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Excited States
Finite State Machine
Wave Propagation
voronoi diagram
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Vesicle computers: Approximating a Voronoi diagram using Voronoi automata
Vesicle computers: Approximating a Voronoi diagram using Voronoi automata,10.1016/j.chaos.2011.01.016,Chaos Solitons & Fractals,Andrew Adamatzky,Ben D
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Vesicle computers: Approximating a Voronoi diagram using Voronoi automata
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Andrew Adamatzky
,
Ben De Lacy Costello
,
Julian Holley
,
Jerzy Gorecki
,
Larry Bull
Irregular arrangements of vesicles filled with excitable and precipitating chemical systems are imitated by Voronoi automata – finitestate machines defined on a planar Voronoi diagram. Every Voronoi cell takes four states: resting, excited, refractory and precipitate. A resting cell excites if it has at least one neighbour in an excited state. The cell precipitates if the ratio of excited cells in its neighbourhood versus the number of neighbours exceeds a certain threshold. To approximate a
Voronoi diagram
on Voronoi automata we project a planar set onto the automaton lattice, thus cells corresponding to datapoints are excited. Excitation waves propagate across the Voronoi automaton, interact with each other and form precipitate at the points of interaction. The configuration of the precipitate represents the edges of an approximated Voronoi diagram. We discover the relationship between the quality of the
Voronoi diagram
approximation and the precipitation threshold, and demonstrate the feasibility of our model in approximating Voronoi diagrams of arbitraryshaped objects and in constructing a skeleton of a planar shape.
Journal:
Chaos Solitons & Fractals  CHAOS SOLITON FRACTAL
, vol. 44, no. 7, pp. 480489, 2011
DOI:
10.1016/j.chaos.2011.01.016
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