The invention pertains to a computer-implemented method for compensating motion for a digital holographic video stream, the method comprising: obtaining (1010) a sequence of frames representing consecutive holographic images of a scenery; obtaining (1020) translation and rotation vectors describing a relative motion of at least one object in said scenery between a pair of frames from among said sequence of frames; and applying (1030) an affine canonical transform to a first frame of said pair of frames so as to obtain a predicted frame, said affine canonical transform representing said translation and rotation vectors. The invention also pertains to a computer program product and to an apparatus for compensating motion for a digital holographic video stream.