“…The Riesz transform is also the way to construct the monogenic signal in several dimensions, which is the natural extension of the one dimensional analytic signal [9,7,8]. The monogenic signal, as well as the Riesz transform, have many applications in image processing or computer vision, like the demodulation of 2D fringe patterns [11], the extraction of local features in 2D signals [23,16,21,10,4], the demodulation of holograms [17], or the analysis of color images [19].…”