From Ohm

3D Perlin Noise

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.

Noise1 Noise2 Noise3 graphs by Hugo Elias
Noise4 Noise5 Noise6 graphs by Hugo Elias

3D Perlin Noise:

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

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