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Noises based on lattices, such as simulation noise and Perlin noise, are often calculated at different frequencies and summed together to form [[band-limited]] [[fractal]] signals.
Other approaches developed later that use vector calculus identities to produce divergence free fields, such as "Curl-Noise" as suggested by Robert Bridson, and "Divergence-Free Noise" due to Ivan DeWolf. These often require calculation of lattice noise gradients, which are not sometimes not readily available. A naive implementation would call a lattice noise function several times to calculate its gradient, resulting in more computation than is strictly necessary. Unlike these noises, simulation noise has a geometric rational in addition to its mathematical properties. It simulates vortices scattered in space, to produce its pleasing aesthetic.
== References ==
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