Title
Reaction Diffusion Voronoi Diagrams: From Sensors Data to Computing
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.
Year
DOI
Venue
2015
10.3390/s150612736
SENSORS
Keywords
Field
DocType
reaction diffusion,FitzHugh-Nagumo,path planning,navigation,exploration,Voronoi diagram,laser range sensor,sonar sensor,Turing instability
Motion planning,Data mining,Grid reference,Computational problem,Standard algorithms,Direct integration of a beam,Computer science,Electronic engineering,Computational science,Voronoi diagram,Grid,Computation
Journal
Volume
Issue
ISSN
15
6.0
1424-8220
Citations 
PageRank 
References 
1
0.43
8
Authors
4
Name
Order
Citations
PageRank
a vazquezotero110.43
Jan Faigl233642.34
R. Dormido39010.76
N. Duro49813.59