An approach to resampling incorporates geometric transformation into the resampling process. A specification of a geometric transformation is accepted for application to the first image to produce a second image. A two-dimensional filter for application to the first image is then determined using the specification of the geometric transformation. Data characterizing relationships between pixel locations in the second image and pixel locations in the first image is computed. Pixel values of a second image are then computed by applying the two-dimensional filter to the first image, including for each of a plurality of pixels locations of the second image, computing a value for the second image at said pixel location by applying the second filter according to the data characterizing the relationships between pixel locations. The approach can be performed in two phases, with the computing of the data characterizing the relationships between the pixel locations being completed prior to the computing of the pixel values of the second image.