Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface
A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/987076 |
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| _version_ | 1832549214867947520 |
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| author | Xinru Liu Yuanpeng Zhu Shengjun Liu |
| author_facet | Xinru Liu Yuanpeng Zhu Shengjun Liu |
| author_sort | Xinru Liu |
| collection | DOAJ |
| description | A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively. |
| format | Article |
| id | doaj-art-1303ec729dee4262809657d611dc3858 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1303ec729dee4262809657d611dc38582025-02-03T06:11:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/987076987076Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline SurfaceXinru Liu0Yuanpeng Zhu1Shengjun Liu2Power Metallurgy Research Institute, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaA biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively.http://dx.doi.org/10.1155/2014/987076 |
| spellingShingle | Xinru Liu Yuanpeng Zhu Shengjun Liu Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface Journal of Applied Mathematics |
| title | Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface |
| title_full | Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface |
| title_fullStr | Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface |
| title_full_unstemmed | Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface |
| title_short | Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface |
| title_sort | positivity and monotonicity preserving biquartic rational interpolation spline surface |
| url | http://dx.doi.org/10.1155/2014/987076 |
| work_keys_str_mv | AT xinruliu positivityandmonotonicitypreservingbiquarticrationalinterpolationsplinesurface AT yuanpengzhu positivityandmonotonicitypreservingbiquarticrationalinterpolationsplinesurface AT shengjunliu positivityandmonotonicitypreservingbiquarticrationalinterpolationsplinesurface |