Title :
Biorthogonal wavelet vanishing moment increment technique
Author :
Kale, Mehmet Cemil ; Atac, Gizem ; Gerek, Omer Nezih
Author_Institution :
Elektrik ve Elektron. Muhendisligi Bolumu, Osmangazi Univ., Eskisehir, Turkey
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.
Keywords :
autoregressive processes; filters; wavelet transforms; Daubechies wavelet; Sweldens wavelet; autoregressive reconstruction operator; biorthogonal wavelet vanishing moment increment technique; decomposition structures; detail subspace energy reduction; filter length; subsample energy; Biological system modeling; Harmonic analysis; Image reconstruction; Wavelet analysis; Wavelet transforms; Biorthogonal wavelet design; lifting scheme; vanishing moment;
Conference_Titel :
Signal Processing and Communications Applications Conference (SIU), 2015 23th
Conference_Location :
Malatya
DOI :
10.1109/SIU.2015.7129943