We propose general static block and block-cyclic heterogeneous decomposition of multidimensional data over processes of parallel program mapped onto multidimensional process grid. The decomposition is compared with decomposition of two-dimensional data over twodimensional process grid of Beaumont et al and with natural decomposition of three-dimensional data over three-dimensional process grid.

Self-assembly is a powerful paradigm, wherein molecules spontaneously form ordered phases exhibiting well-defined nanoscale periodicity and shapes. However, the inherent energy-minimization aspect of self-assembly yields a very limited set of morphologies, such as lamellae or hexagonally packed cylinders. Here, we show how soft self-assembling materials-block copolymer thin films-can be manipul...

Two-dimensional (2-D) block processing technique for linear filtering of digital images is introduced. New 2-D block structures are derived for 2-D recursive digital filters realized by difference equations and state-space formulations. Several special cases have also been considered and the relevant 2-D block structures are given. The computational costs of different implementation techniques ...

The conventional LMS scheme was first extended to the 2-D case by Hadhoud and Thomas [7]. Their 2-D LMS algorithm is particularly useful in various image processing areas such as image enhancement and image data compression where the variations in local statistics of the image must be taken into account. This method processes an image pixel by pixel using a I-D scanning scheme, and consequently...

The main contribution of this paper is a new iterated secretkey block cipher called 3D, inspired by the AES cipher. The 3D cipher has an SPN design, operates on 512-bit blocks, uses 512-bit keys, iterates 22 rounds, and employs a 3-dimensional state, instead of the 2dimensional matrix of the AES. The main innovation of 3D includes the multi-dimensional state, generalizing the design of Rijndael...

For two-dimensional (2-D) digital filters implemented by a block recursive equation, explicit relations between their frequency characteristics and those of scalar filter are obtained. Specifically, these include the relation between the discrete-time Fourier transform (DTFT) of the block recursive equation and that of the scalar 2-D difference equation, and the relation between the block matri...

The main purpose of this study is to provide a method to increase energy dissipation on an inclined drop. Therefore, three types of rough elements with cylindrical, triangular and bat-shaped geometries are used on the inclined slope in the relative critical depth range of 0.128 to 0.36 and the effect of the geometry of these elements is examined using Flow 3D software. The results showed demons...

Maximum margin criterion (MMC) is a well-known method for feature extraction and dimensionality reduction. However, MMC is based on vector data and fails to exploit local characteristics of image data. In this paper, we propose a two-dimensional generalized framework based on a block-wise approach for MMC, to deal with matrix representation data, that is, images. The proposed method, namely, bl...

The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as block complexes. The paper contains definitions and a theorem necessary to transfer some basic knowledge of the classical topology to finite topological spaces. The method is based on subdividing the given set into blocks of cells in such a w...