In encoding a sequence of frames, a linear transform, such as, for example a wavelet transform, is applied to the sequences of frames on a frame-by-frame basis. At least one portion of a linearly transformed frame thus obtained is encoded in the inter mode on the basis of a differential representation of the linearly transformed frame. The differential representation corresponds with a difference between, on the one hand, the portion of the linearly transformed frame and, on the other hand, a representation of a corresponding portion of at least one other linearly transformed frame. Data compression is then applied to the differential representation of the portion of the linearly transformed frame.