A method for the motion-vector-based conversion of a first video signal which contains a first image sequence at a first frequency to a second video signal which contains a second image sequence at a second frequency, where at least some of the images of the second image sequence which are phase-shifted relative to the images of the first image sequence are generated by an interpolation of the images of the first image sequence such that, for a pixel of an image from the second image sequence, pixels at least from one first image and from one second image of the first image sequence are filtered by a median filter, where the median filter is an adaptively weighted median filter.