we construct a discrete-domain multiresolution and multidirection expansion using nonseparable filter banks, in much the same way that wavelets were derived from filter banks. This construction results in a flexible multiresolution, local, and direc
The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that
We have compared two existing routines for the computation of the fast approximate fractional FouriertransformandoneroutineforthediscretefractionalFouriertransform.Westudiedindetail the dierent steps of the implementation and propose our own impleme
