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Procedural content generation for games often uses tile sets. Tilings generated with tile sets are equivalent to pictures generated from a fixed alphabet of characters such as those explored in the area of vision. Formal languages over pictures and their methods of definition such as 2D regular expressions, automata, and array grammars are directly applicable to generation of tilings using finite...
In this paper, we demonstrate the use of tiling with noise to generate rich procedural textures. We introduce the idea of storing tiles which consist of only the gradients stored at the integer lattice points and constructing a texture on the GPU from these tiles. We also introduce the idea of using mipmapped tiles to store gradients for turbulence. Finally we demonstrate a novel use of mipmaps to...
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