Affiliation:
1. School of Artificial Intelligence, Changchun University of Science and Technology, Changchun 130022, P. R. China
2. School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, P. R. China
Abstract
In this paper, we consider the problem of computing bivariate barycentric and Newton rational interpolation over rectangular grids. Given a set of rectangular grids, under the conditions that the degrees of the numerator and denominator of rational interpolant are prescribed, we provide a matrix method for calculating barycentric weight vector and denominator value vector, which, respectively, induce barycentric and Newton representations of rational interpolants. We aim at constructing the rational interpolants that globally approximate interpolated function. Numerical examples compare the maximum errors of barycentric rational interpolant, Newton rational interpolant, linear interpolant, cubic interpolant and spline interpolant. Numerical results show the higher accuracy of barycentric and Newton rational interpolation.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Artificial Intelligence,Computer Vision and Pattern Recognition,Software