1. A method of filtering a font character bitmap represented as a texture map, comprising: reading a coarsely aligned region of the font character bitmap; aligning the coarsely aligned region of the font character bitmap with a font filter footprint to produce a finely aligned region of the font character bitmap; computing font samples corresponding to portions of the finely aligned region of the font character bitmap, wherein the font samples indicate a percentage of texels that are within a font character represented by the font character bitmap; filtering the font samples using a bilinear filtering engine configured to perform bilinear interpolation to produce a bilinearly filtered font sample value for the finely aligned region of the font character bitmap; and computing a font coverage value for the finely aligned region of the font character bitmap by scaling the bilinearly filtered font sample value by a normalization factor.