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Sharing everything I could understand about gradient noise
You've most likely heard about gradient noise through the name Perlin noise, which refers to one particular implementation with various CPU optimizations. Because it's an incredible tool for creative work, it's used virtually everywhere: visual effects, video games, procedural mathematical art, etc.
In order to gain a deeper and more meaningful understanding we will start studying the 1D version (a case often omitted in the literature), then slowly climb our way up in dimensions and complexity. This article is the result of weeks of studying and experimenting with the maths from Inigo Quilez's incredible pages and other scattered resources over the Internet. On the GPU, most people rely on various floating point hacks or sub-optimal bit tricks, which often fall short when exploring the full 32-bit range of inputs.
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