1. A method for de-interlacing digital images, comprising: spatial de-interlacing a digital image to obtain a spatial reconstruction; applying, to said digital image, one or more de-interlacing procedures of a temporal type to obtain one or more temporal reconstructions, at least one of said one or more de-interlacing procedures including a process of motion estimation of video signals organized in successive frames divided into macroblocks, the process comprising: a first identification phase in which, starting from a current motion vector, a best motion vector predictor is identified within a set of candidates, and a second phase of refining the best motion vector predictor thus identified; the set of candidates formed from vectors belonging to macroblocks associated with the current vector within the current frame and the preceding frame, the refining phase comprising the operation of forming a refining grid of n points centered on the central position to which a best mode vector points; and selecting from among said spatial reconstruction and said one or more temporal reconstructions, said selecting operation including the operations of applying a cost function to said spatial reconstruction and said one or more temporal reconstructions and choosing whichever of said spatial reconstruction and temporal reconstructions minimizes said cost function.