The paper presents a novel method for reconstruction of missing data in time series. The method is based on the decomposition of known parts of time series into monocomponents (Intrinsic Mode Functions, IMF) using Empirical Mode Decomposition (EMD), construction of prediction models for each IMF using known parts of times series and their composition using weighted average. We demonstrate the e...

Accuracy and efficiency are two important issues in designing content-based image retrieval system. In this paper we present an approach on a wavelet transform called tree-structured transform or wavelet packets for texture analysis. A simple texture classification algorithm having excellent performance for dominant channels decomposition tree structured is proposed here. The performance of our...

In this paper, we propose the application of standard decomposition approaches to find local correlations in multimodal data. In a test scenario, we apply these methods to correlate the local shape of turbine blades with their associated aerodynamic flow fields. We compare several decomposition algorithms, i.e., k-Means, Principal Component Analysis, Non-negative Matrix Factorization and Uni-or...

This paper deals with the Helmholtz-Hodge decomposition of a vector field in bounded domain. We present a practical algorithm to compute this decomposition in the context of divergence-free and curl-free wavelets satisfying suitable boundary conditions. The method requires the inversion of divergence-free and curl-free wavelet Gram matrices. We propose an optimal preconditioning which allows to...

Abstract—In this paper Algebraic Riccati matrix equation is used for Eigen-decomposition of special structured matrices. This is achieved by similarity transformation and then using algebraic riccati matrix equation to triangulation of matrices. The process is decomposition of matrices into small and specially structured submatrices with low dimensions for fast and easy finding of Eigenpairs. N...

In this paper, the local fractional Laplace decomposition method is implemented to obtain approximate analytical solution of the telegraph and Laplace equations on Cantor sets. This method is a combination of the Yang-Laplace transform and the Adomian decomposition method. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to ...

We report a domain decomposition molecular dynamics (MD) for simulation on metallic systems based on distributed parallel computers. The method is a development of a spatial decomposition in 3-D space with the combination of link-cell and neighbor list techniques for enhanced efficiency. The algorithm has been successfully implemented on the Origin2000, Wolf, HP Examplar etc. various platforms....

Crosslinked functionalized polymers are highly efficient in immobilizing transition metal ions. The activity of Fe(III), Co(II), Ni(II) and Cu(II) complexes of polystyrene bound Isoxazole resin have been tested towards the decomposition of hydrogen peroxide. The decomposition reaction followed a first order dependence on the concentration of both the substrates and the catalyst. The metal compl...

This paper is concerned with the implementation of oriented Gaussiantype filters with several possible decomposition schemes, including the steerable approach and the wavelet transform. A novel spatial decomposition scheme is introduced, in which the filters are projected onto a set of Gaussian basis functions which are not dependent on the orientation of the filters. This scheme only costs a f...

In this paper, Laplace Decomposition Method (LDM) which is coupling of Laplace Transform (LT) and Adomian’s Decomposition Method (ADM) is employed to construct the exact solution of two mathematical problems which arises in diverse fields of physics. It has been observed that this proposed coupling is very efficient and reliable for the solution of the nonlinear problems. Numerical results and ...