1. A computer-implemented method for generating a portion of an image, the method comprising using a computer to perform the following actions, obtaining n differential representations of an image texture, with n>1; modifying the n differential representations by weighting each differential representation using a corresponding coefficient, with a sum of squares of the coefficients equal to a value of approximately one; combining the n modified differential representations to produce a combined differential representation; and integrating the combined differential representation to obtain a modified texture region.