Global Integral Invariant Features have shown to be useful for robot localization in indoor environments. In this paper, we present a method that uses integral invariants for outdoor environments. To make the integral invariant features more distinctive for outdoor images, we split the image into a grid of subimages and calculate integral invariants for each grid cell individually. We then conc...

In this paper we formulate the Radon transform as a wnvolution integral over the Euclidean motion group (SE(2)) and provideaminimummean square error(MMSE) stochastic deconvolution method for the Radon transform inversion. Proposed approach provides a fundamentally new formulation that can model nonstationary signal and noise fields. Key components of our development are the Fourier transform ov...

The primary purpose of this research is to demonstrate an efficient replacement double transform called the Laplace–Sumudu (DLST) and prove some related theorems new transform. Also, we will discuss fundamental properties basic functions. Then, by utilizing those outcomes, apply it partial differential equations show its simplicity, efficiency, high accuracy.

This paper solved the problem of the scattering of radiation from a material half-space by the transient spectral domain method. The transient spectral domain method is a general theoretical approach for the exact solution to the time-dependent source radiation in the presence of media. It is located in the air region in the vicinity of lossy half-space. The apply of the integral transform to t...

In this paper we describe two numerical methods by which the relaxation modulus and memory function of a polymer can be determined from a set of discrete linear viscoelastic storage and loss moduli measurements. The first method involves expressing the linear viscoelastic data by means of a rational function (with certain constraints) and then taking the Laplace transform of that function. The ...

A new numerical method called high accuracy time and space transform method (TSTM) is introduced to solve the advection–diffusion equation in an unbounded domain. By a spatial transform, the advection– diffusion equation in the unbounded domain Rn is converted to one on the bounded domain [−1,1]n , and the Laplace transform is applied to eliminate time dependency. The consequent boundary value ...

This paper introduces a fast high-resolution imaging algorithm designed for ultra-wideband radar, and combines modified Kirchhoff migration and frequency-wavenumber (F-K) migration. The proposed algorithm also uses the texture method and inverse boundary scattering transform to calculate efficiently the integral arising in modified Kirchhoff migration, and thus enabling the integral in the F-K ...

The main goal of this research is to present a new approach double transforms called the Laplace–ARA transform (DL-ARAT). This novel combination Laplace and ARA transforms. We basic properties including existence, linearity some results related partial derivatives convolution theorem. To obtain exact solutions, applied several differential equations such as Klein–Gordon equation, heat wave equa...

We study the applicability of Pade Approximants (PA) to estimate a ”sum” of asymptotic series of the type appearing in QCD. We indicate that one should not expect PA to converge for positive values of the coupling constant and propose to use PA for the Borel transform of the series. If the latter has poles on the positive semiaxis, the Borel integral does not exist, but we point out that the Ca...