In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...

Piecewise polynomial functions are frequently used to approximate functions that exhibit complex behavior across a variety of scales. We investigate the use of nonuniform FFT (NUFFT) approaches to quickly and accurately evaluate the first several Fourier series coefficents of piecewise linear functions, and propose a new NUFFT approach that provides quick convergence at relatively low cost.

In this paper the effect of window shape parameter „α‟ in Kaiser-Hamming and Cosh-Hamming window functions on the signal to noise ratio (SNR) values of the Indian Mesosphere-Stratosphere-Troposphere (MST) radar is computed. The six parts of multibeam observations of the lower atmosphere made by the MST radar are utilized for the analysis of results. Prior to the Fourier transformation, the in-p...

PURPOSE To develop an age-dependent mathematical model of the zero-order shape of the isolated ex vivo human crystalline lens, using one mathematical function, that can be subsequently used to facilitate the development of other models for specific purposes such as optical modeling and analytical and numerical modeling of the lens. METHODS Profiles of whole isolated human lenses (n=30) aged 2...

in this paper, cubic nickel oxide nanoparticles were successfully prepared by solid-state thermal decomposition of nickel(ii) macrocyclic schiff-base complex at 450°c for 3 h without employing toxic solvent or surfactant and complicated equipment. nickel(ii) macrocyclic schiff-base complex was synthesized by the reaction of 1,2-bis(2-formyl-3-methoxyphenyl)propane, nicl2•6h2o and 1,3-phenylened...

The classical Fourier transform Fcl is an isomorphism of the Schwartz space S(Rk) onto itself. The space C∞ c (Rk) of smooth functions with compact support is dense in S(Rk), and the classical Paley-Wiener theorem characterises the image of C∞ c (R k) under Fcl as rapidly decreasing functions having an holomorphic extension to Ck of exponential type. Since Rk is self-dual, the same theorem also...

We present a unified Bayesian approach to shape representation and related problems in perceptual organization, including part decomposition, shape similarity, figure/ground estimation, and 3D shape. The approach is based on the idea of estimating the skeletal structure most likely to have generated the observed shape via a process of stochastic “growth.” We survey the approach briefly and show...

By using a spectral approach, we derive a Gaussian-like quadrature of the continuous fractional Fourier transform. The quadrature is obtained from a bilinear form of eigenvectors of the matrix associated to the recurrence equation of the Hermite polynomials. These eigenvectors are discrete approximations of the Hermite functions, which are eigenfunctions of the fractional Fourier transform oper...