A method of nonlinear regression based on rational interpolation spline

So in recent years, rational interpolation splines have received more and more attention.

First of all, we introduce a number of commonly methods , includes wavelet analysis method and rational interpolation method, then we give a non-linear regression analysis method based on rational interpolation spline approximation using rational interpolation spline theory, and give numerical examples to illustrate the algorithm which is effective.

The paper proposes a new multi-focus image fusion rule based on definition which fused images by constructing weights coming from shape preserving rational cubic interpolating splines.

Analyzing the diode detecting characteristic by using spline interpolation technique;

The application of spline interpolation to motion simulation;

Analysis of spline interpolation in boundary element numerical calculation;

A class of C1 continuous algebraic trigonometric blending interpolation spline curves is constructed based on the definition of free form algebraic trigonometric blending base functions.

The worst case identification error upper bound is analyzed, and an explict error upper bound is obtained when the Lidstone interpolation spline and triangular window are used.

This paper presents a method for the graphical representation of curved,fitting of data with cubic polynomial local area interpolating splines, and deal with existence, uniqueness, approximation degree of the fitting.