Efficient computation of the euler number of a 2-D binary image

Juan Humberto Sossa-Azuela, Ángel A. Carreón-Torres, Raúl Santiago-Montero, Ernesto Bribiesca-Correa, Alberto Petrilli-Barceló

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

2 Scopus citations

Abstract

A new method to compute the Euler number of a 2-D binary image is described in this paper. The method employs three comparisons unlike other proposals that utilize more comparisons. We present two variations, one useful for the case of images containing only 4-connected objects and one useful in the case of 8-connected objects. To numerically validate our method, we firstly apply it to a set of very simple examples; to demonstrate its applicability, we test it next with a set of images of different sizes and object complexities. To show competitiveness of our method against other proposals, we compare it in terms of processing times with some of the state-of-the-art-formulations reported in literature.

Original languageEnglish
Title of host publicationAdvances in Soft Computing - 15th Mexican International Conference on Artificial Intelligence, MICAI 2016, Proceedings
EditorsOscar Herrera-Alcantara, Grigori Sidorov
PublisherSpringer Verlag
Pages401-413
Number of pages13
ISBN (Print)9783319624334
DOIs
StatePublished - 2017
Event15th Mexican International Conference on Artificial Intelligence, MICAI 2016 - Cancun, Mexico
Duration: 23 Oct 201628 Oct 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10061 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference15th Mexican International Conference on Artificial Intelligence, MICAI 2016
Country/TerritoryMexico
CityCancun
Period23/10/1628/10/16

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