Application Of Spline Functions Research Articles

입지 갈등 사례의 이슈생애주기 탐색 연구 : 운형함수(spline function) 방법론의 적용

입지 갈등 사례의 이슈생애주기 탐색 연구 : 운형함수(spline function) 방법론의 적용

Evaluation of spline functions for digital filtering problems

Methods for the evaluation of spline functions for digital filtering in data processing systems are developed. Basis polynomials of general form and basis discrete orthogonal polynomials are considered. Computations are organized by solving constrained optimization problems. Recurrences for the system of normalized discrete orthogonal polynomials and their derivatives are obtained. The proposed spline functions on discrete orthogonal polynomials reduce the computational cost and approximation errors compared with the case of general polynomials. The results of the statistical simulation of the application of spline functions based on discrete orthogonal polynomials in digital filtering problems are presented.

The Application of Spline Functions in Wavelet Construction

On the basis of the spline function theory and the study of spline functions, the article discusses the refinement shift-invariant space of the functions in detail. The important quality and characteristics of the space are acquired to offer the methods for wavelet construction.

Application of Spline Function Based on Material Properties in the Deformation Analysis

Considering the material property of the soil body to the earthquake area and the situation that the law of the deformation of surface points in regions of active seismicity will vary before and after the occurrence of an earthquake, the paper discusses the method to erect a model of vertical deformation in regions of active seismicity using spline function. Finally, it verifies the effectiveness of the method using a simulating network. Some beneficial conclusions are obtained.

Application of Spline Function in Solution for Pressure Angle of Oscillating-Roller-Followed Cam

Due to uncompleted cam basic parameters or unknown motion functions of follower, it is difficulty to calculate pressure angle for cam mechanisms while only given some discrete points on actual cam profile. After the research of solution for pressure angle of the oscillating-roller-followed disk cam used in cold forging machine, the article brings foreword detailed solutions under such condition above based on cubic spline interpolation function.

G805 3 次元渦法へのスプライン関数の応用

G805 3 次元渦法へのスプライン関数の応用

The application of Spline Function in the geometric reproduction of log shape

The paper introduces a method to get three-dimensional reproduction of log shape by adopting Spline Function in fitting the curve of the finite log data. The method has advantages of higher accuracy, less acquired data, easier to use, etc. Making use of high-precision drawing function of computer, the graphs of log geometric shape in different visual angles can be achieved easily with this method. It also provided a firm foundation for the determination of optimum saw cutting scheme.

Spline approximations for direct integration of structural dynamics

AbstractThe application of spline functions in the analysis of structural dynamics is presented in this paper. The nodal points in time discretization for determining the spline curve can be separated into two classes: the p nodal points before the current time (including current time) and the q nodal points after the current time. On the p nodal points, the structural responses were calculated at previous time steps. The q nodal points represent the unknown structural response at future time steps which should meet the requirement of dynamic equilibrium. By a trial and error procedure, at least 16 families of spline curves with different locations of p and q nodal points can be found to meet the requirements of unconditional stability. The accuracy of each family is dependent on the order of the spline and the locations of the nodal points. The 16 families of spline curves supply a wide range of accuracy that can be selected easily. It can be shown that the well‐known Wilson‐method and the Houbolt method are special cases of the present spline approximations.

Application of spline functions in calculating the surface excess isotherm according to the gibbs isotherm

Spline functions are proposed for computing the surface excess isotherms for the adsorption of 2-hydroxy-5-alkyl-benzophenone oximes at toluene/water and octane/water interfaces. The proper choice of boundary conditions, sub-intervals and type of the functions used to compute the first derivative is discussed. The spline functions give the values of the surface excess which can then be used in describing the kinetics and mechanism of copper extraction by hydroxyoximes.

Numerical Treatment of Algebraic Integral Equations by Variational Methods

This paper describes a generalization of the Ritz–Galerkin method for the numerical calculation of the eigenvalues of operator polynomials. Error estimates are derived for the application of spline functions and finite elements.

Application of Spline Functions to Volterra Integral Equations

Application of Spline Functions to Volterra Integral Equations