A shortest path search algorithm using an excitable digital reaction-diffusion system

Koichi Ito, Masahiko Hiratsuka, Takafumi Aoki, Tatsuo Higuchi

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

This paper presents a shortest path search algorithm using a model of excitable reaction-diffusion dynamics. In our previous work, we have proposed a framework of Digital Reaction-Diffusion System (DRDS) - a model of a discrete-time discrete-space reaction-diffusion system useful for nonlinear signal processing tasks. In this paper, we design a special DRDS, called an "excitable DRDS," which emulates excitable reaction-diffusion dynamics and produces traveling waves. We also demonstrate an application of the excitable DRDS to the shortest path search problem defined on two-dimensional (2-D) space with arbitrary boundary conditions.

Original languageEnglish
Pages (from-to)735-743
Number of pages9
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE89-A
Issue number3
DOIs
Publication statusPublished - 2006

Keywords

  • Excitable dynamics
  • Nonlinear dynamics
  • Reaction-diffusion system
  • Shortest path search

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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