A dynamic two dimensional problem of thermoelasticity with double porous structure has been considered to investigate the disturbance due to normal force and thermal source. Laplace and Fourier transform technique is applied to the governing equations to solve the problem. The transformed components of stress and temperature distribution are obtained .The resulting expressions are obtained in t...

T he Hough transform is a useful technique in the detection of straight lines and curves in an image. Due to the mathematical similarity of the Hough transform and the forward Radon transform, the Hough transform can be computed using the Radon transform which, in turn, can be evaluated using the central slice theorem. This involves a two-dimensional Fourier transform, an x-y to rmapping and a ...

In this paper we present an algorithm for the fast Fourier transform on the rotation group SO(3) which is based on the fast Fourier transform for nonequispaced nodes on the three-dimensional torus. This algorithm allows to evaluate the SO(3) Fourier transform of B-band-limited functions at M arbitrary input nodes in O(M +B3 logB) flops instead of O(MB3). Some numerical results will be presented...

A novel method for the design of two-dimensional (2-D) and three-dimensional (3-D) arrays with frequency invariant beam patterns is proposed. By suitable substitutions, the beam pattern of a 2-D or 3-D arrays can be regarded as the 3-D or 4-D Fourier transform of its spatial and temporal parameters. Since frequency invariance can be easily imposed in the Fourier domain, a simple design method i...

In quantum mechanics, the Fourier Transform commonly converts from position space to momentum. For finite dimensional Hilbert spaces, the analog is the discrete (or quantum) Fourier transform, which has many applications in quantum information theory. We explore applications of this discrete Fourier transform to the elementary particle generations, and then present a related and elegant new par...