Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 127827, 8 pages
Border Figure Detection Using a Phase Oscillator Network with Dynamical Coupling
1Pósgraduação em Engenharia Elétrica, Escola de Engenharia, Universidade Presbiteriana Mackenzie, Rua da Consolação 896, CEP 01302-907, São Paulo, SP, Brazil
2Departamento de Engenharia de Telecomunicações e Controle, Escola Politécnica, Universidade de São Paulo, Av. Prof. Luciano Gualberto 380, Travessa 3, CEP 05508-900, São Paulo, SP, Brazil
Received 13 January 2008; Revised 17 April 2008; Accepted 30 May 2008
Academic Editor: Jerzy Warminski
Copyright © 2008 L. H. A. Monteiro et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Oscillator networks have been developed in order to perform specific tasks
related to image processing. Here we analytically investigate the existence of synchronism in a pair of phase oscillators that are short-range dynamically coupled. Then, we use these analytical results to design a network able of detecting border
of black-and-white figures. Each unit composing this network is a pair of such
phase oscillators and is assigned to a pixel in the image. The couplings among
the units forming the network are also dynamical. Border detection emerges from
the network activity.