Title :
A new framework of M-channels lifting wavelet filter in image processing
Author_Institution :
Dept. of Appl. Math., Xi´´an Univ. of Posts & Telecommun., Xi´´an, China
Abstract :
Lifting scheme which is commended by JPEG 2000 is not only a fast algorithm of existing wavelet transforms, but also a tool to produce new wavelet transforms. For M-channels (M >; 2) wavelet transform, the poly-phase matrix can be factored into finite matrixes, and these matrixes can be regarded as the predict operators and update operators. According to the characteristic of the lifting scheme and M-channels (M >; 2) wavelet transform, the framework of the M-channels wavelet filters based on the lifting scheme are given in this paper. Any filters based on the lifting scheme are automatically satisfied with the exact reconstruction condition, the constructed predict filters are satisfied with N degree dual vanishing moments and the constructed update filters are satisfied with corresponding degree basal vanishing moments. And the simulation experiment is indicated that it is feasible in Image Processing.
Keywords :
filtering theory; image processing; mathematical operators; matrix algebra; wavelet transforms; JPEG 2000; M-channel wavelet transform; M-channels wavelet filter; dual vanishing moment; finite matrix; poly-phase matrix; Band pass filters; Filtering theory; Finite impulse response filter; Interpolation; Low pass filters; Wavelet transforms; M-channels wavelet transform; image processing; lifting scheme; lifting wavelet filters;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952650
