Training a multilayered perceptron to compute the Euler number of a 2-D binary image

Humberto Sossa; Ángel Carreón; Raúl Santiago

doi:10.1007/978-3-319-39393-3_5

Training a multilayered perceptron to compute the Euler number of a 2-D binary image

Humberto Sossa, Ángel Carreón, Raúl Santiago

Centro de Investigación en Computación (CIC)

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

2 Scopus citations

Abstract

In this short communication, we explain how a Multilayered Perceptron (MLP) can be used to compute the Euler number or Genus of a 2-D binary image. We take as basis the results provided by a mathematical formulation that is known providing exact results in the computation of this important topological image feature to derive two MLP-based architectures, one useful for the 4-connected case and one useful for 8-connected case. We present results with a set of realistic images and compare our proposals in terms of processing with other approaches reported in literature.

Original language	English
Title of host publication	Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings
Editors	José Arturo Olvera-López, José Francisco Martínez-Trinidad, Jesús Ariel Carrasco-Ochoa, Víctor Ayala-Ramírez, Xiaoyi Jiang
Publisher	Springer Verlag
Pages	44-53
Number of pages	10
ISBN (Print)	9783319393926
DOIs	https://doi.org/10.1007/978-3-319-39393-3_5
State	Published - 2016
Event	8th Mexican Conference on Pattern Recognition, MCPR 2016 - Guanajuato, Mexico Duration: 22 Jun 2016 → 25 Jun 2016

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9703
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	8th Mexican Conference on Pattern Recognition, MCPR 2016
Country/Territory	Mexico
City	Guanajuato
Period	22/06/16 → 25/06/16

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10.1007/978-3-319-39393-3_5

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Sossa, H., Carreón, Á., & Santiago, R. (2016). Training a multilayered perceptron to compute the Euler number of a 2-D binary image. In J. A. Olvera-López, J. F. Martínez-Trinidad, J. A. Carrasco-Ochoa, V. Ayala-Ramírez, & X. Jiang (Eds.), Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings (pp. 44-53). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9703). Springer Verlag. https://doi.org/10.1007/978-3-319-39393-3_5

Sossa, Humberto ; Carreón, Ángel ; Santiago, Raúl. / Training a multilayered perceptron to compute the Euler number of a 2-D binary image. Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings. editor / José Arturo Olvera-López ; José Francisco Martínez-Trinidad ; Jesús Ariel Carrasco-Ochoa ; Víctor Ayala-Ramírez ; Xiaoyi Jiang. Springer Verlag, 2016. pp. 44-53 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "In this short communication, we explain how a Multilayered Perceptron (MLP) can be used to compute the Euler number or Genus of a 2-D binary image. We take as basis the results provided by a mathematical formulation that is known providing exact results in the computation of this important topological image feature to derive two MLP-based architectures, one useful for the 4-connected case and one useful for 8-connected case. We present results with a set of realistic images and compare our proposals in terms of processing with other approaches reported in literature.",

author = "Humberto Sossa and {\'A}ngel Carre{\'o}n and Ra{\'u}l Santiago",

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Sossa, H, Carreón, Á & Santiago, R 2016, Training a multilayered perceptron to compute the Euler number of a 2-D binary image. in JA Olvera-López, JF Martínez-Trinidad, JA Carrasco-Ochoa, V Ayala-Ramírez & X Jiang (eds), Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9703, Springer Verlag, pp. 44-53, 8th Mexican Conference on Pattern Recognition, MCPR 2016, Guanajuato, Mexico, 22/06/16. https://doi.org/10.1007/978-3-319-39393-3_5

Training a multilayered perceptron to compute the Euler number of a 2-D binary image. / Sossa, Humberto; Carreón, Ángel; Santiago, Raúl.
Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings. ed. / José Arturo Olvera-López; José Francisco Martínez-Trinidad; Jesús Ariel Carrasco-Ochoa; Víctor Ayala-Ramírez; Xiaoyi Jiang. Springer Verlag, 2016. p. 44-53 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9703).

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

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AU - Carreón, Ángel

AU - Santiago, Raúl

N1 - Publisher Copyright: © Springer International Publishing Switzerland 2016.

PY - 2016

Y1 - 2016

N2 - In this short communication, we explain how a Multilayered Perceptron (MLP) can be used to compute the Euler number or Genus of a 2-D binary image. We take as basis the results provided by a mathematical formulation that is known providing exact results in the computation of this important topological image feature to derive two MLP-based architectures, one useful for the 4-connected case and one useful for 8-connected case. We present results with a set of realistic images and compare our proposals in terms of processing with other approaches reported in literature.

AB - In this short communication, we explain how a Multilayered Perceptron (MLP) can be used to compute the Euler number or Genus of a 2-D binary image. We take as basis the results provided by a mathematical formulation that is known providing exact results in the computation of this important topological image feature to derive two MLP-based architectures, one useful for the 4-connected case and one useful for 8-connected case. We present results with a set of realistic images and compare our proposals in terms of processing with other approaches reported in literature.

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EP - 53

BT - Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings

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A2 - Martínez-Trinidad, José Francisco

A2 - Carrasco-Ochoa, Jesús Ariel

A2 - Ayala-Ramírez, Víctor

A2 - Jiang, Xiaoyi

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T2 - 8th Mexican Conference on Pattern Recognition, MCPR 2016

Y2 - 22 June 2016 through 25 June 2016

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Sossa H, Carreón Á, Santiago R. Training a multilayered perceptron to compute the Euler number of a 2-D binary image. In Olvera-López JA, Martínez-Trinidad JF, Carrasco-Ochoa JA, Ayala-Ramírez V, Jiang X, editors, Pattern Recognition - 8th Mexican Conference, MCPR 2016, Proceedings. Springer Verlag. 2016. p. 44-53. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-39393-3_5

Training a multilayered perceptron to compute the Euler number of a 2-D binary image

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