Joint adaptive space and frequency basis selection

We develop a new method for building a representation of an image from a library of basis elements that is facilitated by a joint adaptive space and frequency (JASF) graph. The JASF graph combines partitionable frequency expansion and spatial segmentation of the image, symmetrically. We demonstrate by using a rate-distortion framework for basis selection that the JASF graph improves compression performance over recent wavelet packet and double-tree methods by offering exponentially more bases in which to represent the images.