1. A method, comprising: receiving an image; generating an infinite resolution texture (IRT) acceleration data structure associated with the image, wherein the IRT acceleration data structure includes a texture map, a curve index map, and a curve data map; and storing the IRT acceleration data structure in a memory, wherein the texture map includes a two-dimensional array of texels, each texel encoding a color value based on the image, wherein the curve data map encodes parameters for at least one curve segment associated with the image, and wherein the curve index map associates each texel in the texture map with zero or more curve segments corresponding with the texel.