePublished - 2017
Event5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016 - Rome, Italy
Duration: 24 Feb 201626 Feb 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10163 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Conference on Pattern Recognition Applications and Methods, ICPRAM 2016
Country/TerritoryItaly
CityRome
Period24/02/1626/02/16

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