9711

Fractal Cellular Textures

In the synthesis of natural-looking textures, it is common to mimic the self-similarity found in many natural (fractal) systems by mixing copies of a synthetic texture generated at different scales. A "fractal" texture is typically produced by summing the first few "octaves" of a particular texture function. In this case, we use Worley's cellular texture, which combines the first few nearest-neighbor distance functions, to , for a set of random feature points. Adjust the weights of to with the sliders. Interesting results can also be obtained using alternate distance metrics.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

This Demonstration is based on S. Worley, "A Cellular Texture Basis Function," in SIGGRAPH '96 Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques, New York: Association for Computing Machinery, 1996 pp. 291–294.
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 . Producing fractal versions of these texture functions can reproduce interesting natural-looking textures with minimal information input.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+