Ten lectures on wavelets
Stability and orthonormality of multivariate refinable functions
SIAM Journal on Mathematical Analysis
Smooth refinable functions provide good approximation orders
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
Estimating the Joint Spectral Radius of a Nonseparable Multiwavelet
SCCC '03 Proceedings of the XXIII International Conference of the Chilean Computer Science Society
Construction of nonseparable multiwavelets for nonlinear image compression
EURASIP Journal on Applied Signal Processing
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Dilation matrices for nonseparable bidimensional wavelets
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Balanced multiwavelets theory and design
IEEE Transactions on Signal Processing
The application of multiwavelet filterbanks to image processing
IEEE Transactions on Image Processing
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To construct a very smooth nonseparable multiscaling function, we impose polynomial approximation order 2 and add new conditions on the polyphase highpass filters. We work with a dilation matrix generating quincunx lattices, and fix the index set. Other imposed conditions are orthogonal filter bank and balancing. We construct a smooth, compactly supported multiscaling function and multiwavelet, and test the system on a noisy image with good results.