Title :
An axiomatic approach to multiresolution signal decomposition
Author :
Goutsias, John ; Heijmans, Henk J A M
Author_Institution :
Dept. of Electr. & Comput. Eng., Johns Hopkins Univ., Baltimore, MD, USA
Abstract :
We have been developing general multiresolution signal decomposition schemes that unify traditional (linear) approaches and allow use of nonlinear filtering techniques in the decomposition. This paper summarizes our approach and provides several simple examples. Some of these examples are known in the literature (e.g., Haar pyramid and wavelet) and some of them are new (e.g., morphological Haar pyramid and wavelet)
Keywords :
Haar transforms; nonlinear filters; signal resolution; wavelet transforms; Haar pyramid; axiomatic approach; morphological Haar pyramid; multiresolution signal decomposition; nonlinear filtering; wavelet; Collaborative work; Computer errors; Data mining; Filter bank; Filtering; Frequency; Image reconstruction; Nonlinear filters; Shape; Signal resolution;
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.1998.723355