Abstract: A cache memory for a texture mapping process which is applicable to a high performance three-dimensional graphics card for a personal computer, three-dimensional game machines and other fields requiring small and high performance three-dimensional graphics. In particular, in order to accelerate a texture mapping process based upon a hardware-used mipmapping process using a trilinear interpolation in a three-dimensional graphics system, there is provided a cache memory in which only textures by a moderate size of a working set are stored, and all eight texels needed to perform a trilinear interpolation only in one clock cycle are accessed to obtain a final texel value, and a method enabling a reduction in penalty due to a cache miss by, with hardware-based prediction, prefetching textures to be needed in the future.