This paper presents an evaluation of different types and families of multiwavelets in stereo correspondence matching. First, the paper introduces two hierarchical stereo matching techniques based on balanced and respectively unbalanced multiwavelet transforms, which employ normalized cross correlation to search for disparities. Different multiwavelet families, with different properties and filt...

This work presents a framework for wavelet-based representation of a given deterministic signal. We propose a method for matched wavelet based representation of the signal. Our method requires a signalconditioning step at each stage of the wavelet decomposition. The wavelet system designed in this work is biorthogonal. Both the signal-conditioning step and the wavelet system depend on the given...

It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system. Introduction. We will say a closed convex set C in a...

We present a new family of compactly supported and symmetric biorthogonal wavelet systems. Each refinement mask in this family has tension parameter ω. When ω = 0, it becomes the minimal length biorthogonal Coifman wavelet system [17]. Choosing ω away from zero, we can get better smoothness of the refinable functions at the expense of slightly larger support. Though the construction of the new ...

0164-1212/$ see front matter Crown Copyright 2 doi:10.1016/j.jss.2010.03.006 * Corresponding author. Address: School of Electron Electronic Science and Technology of China, Chengdu E-mail address: [email protected] (H. Peng). A novel image watermarking method in multiwavelet domain based on support vector machines (SVMs) is proposed in this paper. The special frequency band and property of image in ...

Vector wavelet transforms for vector-valued fields can be implemented directly from multiwavelets; however, existing multiwavelets offer surprisingly poor performance for transforms in vector-valued signal-processing applications. In this paper, the reason for this performance failure is identified, and a remedy is proposed. A multiwavelet design criterion, omnidirectional balancing, is introdu...

We demonstrate the advantages of using multi-reolution analysis with multiwavelet basis with the Discontinuous Galerkin (DG) method. This provides significant enhancements to the standard DG methods. To illustrate the important gains of using the Multiwavelet DG method we apply it to conservation and convection diffusion problems in multiple dimensions. The significant benefits of merging DG me...

We improve Wang's characterization for a pair of biorthogonal wavelets to be associated with biorthogonal multiresolution analyses (MRA's). We show that one of the two conditions in his characterization is redundant, and, along the way, show that for a pair of biorthogonal wavelets to be associated with biorthogonal MRA's it is necessary and suÆcient that one of the wavelets is associated with ...

The orthonormal basis generated by a wavelet of L(R) has poor frequency localization. To overcome this disadvantage Coifman, Meyer, and Wickerhauser constructed wavelet packets. We extend this concept to the higher dimensions where we consider arbitrary dilation matrices. The resulting basis of L(R) is called the multiwavelet packet basis. The concept of wavelet frame packet is also generalized...

A Legendre multiwavelet based method is developed in this paper to solve second kind hypersingular integral equation by converting it into a Cauchy singular integro-differential equation. Multiscale representation of the singular and differential operators is obtained by employing Legendre multiwavelet basis. An estimate of the error of the approximate solution of the integral equation is obtai...