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Image Edge Detection and Orientation Selection with Coupled Nonlinear Excitable Elements

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Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering

Part of the book series: Studies in Computational Intelligence ((SCI,volume 459))

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Abstract

This chapter presents an image-processing algorithm for edge detection and orientation selection with discretely coupled nonlinear elements. The algorithm utilizes the nonlinear characteristic of the FitzHugh-Nagumo model and arranges the elements on an image grid system. Themodel is described with a pair of ordinary differential equations with activator and inhibitor variables, and exhibits mono-stable excitability. It was previously found that a grid system consisting of mono-stable nonlinear elements self-organizes pulses at crossing points between an initial activator distribution and a threshold level. In particular, the imposition of strong inhibitory coupling on the grid system causes stationary pulses at the crossing points. The algorithm presented here focuses on the phenomenon in which the grid system self-organizes stationary pulses at the crossing points. In addition, the algorithm introduces anisotropic coupling strength into the grid system; the coupling strength is decided according to the difference between the gradient direction of the inhibitor distribution and the specific orientation. An experimental section demonstrates the results of edge detection and orientation selection for artificial and real images.

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Author information

Authors and Affiliations

  1. Faculty of Education, Yamaguchi University, Yamaguchi, Japan

    Atsushi Nomura

  2. Graduate School of Science and Technology, Yamaguchi University, Yamaguchi, Japan

    Yoshiki Mizukami

  3. Center for the Promotion of Higher Education, Yamaguchi University, Yamaguchi, Japan

    Koichi Okada

  4. Faculty of Letters, Chiba University, Chiba, Japan

    Makoto Ichikawa

Authors
  1. Atsushi Nomura
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  2. Yoshiki Mizukami
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  3. Koichi Okada
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  4. Makoto Ichikawa
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Corresponding author

Correspondence to Atsushi Nomura .

Editor information

Editors and Affiliations

  1. Inst. Intelligente Systemtechnologien, Universität Klagenfurt, Universitätsstr. 65-67, Klagenfurt, 9020, Austria

    Kyandoghere Kyamakya

  2. , Lehrgebiet Informationstechnik, FernUniversität in Hagen, Universitätsstraße 27, Hagen, 58097, Germany

    Wolfgang A. Halang

  3. FB Elektrotechnik, Inst. Theoretische Elektrotechnik, Universität Hannover, Appelstr. 9 A, Hannover, 30167, Germany

    Wolfgang Mathis

  4. , Lakeside Park, Alpen-Adria Universität Klagenfurt, Haus B04, Klagenfurt, 9020, Austria

    Jean Camberlain Chedjou

  5. Fernuniversität Hagen, Hagen, 58084, Germany

    Zhong Li

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Nomura, A., Mizukami, Y., Okada, K., Ichikawa, M. (2013). Image Edge Detection and Orientation Selection with Coupled Nonlinear Excitable Elements. In: Kyamakya, K., Halang, W., Mathis, W., Chedjou, J., Li, Z. (eds) Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering. Studies in Computational Intelligence, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34560-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-34560-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34559-3

  • Online ISBN: 978-3-642-34560-9

  • eBook Packages: EngineeringEngineering (R0)

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