In this work we prove that any pair of homogeneous dual multiwavelet frames of L2(R) constructed from a pair of refinable function vectors gives rise to a pair of nonhomogeneous dual multiwavelet frames and vice versa. We also prove that the Mixed Oblique Extension Principle characterizes dual multiwavelet frames. Our results extend recent characterizations of affine dual frames derived from sc...

In this research, we study why prefiltering is necessary for discrete multiwavelet transforms. We propose a method to generate prefilters given a set of multiwavelet filterbanks, where they are called good prefitters.

Compactly supported Riesz wavelets are of interest in several applications such as image processing, computer graphics and numerical algorithms. In this paper, we shall investigate compactly supported MRA Riesz multiwavelet bases in L2(R). An algorithm is presented to derive Riesz multiwavelet bases from refinable function vectors. To illustrate our algorithm and results in this paper, we prese...

Multiwavelet has some important properties such as orthogonality, symmetry, and short support, which make up for the shortcoming of scalar wavelet. In this paper, we consider the problem of improving the performance of multiwavelet-based image coders combining human visual syetem (HVS). By taking into account the imperfections inherent to the HVS, HVS weighting is designed to achieve higher com...

The demountable disk-drum aero-engine rotor is an important piece of equipment that greatly impacts the safe operation of aircraft. However, assembly looseness or crack fault has led to several unscheduled breakdowns and serious accidents. Thus, condition monitoring and fault diagnosis technique are required for identifying abnormal conditions. Customized ensemble multiwavelet method for aero-e...

This paper investigates the emerging notion of multiwavelets in the context of multirate filter banks, and applies a multiwavelet system to image coding. Multiwavelets are of interest because their constituent filters can be simultaneously symmetric and orthogonal (this combination is impossible for 2-band PR-QMFs), and because one can obtain higher orders of approximation (more vanishing wavel...

This paper presents an approach for early breast cancer diagnostic by employing combination of artificial neural networks (ANN) and multiwaveletpacket based subband image decomposition. The microcalcifications correspond to high-frequency components of the image spectrum, detection of microcalcifications is achieved by decomposing the mammograms into different frequency subbands,, reconstructin...

In this work we present some results and applications concerning the recent theory of multi-scaling functions and multiwavelets. In particular, we present the theory in compact notation with the use of some types of recursive block matrices. This allows a exible schematization of the construction of semi-orthogonal multiwavelets. As in the scalar case, an eecient algorithm for the computation o...

Biorthogonal multiwavelets are generated from refinable function vectors by using multiresolution analyses. To obtain a biorthogonal multiwavelet, we need to construct a pair of primal and dual masks, from which two refinable function vectors are obtained so that a multiresolution analysis is formed to derive a biorthogonal multiwavelet. It is well known that the order of vanishing moments of a...

This article proposed an approach to construct high-order balanced M-band (M>2) orthogonal multiwavelets with symmetric property, and demonstrated the advantages of our constructed multiwavelet systems in digital elevation model (DEM) generalization application over some other wavelet systems. We studied the theories related to the key properties of M-band multiwavelets, such as orthogonality, ...