1. A computer-implemented method of reducing a number of texture samples used for anisotropic texture map filtering, the method comprising: receiving a logratio value based on a logarithm of a minor axis of an elliptical representation of a pixel in texture space and a logarithm of a major axis of the elliptical representation; modifying the logratio value by applying a bias to produce a first-modified logratio value; determining a first number of texture samples based on the first-modified logratio value; reading the first number of texture samples from a first texture map stored in a memory; computing a filtered texture value based on the first number of texture samples; and applying the filtered texture value to a pixel in a display image.