Wavelet packets have been the focus of active research for twenty years, both in theory and applications. In this work, the notion of orthogonal nonseparable five-variantl wavelet packets is introduced. A new approach for de-signing them is presented by iteration method. We proved that the fivevariant wavelet packets are of the orthogonality trait. We give three orthogonality formulas regarding...

In this note, we announce a general method for the construction of nonseparable orthogonal wavelet bases of L2(Rn), where n ≥ 2. Hence, we prove the existence of such type of wavelet bases for any integer n ≥ 2. Moreover, we show that this construction method can be extended to the construction of n-D multiwavelet matrix filters.

In this work, a sort of binary wavelet packages with multi-scale are introduced, which are generalizations of multivariant wavelet packages. Finitely Supported wavelet bases for Sobolev spaces is researched. Steming from a pair of finitely supported refinale functions with multi-scaled dilation factor in space 2 2 ( ) L R satsfying a very mild condition, we provide a novel method for designing ...

Wavelet analysis has become a developing branch of mathematics for over twenty years. In this paper, the notion of orthogonal nonseparable bivariate wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is proposed by virtue of analogy method and iteration method. Their biorthogonality traits are researched by using time-frequency analysis approach and variable sepa...

Wavelet analysis has become a developing branch of mathematics for over twenty years. In this paper, the notion of orthogonal nonseparable bivariate wavelet packs, which is the generalization of orthogonal univariate wavelet packs, is proposed by virtue of analogy method and iteration method. Their biorthogonality traits are researched by using time-frequency analysis approach and variable sepa...

TRANSFORMS FOR IMAGE COMPRESSION R. Andrews D.T. Nguyen Department of Electrical Engineering and Computer Science University of Tasmania Churchill Ave. Sandy Bay 7005 AUSTRALIA Abstract { It has been demonstrated that wavelets compete well against DCT based image compression techniques [1]. However the advantages of nonseparable wavelet transforms for image and video coding have not yet been ad...

Directional information is an important and unique feature of multidimensional signals. As a result of a separable extension from one-dimensional (1-D) bases, the multidimensional wavelet transform has very limited directionality. Furthermore, different directions are mixed in certain wavelet subbands. In this paper, we propose a new transform that fixes this frequency mixing problem by using a...