fast_gpu_voronoi

GPU-Accelerated Jump Flooding Algorithm for Voronoi Diagram in log*(n)

MIT License

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2

Demo (Google Colab)

Research Authors
[slides] GPU-Accelerated Jump Flooding Algorithm for Voronoi Diagram in log*(n) [this] Maciej A. Czyzewski
[article] Facet-JFA: Faster computation of discrete Voronoi diagrams [2014] Talha Bin Masood, Hari Krishna Malladi, Vijay Natarajan
[article] Jump Flooding in GPU with Applications to Voronoi Diagram and Distance Transform [2006] Guodong Rong, Tiow-Seng Tan

Implemented Algorithms

Installation & Example

Project can be installed using pip:

$ pip3 install fast_gpu_voronoi

Here is a small example to whet your appetite:

from fast_gpu_voronoi       import Instance
from fast_gpu_voronoi.jfa   import JFA_star
from fast_gpu_voronoi.debug import save

I = Instance(alg=JFA_star, x=50, y=50, \
        pts=[[ 7,14], [33,34], [27,10],
             [35,10], [23,42], [34,39]])
I.run()

print(I.M.shape)                 # (50, 50, 1)
save(I.M, I.x, I.y, force=True)  # __1_debug.png

Development

If you want to contribute, first clone git repository and then run tests:

$ git clone [email protected]:maciejczyzewski/fast_gpu_voronoi.git
$ pip3 install -r requirements.txt
$ pytest

Results

Our method Current best
JFA* JFA
JFA_star JFA
steps = log*(2000) = 4 steps = log(720) ~= 10

...for x = 720; y = 720; seeds = 2000 (read as n = 2000; p = 720).

Thanks