Described are a method and an apparatus for generating a forecast weather image such as a forecast weather radar image. The method uses filters to approximate viscous alignment and to thereby determine displacement fields having meaningful structure. In various embodiments a power-law energy spectrum is utilized for deformations in the displacement field through the application of a set of Gabor filters. The Gabor filters are applied in a sequential manner to gradient error images and values of modes of motions corresponding to the Gabor filters are determined. The values are used to generate the displacement field which can then be applied to an existing weather image to generate a forecast weather image.