Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface
This paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids. The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region. Sufficient conditions are derived on coefficients in the rational sp...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/624978 |
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| author | Xingxuan Peng Zhihong Li Qian Sun |
| author_facet | Xingxuan Peng Zhihong Li Qian Sun |
| author_sort | Xingxuan Peng |
| collection | DOAJ |
| description | This paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids. The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region. Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always nonnegative if the original data are nonnegative. The gradients at the data sites are modified if necessary to ensure that the nonnegativity conditions are fulfilled. Some numerical examples are illustrated in the end of this paper. |
| format | Article |
| id | doaj-art-df82b33ee97a465bbadb25318e7dc647 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-df82b33ee97a465bbadb25318e7dc6472025-02-03T06:44:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/624978624978Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline SurfaceXingxuan Peng0Zhihong Li1Qian Sun2School of Mathematics, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematics, Liaoning Normal University, Dalian 116029, ChinaSchool of Mathematics, Liaoning Normal University, Dalian 116029, ChinaThis paper is concerned with the nonnegativity preserving interpolation of data on rectangular grids. The function is a kind of bivariate rational interpolation spline with parameters, which is C1 in the whole interpolation region. Sufficient conditions are derived on coefficients in the rational spline to ensure that the surfaces are always nonnegative if the original data are nonnegative. The gradients at the data sites are modified if necessary to ensure that the nonnegativity conditions are fulfilled. Some numerical examples are illustrated in the end of this paper.http://dx.doi.org/10.1155/2012/624978 |
| spellingShingle | Xingxuan Peng Zhihong Li Qian Sun Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface Journal of Applied Mathematics |
| title | Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface |
| title_full | Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface |
| title_fullStr | Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface |
| title_full_unstemmed | Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface |
| title_short | Nonnegativity Preserving Interpolation by C1 Bivariate Rational Spline Surface |
| title_sort | nonnegativity preserving interpolation by c1 bivariate rational spline surface |
| url | http://dx.doi.org/10.1155/2012/624978 |
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