The classification of human body motion is an integral component for the automatic interpretation of video sequences. In a first part we present an effective approach that uses mixed discrete/continuous states to couple perception with classification. A spline contour is used to track the outline of the person. We show that for a quasi-periodic human body motion, an autoregressive process (ARP)...

We propose a verified computation method for eigenvalues in region and the corresponding eigenvectors of generalized Hermitian eigenvalue problems. The proposed uses complex moments to extract eigencomponents interest from random matrix Rayleigh$\unicode{x2013}$Ritz procedure project given problem into reduced problem. moment is by contour integral approximated using numerical quadrature. split...

I prove the elliptic integral evaluation of the Bessel moment

We present an inverse method for the study of the seepage from soil channels without lining. We give integral representations of the complex potential, velocity field, stream lines, free phreatic lines, and contour of the channel by means of Levi-Civitá’s function ω. For different values of the Taylor coefficients of ω, we calculate numerically the contour of the channel, the phreatic lines, th...

The short note concerns with elasticity problems involving singular and hypersingular integrals over open surfaces, specifically cracks, with the contour propagating in time. Noting that near a smooth part of a propagating contour the state is asymptotically plane, we focus on 1D hypersingular integrals and employ complex variables. By using the theory of complex variable singular and hypersing...

Recommended by Stephen L. Clark For any n, the contour integral y cosh x ∮ C cosh zs / sinh z − sinhx n 1 dz, s2 −λ, is associated with differential equation d2y x /dx2 λ n n 1 /coshx y x 0. Explicit solutions for n 1 are obtained. For n 1, eigenvalues, eigenfunctions, spectral function, and eigenfunction expansions are explored. This differential equation which does have solution in terms of t...

which is known in the literature as Laplace's integral equation. The contour (C) and the function f(z) are supposed given and F(x) is to be found. In the case when the contour (C) consists of the positive part of the axis of reals, the solution of the equation (*■) was given by H. Poincaré t and H. Hamburger. % Each of these authors considers F(x) as a function of the real variable *. When the ...

The multiple images of lensed quasars provide evidence on the mass distribution of the lensing galaxy. The lensing invariants are constructed from the positions of the images, their parities and their uxes. They depend only on the structure of the lensing potential. The simplest is the magniication invariant, which is the sum of the signed magniications of the images. Higher order connguration ...

We report high resolution (R∼37,000) integral field spectroscopy of the central region (r<14 arcsec) of the Red Rectangle nebula surrounding HD44179. The observations focus on the λ5800Å emission feature, the bluest of the yellow/red emission bands in the Red Rectangle. We propose that the emission feature, widely believed to be a molecular emission band, is not a molecular rotation contour, bu...

Some of the most effective methods for the numerical inversion of the Laplace transform are based on the approximation of the Bromwich contour integral. The accuracy of these methods often hinges on a good choice of contour, and several such contours have been proposed in the literature. Here we analyze two recently proposed contours, namely a parabola and a hyperbola. Using a representative mo...