Wavelet noise

{{Short description|Type of noise in computer graphics}}

{{See also|Wavelet}}

Wavelet noise is an alternative to Perlin noise which reduces the problems of aliasing and detail loss that are encountered when Perlin noise is summed into a fractal.

Algorithm detail

The basic algorithm for 2-dimensional wavelet noise is as follows:

  • Create an image, R, filled with uniform white noise.
  • Downsample R to half-size to create R^\downarrow, then upsample it back up to full size to create R^{\downarrow\uparrow}.
  • Subtract R^{\downarrow\uparrow} from R to create the end result, N.

This results in an image that contains all the information that cannot be represented at half-scale. From here, N can be used similarly to Perlin noise to create fractal patterns.