1. A method for synthesizing anisometric texture comprising: using a general-purpose computing device having a processor to perform the following: inputting a Jacobian field at a pixel and a synthesized pixel coordinate image at a previous resolution level; selecting a direction to examine; defining a synthesis-space inverse-Jacobian-transformed neighbor offset vector using an exemplar-space neighbor offset and an inverse Jacobian at the pixel; normalizing the synthesis-space inverse-Jacobian-transformed neighbor offset vector to have a length of one; determining which of eight immediate neighbors of the pixel to access based on the normalized synthesis-space inverse-Jacobian-transformed neighbor offset vector; accessing one of the eight immediate pixel neighbors that is closest in the selected direction to the pixel being processed from the synthesized pixel coordinate image at the previous resolution level, where the synthesized pixel coordinate image does not directly contain pixel colors but instead contains pixel coordinates where the pixel colors are fetched in an exemplar texture; and warping pixel coordinates of the immediate pixel neighbors using the Jacobian field at the pixel to form an anisometrically warped synthesized texture neighborhood that is used to synthesize the anisometric texture.