Worley's Cellular Textures

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Given a set of random feature points, we can compute the distance from any point to the nearest feature point. Call this nearest-feature distance function
. The function that returns the distance to the second nearest feature is
, and the
nearest-feature distance,
. Cellular textures, Worley observed, can be generated from linear combinations of the first few
. Adjust the weights of
to
with the sliders. Interesting results can also obtain using alternate distance metrics.
Contributed by: Arnie Cachelin (July 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
This Demonstration is based on S. Worley, "A Cellular Texture Basis Function," SIGGRAPH '96 Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques.
Permanent Citation
"Worley's Cellular Textures"
http://demonstrations.wolfram.com/WorleysCellularTextures/
Wolfram Demonstrations Project
Published: July 1 2011