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Antialiasing is expensive due to the additional computation required to compute an average color. Mipmapping saves some expense by precalculating some average colors (Williams, 1983). The mipmap algorithm first creates several versions of the texture. Beginning with the original texture the mipmap algorithm computes a new texture thatís one fourth the size. In the new, smaller texture map, each pixel contains the average of four pixels from the original texture. The process of creating smaller images continues until we get a texture map containing one pixel. That one pixel contains the average color of the original texture map in its entirety.

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