“…Among the variants of wavelet frames, we consider the SWT because of its suitable statistical properties [11], [16], [17] and the FDCT for its sensitivity to image geometry: the transform is a quasi-optimal representation for 2 di- mensional regular signals admitting some singularities like edges and contours for natural images [12], [13], [14]. The J-level SWT and FDCT representations of an image I have the following form:…”