Multirate systems and filter banks
Multirate systems and filter banks
Stability and orthonormality of multivariate refinable functions
SIAM Journal on Mathematical Analysis
Construction of multiscaling functions with approximation and symmetry
SIAM Journal on Mathematical Analysis
Accuracy of lattice translates of several multidimensional refinable functions
Journal of Approximation Theory
Multirate filter banks with block sampling
IEEE Transactions on Signal Processing
Vector-valued wavelets and vector filter banks
IEEE Transactions on Signal Processing
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
Balanced multiwavelets theory and design
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
A general approach for analysis and application of discretemultiwavelet transforms
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
ACIVS'07 Proceedings of the 9th international conference on Advanced concepts for intelligent vision systems
Two-channel nonseparable wavelets statistically matched to 2-D images
Signal Processing
Dilation matrices for nonseparable bidimensional wavelets
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
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A procedure for the construction of balanced orthogonal nonseparable quincunx multiwavelets, having filters with good lowpass properties, is introduced. The matrix filter bank is viewed as the polyphase matrix of other filters, upon which the lowpass condition is imposed. The multiscaling functions obtained are plotted by means of the cascade algorithm. The process of transforming an image with these wavelets is outlined: formulae for analysis and synthesis are given, the first steps are illustrated with images, and the decomposition of the original image into two input images is addressed. Compression is achieved in a nonlinear process. Experimental results show that (i) the constructed multiwavelets having lowpass properties perform better than other nonseparable multiwavelets, (ii) the energy compaction in the fine detail subbands is greater for the multiwavelets than for the one-dimensional wavelets tried.