Padé is a new method for learning qualitative models from observation data by computing partial derivatives from the data. Padé estimates partial derivatives of a target function from the learning data by splitting the attribute space into triangles or stars from Delaunay triangulation, or into tubes, and computing the linear interpolation or regression within these regions. Generalization is t...

Many automated processes in digital photogrammetry such as relative orientation of a stereopair of aerial images or a derivation of a digital terrain model (DTM) are based on image matching. Several approaches to image matching have been developed. In this paper, attention is paid to area based matching. Using of MATLAB in procedures of finding parameters of exterior orientation of an aerial im...

ii To my beloved parents Mr. Aswath Narayana and Mrs. Shubha, and my precious brother Aryan Rajeev. iii Acknowledgements I take this opportunity to express my profound gratitude and deep regards to my primary advisor Dr. Amlan Ganguly for his exemplary guidance, monitoring and constant encouragement throughout this thesis. Dr. Amlan dedicated his valuable time to review my work constantly and p...

The main purpose of this paper is to consider an explicit form of the Padé-type operators. To do so, we consider the representation of Padétype approximants to the Fourier series of the harmonic functions in the open disk and of the L-functions on the circle by means of integral formulas, and, then we define the corresponding Padé-type operators. We are also concerned with the properties of the...

The perturbative series used to extract α s (M τ) from the τ hadronic width exhibits slow convergence. Asymptotic Padé-approximant and Padé summation techniques provide an estimate of these unknown higher-order effects, leading to values for α s (M τ) that are about 10% smaller than current estimates. Such a reduction improves the agreement of α s (M τ) with the QCD evolution of the strong coup...

We present a fraction-free approach to the computation of matrix Padé systems. The method relies on determining a modified Schur complement for the coefficient matrices of the linear systems of equations that are associated to matrix Padé approximation problems. By using this modified Schur complement for these matrices we are able to obtain a fast hybrid fraction-free algorithm for their compu...

The aim of this paper is to introduce a new approximate method, namely the Modified Laplace Padé Decomposition Method (MLPDM) which is a combination of modified Laplace decomposition and Padé approximation to provide an analytical approximate solution to Thomas-Fermi equation. This new iteration approach provides us with a convenient way to approximate solution. A good agreement between the obt...

Rapidly developed automated data gathering techniques and methods like LIDAR (Light Detection And Ranging), GPS, integrated barymetric measurements consisted of GPS and digital sounder, are often used for obtaining observations for creation Digital Terrain Model (DTM). Methods mentioned above produce large data sets, which may cause problems for users at the stage of main processing, in which D...

It is well known that the bilinear transform, or first order diagonal Padé approximation to the matrix exponential, preserves quadratic Lyapunov functions between continuous-time and corresponding discrete-time linear time invariant (LTI) systems, regardless of the sampling time. It is also well known that this mapping preserves common quadratic Lyapunov functions between continuous-time and di...

Matrix Padé approximation is a widely used method for computing matrix functions. In this paper, we apply matrix Padé-type approximation instead of typical Padé approximation to computing the matrix exponential. In our approach the scaling and squaring method is also used to make the approximant more accurate. We present two algorithms for computing A e and for computing At e with many 0 t  re...