The mathematical description of physical systems makes often use of the Hamiltonian formalism, which from its original application to derive the so-called Hamilton’s equations of motion in classical mechanics quickly spread on many other physical phenomena, ranging from statistical physics to quantum mechanics [1]. Although the Hamiltonian formulation of a problem of mathematical physics in gen...

A robust and precise eye localization method plays a critical role in automatic face recognition system. In this paper, a novel eye localization approach using Log-Gabor transform and integral image is proposed. This method mainly involves three steps: firstly, we adopt the Log-Gabor transform with certain scale and orientation to locate the approximate eye-and-brow region. Secondly, in order t...

In this paper, we propose a new and efficient method that is applicable for the computation of the Fourier transform of a function which may possess a singular point or slowly converge at infinity. The proposed method is based on a generalization of the method of the double exponential (DE) formula; the DE formula is a powerful numerical quadrature proposed by H. Takahasi and M. Mori in 1974 [1...

All methods presented in textbooks for computing inverse -transforms of rational functions have some limitation: 1) the direct division method does not, in general, provide enough information to derive an analytical expression for the time-domain sequence whose -transform is ; 2) computation using the inversion integral method becomes labored when has poles at the origin of the complex plane; 3...