An introduction to wavelets
Multirate systems and filter banks
Multirate systems and filter banks
Fractal functions and wavelet expansions based on several scaling functions
Journal of Approximation Theory
A study of orthonormal multi-wavelets
Applied Numerical Mathematics - Special issue on selected keynote papers presented at 14th IMACS World Congress, Atlanta, NJ, July 1994
Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets
SIAM Journal on Mathematical Analysis
Construction of multiscaling functions with approximation and symmetry
SIAM Journal on Mathematical Analysis
A new prefilter design for discrete multiwavelet transforms
IEEE Transactions on Signal Processing
Design of prefilters for discrete multiwavelet transforms
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Interpolating multiwavelet bases and the sampling theorem
IEEE Transactions on Signal Processing
Adaptive multiwavelet initialization
IEEE Transactions on Signal Processing
On the design of multifilter banks and orthonormal multiwaveletbases
IEEE Transactions on Signal Processing
The application of multiwavelet filterbanks to image processing
IEEE Transactions on Image Processing
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We present a study on applications of multiwavelet analysis to image compression, where filter coefficients form matrices. As a multiwavelet filter bank has multiple channels of inputs, we investigate the data initialization problem by considering prefilters and postfilters that may give more efficient representations of the decomposed data. The interpolation postfilter and prefilter are formulated, which are capable to provide a better approximate image at each coarser resolution level. A design process is given to obtain both filters having compact supports, if exist. Image compression performances of some multiwavelet systems are studied in comparison to those of single wavelet systems.