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Analytical Noise Derivatives
Procedural noise functions return smoothly varying results as calculated from spatial coordinates (as the spatial coordinate changes so does the value). The derivatives of procedural noise functions can be useful in many different ways. eg – analytical bump/normal mapping – … Continue reading
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Adding a 4th dimension
In a previous post I describe a fast 32bit hash function which I’ve been using as the basis for all noises documented on this site. Recently I have made some changes to it resulting in… Improved flexibility A slight improvement … Continue reading
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Modifications to Classic Perlin Noise
I have been working with analytical noise derivatives lately and it turns out the analytical derivative of classic perlin noise can get rather involved. Ken Perlin solved this problem in simplex noise by using radial kernel summation rather than interpolation … Continue reading
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Hermite Noise
Quintic Hermite Interpolation allows us to interpolate a value with respect to 3 variables. Its position, velocity and acceleration. In mathematical terms this translates to the function and its 1st+2nd derivative. More information on Quintic Hermite Interpolation can be found … Continue reading
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Simplex Noise
In 2001 Ken Perlin introduced a new type of gradient noise called Simplex Noise. The document can be found here. It is essentially his original gradient noise mapped onto a simplex grid. The term “Simplex” means the simplest possible primitive … Continue reading
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PolkaDot, Star and Cubist Noises
I’ve uploaded three new noise types to the GitHub repository. The first is a PolkaDot style noise in both 2D and 3D which generates smooth falloff dots at random sizes, intensities and locations over a uniform grid. ( There’s even … Continue reading
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Optimized ArtifactFree GPU Cellular Noise
Cellular Noise is a noise basis which mimics a voronoi diagram. It was first proposed by Steven Worley in his 1996 paper “A Cellular Texture Basis Function” and has been used extensively by the graphics community ever since. Stefan Gustavson … Continue reading
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