GPU Accelerated Computation and Visualization of Hexagonal Cellular Automata

  • Stéphane Gobron
  • Hervé Bonafos
  • Daniel Mestre
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5191)


We propose a graphics processor unit (GPU)-accelerated method for real-time computing and rendering cellular automata (CA) that is applied to hexagonal grids.Based on our previous work [9] –which introduced first and second dimensional cases– this paper presents a model for hexagonal grid algorithms. Proposed method is novel and it encodes and transmits large CA key-codes to the graphics card and consequently, this technique allows to visualize the CA information flow in real-time to easily identify emerging behaviors even for large data sets. To show the efficiency of our model we first present a set of characteristic hexagonal behaviors, and then describe computational statistics for central processing unit (CPU) and GPU on a set of different hardware and operating system (OS) configurations. We show that our model is flexible and very efficient as it permits to compute CA close to a thousand times faster than classical CPU methods. Additionally, free access is provided to our downloadable software for hexagonal grid CA simulations.


Hexagonal cellular automaton GPU-accelerated computation Digital imaging Real-time rendering Emerging behavior 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Stéphane Gobron
    • 1
  • Hervé Bonafos
    • 2
  • Daniel Mestre
    • 1
  1. 1.Institute of Mouvement SciencesCNRSMarseilleFrance
  2. 2.No Affiliations 

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