A new electro-optically modulated optical solid-state (MOSS) interferometer has been constructed for measurement of quantities related to the low-order spectral moments of line emission from optically thin radiant media such as plasmas. When Doppler broadening is dominant, the spectral moments give the Radon transform of corresponding moments of the velocity distribution function of the radiati...

Geometric moment invariants (GMIs) have been widely used as basic tool in shape analysis and information retrieval. Their structure and characteristics determine efficiency and effectiveness. Two fundamental building blocks or generating functions (GFs) for invariants are discovered, which are dot product and vector product of point vectors in Euclidean space. The primitive invariants (PIs) can...

Due to its aerodynamic, articulatory, and acoustic complexities, the fricative /s/ is known to require high precision in its control, and to be highly resistant to coarticulation. This study documents in detail how jaw, tongue front, tongue back, lips, and the first spectral moment covary during the production of /s/, to establish how coarticulation affects this segment. Data were obtained from...

An adaptive ltering and masking technique of three-dimensional data sets, e.g. spectral data from a radio interferometer, based on wavelets and morphological lters is presented. Applications to visualization (volume rendering) and moment analysis are discussed.

In this work, a method for the simulation of guided wave propagation in solids defined by implicit surfaces is presented. The employs structured grids spectral elements combination with fictitious domain approach to represent complex geometrical features through signed distance functions. A novel approach, based on moment fitting, introduced restore diagonal mass matrix property intersected int...

4 Where do orthogonal polynomials come from? 10 Continued fractions . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Padé approximation and rational interpolation . . . . . . . . . . 11 Moment problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Jacobi matrices and spectral theory of self-adjoint operators . . . 13 Quadrature . . . . . . . . . . . . . . . . . . . . . . . . . ....

Abstract 1: CMAQ is a numerical air quality model which gives concentration of various air pollutants at several different scales. Our main interest is to model the conditional distribution of high resolution output (96 by 96 in space,576 hours) given low resolution output (24 by 24 in space, 576 hours). By a Haar Wavelet Packet Transform of high resolution output for each hour, we naturally li...

Spectral methods, thanks to their high accuracy and the possibility of using fast algorithms, represent an effective way approximate collisional kinetic equations in theory. On other hand, loss some local invariants can lead wrong long time behavior numerical solution. We introduce this paper a novel Fourier–Galerkin spectral method that improves classical by making it conservative on moments a...