Abstract: A computer-implemented method includes identifying a bit-mapped image of a line or polygon shape; mapping the image to a texture map that is slightly large in at least one dimension than the bit-mapped image; overlaying the bit-mapped image and the texture map; computing pixel shading for pixels between an outer edge of the bit-mapped image and the texture map by measuring a distance from particular ones of the pixels to an idealized line near an edge of the bit-mapped image; and displaying the bit-mapped image with pixels at its edge shaded according to the computed pixel shading.

Abstract: A computer-implemented method for displaying shadowing effects includes displaying, on a computing device, a visual object that has a first edge and a second edge that is different from the first edge; generating a shadow for the visual object using a first shadowing technique along the first edge; generating, along the second edge, shading for the visual object using a technique that differs from the first shadowing technique; and updating the shadow and the shading substantially simultaneously with movement of the visual object by a user of the computing device.

Abstract: A computer-implemented method includes identifying a bit-mapped image of a line or polygon shape; mapping the image to a texture map that is slightly large in at least one dimension than the bit-mapped image; overlaying the bit-mapped image and the texture map; computing pixel shading for pixels between an outer edge of the bit-mapped image and the texture map by measuring a distance from particular ones of the pixels to an idealized line near an edge of the bit-mapped image; and displaying the bit-mapped image with pixels at its edge shaded according to the computed pixel shading.