Algorithmic Images Index
Examples demonstrating the complex, dynamic and sometimes
just curious graphic effects that can be achieved through the visualisation
of mathematical algorithms.
Perlin Noise, named after its inventor Ken Perlin, is a widely used texturing primitive in
two- and three- dimensional image creation. The Perlin Noise function generates a smoothly
interpolated space of pseudo-random values which can be used as the basis for the procedural generation of
realistic natural textures, such as marble, clouds, grass and many others. This article
demonstrates the Perlin Noise function in VB. A future article will look at
using the output to generate natural textures.
Last Updated: 1 November 2003
Continuing this short series on the use of cellular automata for creation of algorithmic
images, this sample demonstrates using the Totalistic form. A
Totalistic cellular automata differs from other the other forms of the algorithm by
summing the contribution from surrounding cells, and using modular arithmetic to
provide the result.
Last Updated: 23 October 2003
This sample models diffusion-limited aggregation and demonstrates that
random behaviours can lead to rather less random-looking results with
hardly any constraints on the random behaviour.
Last Updated: 5 September 2003
This sample shows demonstrates a cellular automata which was initially
designed to mimic catalytic reactions and in particular the Belousov-Zhabotinsky or "Clock" reaction. It produces a great variety of continuously
varying, wave-like patterns.
Last Updated: 25 August 2003
A cellular automata are a class of mathematical systems which have been used widely
in the investigation of complexity. An automaton is simple: an array of neighbouring
cells each have a finite number of possible states. Each cell is then set to change its
state when an imaginary clock ticks according to a set of rules which relate the new
state to that of its neighbouring cells. Even with very simple rules, surprisingly
complicated results bloom during their iteration.
Last Updated: 23 August 2003