The invention provides methods for global motion estimation, determining a coarse estimation, and refining a coarse estimation. Embodiments of the invention provide a fast and robust global motion estimation algorithm based on two-stage coarse-to-fine refinement strategy, which is capable of measuring large motions. An embodiment of the invention may be applied as a modification of any standard, e.g. MPEG-4 that uses the affine model of motion estimation. Embodiments of the invention may be used in the six parameter affine motion model, and other embodiments of the invention are applicable to the two parameter translation model, the four parameter RST model, and the eight parameter projective model. In a preferred embodiment, a coarse estimation is developed in a translation invariant domain, and then is refined in the spatial domain.