Associated Continued Fractions-Barycentric Blending Rational Interpolation and Its Application in Image Processing

Author

Zhang, Yigang ; Zou, Le

Author_Institution

Sci. & Technol. Dept., Hefei Univ., Hefei, China

fYear

2012

fDate

17-19 Aug. 2012

Firstpage

616

Lastpage

619

Abstract

The advantages of barycentric interpolation formulations in computation are small number of floating points operations and good numerical stability. Adding a new data pair, the barycentric interpolation formula don´t require to renew computation of all basis functions. Associated continued fraction interpolation is a classical nonlinear interpolation. A new kind of blending rational interpolants was constructed by combining barycentric interpolation and associated continued fractions. We discussed the interpolation theorem, error estimation, numerical examples. Applications to image processing are discussed.

Keywords

image processing; interpolation; associated continued fractions-barycentric blending rational interpolation; basis functions; blending rational interpolants; data pair; error estimation; floating points operations; image processing; nonlinear interpolation; numerical stability; Chebyshev approximation; Educational institutions; Image processing; Interpolation; Numerical stability; Polynomials; associated continued fractions; barycentric interpolation; image processing; rational interpolation;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on

Conference_Location

Chongqing

Print_ISBN

978-1-4673-2406-9

Type

conf

DOI

10.1109/ICCIS.2012.89

Filename

6300604