In this paper, we purse a true two-dimensional transform that can capture the intrinsic geometrical structure that is key in visual information. The main challenge in exploring geometry In Images comes from the discrete nature of the data. We construc...
In this paper, we purse a true two-dimensional transform that can capture the intrinsic geometrical structure that is key in visual information. The main challenge in exploring geometry In Images comes from the discrete nature of the data. We construct a discrete-domain multiresolution and multidirection expansion using nonseparable filter banks, in much the same way that waveleta were derived from filter banks. This construction results in a flexible multiresolution, local, and directional image expansion using contour segments, and thus, it is named the contour let transform. We establish a precise Iink between the developed fiIter bank and the associated cont i nuous-doamin contourlet expansion via a directional multiresolution analysis framework.