The disclosed embodiments provide systems and methods for reducing anti-aliasing in a procedural texture. One method includes creating a procedural reduction map describing the texture as applied to an object, and querying the map for radiance of a pixel in the object. One system includes memory and a processor. The processor is programmed, by the code stored in the memory, to create a procedural reduction map describing the texture as applied to an object, and query the map for radiance of a pixel in the object. One system includes means for creating a procedural reduction map describing the texture as applied to an object, and means for querying the map for radiance of a pixel in the object. The map includes a basis functions and a hierarchy of texels. Each texel includes basis weights and a surface normal distribution. Each basis weight corresponds to one of the basis functions.