An SVD Based Transform for Critical Representation of Laplacian Pyramids

Recently the Laplacian pyramid (LP) has come to prominence as a tool for obtaining spatial scalability in the context of scalable image and video compression. In this paper, we present a critical representation scheme for the LP. The representation is obtained by transforming the detail signals to lower dimensional representations. Unlike the wavelet transform, the proposed transform depends on the decimation and the interpolation filters used for the classical LP. Simulation results suggest that higher compression ratios can be achieved with the critical representation than with the standard LP with usual or frame based reconstructions.