A C1 bivariate rational cubic interpolating spline

doi:10.3969/j.issn.0253-2778.2017.03.002

Journal of University of Science and Technology of China ›› 2017, Vol. 47 ›› Issue (3): 204-213.DOI: 10.3969/j.issn.0253-2778.2017.03.002

• Original Paper • Previous Articles Next Articles

A C¹ bivariate rational cubic interpolating spline

WANG Dongyin, TAO Youtian

1. College of Applied Mathematics, Chaohu University, Chaohu 238000, China; 2. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China; 3. Anhui Fuhuang Steel Structure, Chaohu 238076, China

Received:2015-04-04 Revised:2015-09-30 Accepted:2015-09-30 Online:2023-03-27 Published:2015-09-30
Contact: TAO Youtian
About author:WANG Dongyin, female, born in 1978, master/associate Prof. Research field: Applied mathematics. E-mail: chaohuwdy@163.com.
Supported by:
Supported by the Nation Natural Science Foundation of China(11472063), the Provincial Natural Science Research Program of Higher Education Institutions of Anhui Province(KJ2013A194, KJ2013Z230), Anhui Province Colleges and Universities Outstanding Youth Talent Support Program(gxyqZD2016285).

Abstract

Abstract: A bivariate rational bicubic interpolating spline(BRIS) with biquadratic denominator and six shape parameters was constructed using both function values and partial derivatives of the function as the interpolation data in a rectangular domain. The C¹ continuous condition of BRIS was discussed. Some properties of BRIS such as symmetry were given. BRIS was proved to be bounded and its error was estimated. In the end, a numerical example was given to illustrate the effect of the shape parameters on the shape of BRIS surface.

Key words: bivariate rational interpolating spline, shape parameter, bounded property, error estimate, symmetry

CLC Number:

O241.5

WANG Dongyin, TAO Youtian. A C¹ bivariate rational cubic interpolating spline[J]. Journal of University of Science and Technology of China, 2017, 47(3): 204-213.

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A C¹ bivariate rational cubic interpolating spline

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