Title :
Uniqueness issue of wavelet transform modulus maxima representation and a least squares reconstruction algorithm
Author :
Liew, A. ; Nguyen, Duy T.
Author_Institution :
Dept. of Electr. & Electron. Eng., Tasmania Univ., Hobart, Tas.
fDate :
9/28/1995 12:00:00 AM
Abstract :
The authors show that the problem of uniqueness of the wavelet transform modulus maxima representation is related to the completeness of the wavelet basis set; i.e. it must be a frame of the function space of interest. The authors present a least squares reconstruction method that is optimum with respect to the basis set
Keywords :
adaptive signal processing; image reconstruction; image representation; image sampling; least squares approximations; wavelet transforms; image processing; least squares reconstruction algorithm; modulus maxima representation; wavelet basis set; wavelet transform;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19951205