Biorthogonal Wavelet Vanishing Moment Increment Technique

Abstract

Among several lifting style biorthogonal wavelets, Daubechies and Sweldens wavelets provide the maximum number of vanishing moments for the shortest filter length. In this research we propose a method to increase the number of vanishing moments at the expense of incorporating an autoregressive reconstruction operator. Each additional vanishing moment increases tha analysis filter sizes by one. Ten test images are used to test the developed decomposition structures according to subsample energies. It is observed that decompositions with increased vanishing moments significantly reduces detail subspace energies.