When a multidimensional index is used for similar sequence matching, the traditional approach is to transform high-dimensional window sequences to low-dimensional sequences and bounding them into a low-dimensional minimum bounding rectangle (MBR). In this paper, we propose a new approach which constructs a low-dimensional MBR by directly transforming a high-dimensional MBR (calledMBR-transforma...

in this research work, the frequency domain (fd) of surface geochemical data was analyzed to decompose the complex geochemical patterns related to different depths of the mineral deposit. in order to predict the variation in mineralization in the depth and identify the deep geochemical anomalies and blind mineralization using the surface geochemical data for the dalli cu-au porphyry deposit, a ...

The present work solves two-dimensional Advection-Dispersion Equation (ADE) in a semi-infinite domain. A variable source concentration is regarded as the monotonic decreasing function at the source boundary (x=0). Depth-dependent variables are considered to incorporate real life situations in this modeling study, with zero flux condition assumed to occur at the exit boundary of the domain, i.e....

A new technique of forming twoor three-dimensional images of a macroscopic sample by means of NMR is described. It is based on the application of a sequence of pulsed magnetic field gradients during a series of free induction decays. The image formation can be achieved by a straightforward twoor three-dimensional Fourier transformation. The method has the advantage of high sensitivity combined ...

INTRODUCTION SUMMARY We present an exact and analytical expression for the Fourier transform of a function that has been sampled logarithmically. The procedure is significantly more efficient computationally than the fast Fourier transformation (FFT) for transforming functions or measured responses which decay slowly with increasing abscissa value. We illustrate the proposed method with an exam...

This paper presents a morphing model of vector geographical data based on Fourier transformation. This model involves three main steps. They are conversion from vector data to Fourier series, generation of intermediate function by combination of the two Fourier series concerning a large scale and a small scale, and reverse conversion from combination function to vector data. By mirror processin...

In the present work, two-dimensional mixed problems with Caputo fractional order differential operator are studied using Fourier method of separation variables. The equation contains a linear transformation involution in second derivative. considered problem generalizes some previous formulated for fourth-order parabolic-type equations. basic properties eigenfunctions corresponding spectral pro...

in this paper, an effective numerical method is introduced for the treatment of nonlinear two-dimensional volterra-fredholm integro-differential equations. here, we use the so-called two-dimensional block-pulse functions.first, the two-dimensional block-pulse operational matrix of integration and differentiation has been presented. then, by using this matrices, the nonlinear two-dimensional vol...

in this paper, a schwarz-christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the schwarz-christoffel transformation has been developed by using mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. this method is highly accurate (fifth order...

New techniques are developed for determining spatial or geometric distortion between two images of the same scene. First, the properties of the Fourier transform of a two dimensional function under the affine transformation are given. The relations between the spatial and spectral frequency domains are shown. As a result, techniques for the estimation of the coefficients of the distortion model...