Next Article in Journal
Provisioning Vehicular Services and Communications Based on a Bluetooth Sensor Network Deployment
Previous Article in Journal
An Efficient and Reliable Geographic Routing Protocol Based on Partial Network Coding for Underwater Sensor Networks
Article Menu

Export Article

Open AccessArticle
Sensors 2015, 15(6), 12736-12764; doi:10.3390/s150612736

Reaction Diffusion Voronoi Diagrams: From Sensors Data to Computing

1
Department of Computer Sciences and Automatic Control, UNED, C/ Juan del Rosal, 16, Madrid 28040, Spain
2
Institute of Physics ASCR, Na Slovance 2, 18221 Prague 8, Czech Republic
3
Department of Computer Science, Faculty of Electrical Engineering, Czech Technical University in Prague, Technicka 2, 16627 Prague 6, Czech Republic
*
Author to whom correspondence should be addressed.
Academic Editor: Vittorio M.N. Passaro
Received: 17 January 2015 / Revised: 18 May 2015 / Accepted: 25 May 2015 / Published: 29 May 2015
(This article belongs to the Section Physical Sensors)

Abstract

In this paper, a new method to solve computational problems using reaction diffusion (RD) systems is presented. The novelty relies on the use of a model configuration that tailors its spatiotemporal dynamics to develop Voronoi diagrams (VD) as a part of the system’s natural evolution. The proposed framework is deployed in a solution of related robotic problems, where the generalized VD are used to identify topological places in a grid map of the environment that is created from sensor measurements. The ability of the RD-based computation to integrate external information, like a grid map representing the environment in the model computational grid, permits a direct integration of sensor data into the model dynamics. The experimental results indicate that this method exhibits significantly less sensitivity to noisy data than the standard algorithms for determining VD in a grid. In addition, previous drawbacks of the computational algorithms based on RD models, like the generation of volatile solutions by means of excitable waves, are now overcome by final stable states. View Full-Text
Keywords: reaction diffusion; FitzHugh–Nagumo; path planning; navigation; exploration; Voronoi diagram; laser range sensor; sonar sensor; Turing instability reaction diffusion; FitzHugh–Nagumo; path planning; navigation; exploration; Voronoi diagram; laser range sensor; sonar sensor; Turing instability
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. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Vázquez-Otero, A.; Faigl, J.; Dormido, R.; Duro, N. Reaction Diffusion Voronoi Diagrams: From Sensors Data to Computing. Sensors 2015, 15, 12736-12764.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Sensors EISSN 1424-8220 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top