We discuss preconditioning and overlapping of waveform relaxation methods for sparse linear diierential systems. It is demonstrated that these techniques signiicantly improve the speed of convergence of the waveform relaxation iterations resulting from application of various modes of block Gauss-Jacobi and block Gauss-Seidel methods to diierential systems. Numerical results are presented for li...

A fast algorithm for computing the two-dimensional (2-D) forward and inverse modified discrete cosine transform (MDCT and IMDCT) is proposed. The algorithm converts the 2-D MDCT and IMDCT with block size M×N into four 2-D discrete cosine transforms (DCTs) with block size (M/4)×(N/4). It is based on an algorithm recently presented by Cho [7] for the efficient calculation of one-dimensional MDCT ...

In neurosurgery, localisation of deep brain structures is a crucial issue, which can be assisted by a 3-dimensional brain atlases. Our goal is to build such an atlas by fusing histological data with a 3D MR image of the same subject. This requires two steps: first a 2D realignment of the histological sections in order to obtain a three-dimensional block, then a 3D registration between this reco...

In image based rendering (IBR), a 3D scene is recorded through a set of photos, and a novel view is rendered by assembling data from the photo set. Compression is essential to reduce the huge data amount of IBR. In this paper, we examine three categories of IBR compression algorithms: the block coder, the reference coder and the high dimensional transform (wavelet) coder. It is observed that th...

We report on the growth mechanism of YBa2Cu3O7−x. Our study is based on the analysis of ultrathin, YBa2Cu3O7−x layers in c-axis oriented YBa2Cu3O7−x / PrBa2Cu3O7 superlattices. We have found that the release of epitaxial strain in very thin YBCO layers triggers a change in the dimensionality of the growth mode. Ultrathin, epitaxially strained, YBCO layers with thickness below 3 unit cells grow ...

This paper provides the duality structure of the optimal two-block H∞ problem. The dual description leads naturally to a numerical solution based on convex programming for LTI (including infinite dimensional) systems. Alignment conditions are obtained and show that the optimal solution is flat in general, and unique in the SISO case. It is also proved that under specific conditions a well-known...

In this paper, we propose an iterative procedure based on two dimensionalfuzzy block-pulse functions for solving nonlinear fuzzy Fredholm integralequations of the second kind. The error estimation and numerical stabilityof the proposed method are given in terms of supplementary Lipschitz condition.Finally, illustrative examples are included in order to demonstrate the accuracyand convergence of...

Sudoku puzzles are now popular among people in many countries across the world with simple constraints that no repeated digits in each row, each column, or each block. In this paper, we demonstrate that the Sudoku configuration provides us a new alternative way of matrix element representation by using block-grid pair besides the conventional row-column pair. Moreover, we discover six more matr...

In this correspondence it is shown how the elements of finite fields when mapped on the surface of a torus can be used for block coding over a three-dimensional signal space. The block codes are useful for data transmission using the recently defined Mannheim distance.