Polyphase Filter and Polynomial Reproduction Conditions for the Construction of Smooth Bidimensional Multiwavelets
نویسنده
چکیده
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.
منابع مشابه
Theorems Relating Polynomial Approximation, Orthogonality and Balancing Conditions for the Design of Nonseparable Bidimensional Multiwavelets
We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterbank. This simplifies the design of such systems.
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