PURPOSE Our goals were to assess image quality of time-resolved contrast-enhanced MR angiography (CE MRA), by using 3D data acquisition along with a parallel imaging technique that can improve temporal resolution and to compare this technique with 3D-time-of-flight (TOF) MRA in the postoperative assessment of extracranial (EC)-intracranial (IC) bypass surgery. METHODS On a 1.5T imaging system...

Weaving frames in separable Hilbert spaces have been recently introduced by Bemrose et al. to deal with some problems distributed signal processing and wireless sensor networks. In this paper, we study the notion of excess for woven prove that any two a space are same excess. We also show every frame large class duals is provided its redundant elements small enough norm. Also, try transfer prop...

Abstract In this article, we present the Laguerre wavelet exact Parseval frame method (LWPM) for two-dimensional flow of a rotating micropolar fluid in porous channel with huge mass transfer. This is governed by highly nonlinear coupled partial differential equations (PDEs) are reduced to ordinary (ODEs) using Berman's similarity transformation before being solved numerically method. We also co...

Multiwavelets are a new addition to the body of wavelet theory. Realizable as matrix-valued filterbanks leading to wavelet bases, multiwavelets offer simultaneous orthogonality, symmetry, and short support, which is not possible with scalar two-channel wavelet systems. After reviewing this theory, we examine the use of multiwavelets in a filterbank setting for discrete-time signal and image pro...

Abstract In recent years the concept of multiresolution-based adaptive discontinuous Galerkin (DG) schemes for hyperbolic conservation laws has been developed. The key idea is to perform a multiresolution analysis DG solution using multiwavelets defined on hierarchy nested grids. Typically this applied dyadic grid hierarchies where explicit construction be performed only one reference element. ...

Introduction: The reconstruction of images from highly undersampled data, especially for the reconstruction of high frame rate MR Angiography images, has recently become a topic of great interest. Many methods which exploit both the sparse nature of angiographic images as well as the relatively mild undersampling artifacts of the radial trajectory have been introduced, including compressed sens...

Yang Shouzhi, Lou Zengjian Department of Mathematics, Shantou University, Shantou 515063, P.R.China Abstract A algorithm is presented for constructing orthogonal multiscaling functions and multiwavelets with multiplicity r+s(s ≥ 1, s ∈ Z) in terms of any given orthogonal multiscaling functions with multiplicity r. That is, let Φ(x) = [φ1(x), φ2(x), · · · , φr(x)] be an orthogonal multiscaling f...

The goal is to extend Gleason’s notion of a frame function, which essential in his fundamental theorem quantum measurement, more general function acting on 1-tight, so-called, Parseval frames. We refer these functions as Gleason for reason our generalization that positive operator-valued measures (POVMs) are essentially equivalent frames and POVMs arise naturally measurement theory. prove under...

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...

In the present paper, the authors introduce identities for the L2-transform which yield a Parseval type relationship for the L2-transform. The Parseval type relationship proven in this paper give rise to useful corollaries for evaluating indefinite integrals of special functions. Some examples are also given as illustrations of the results presented here. ! 2007 Elsevier Inc. All rights reserved.