Title :
A linear shift invariant multiscale transform
Author :
Siebert, Andreas
Author_Institution :
Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada
Abstract :
This paper presents a multiscale decomposition algorithm. Unlike standard wavelet transforms, the proposed operator is both linear and shift invariant. The central idea is to obtain shift invariance by averaging the aligned wavelet transform projections over all circular shifts of the signal. It is shown how the same transform can be obtained by a linear filter bank
Keywords :
channel bank filters; filtering theory; image representation; wavelet transforms; aligned wavelet transform projections; averaged wavelet transform; circular signal shifts; image decomposition; image retrieval; linear filter bank; linear shift invariant multiscale transform; linear shift invariant operator; multiscale decomposition algorithm; signal representation; Computer science; Cost function; Delay; Discrete wavelet transforms; Entropy; Filter bank; Image retrieval; Nonlinear filters; Signal mapping; Wavelet transforms;
Conference_Titel :
Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
0-8186-8821-1
DOI :
10.1109/ICIP.1998.727353
