From Ohm

Perlin Noise is a procedural description of a noise-function.

Simple noise volume:

$f(x,y,z) = random(x,y,z) \in [-1,1]$

Interpolation of the noise volume yields a noise function with a carrier frequency of half the voxel distance.

Perlin Noise is the **sum of noise-function with increasing carrier frequency and decreasing amplitude**. Typically the frequency is doubled and the amplitude is halved.
This is also known as **turbulence** function.

3D Perlin Noise:

blender.org

$f(x,y,z) = \sum \frac1f noise_f(x,y,z)$

Retrieved from http://schorsch.efi.fh-nuernberg.de/roettger/index.php/MedicalVisualization/3DPerlinNoise

Page last modified on November 17, 2015, at 10:09 AM