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International Journal of Computer Mathematics Volume 72, 1999 - Issue 2
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Original Articles

The approximation properties of some rational cubic splines

Qi Duan Department of Ship Science, University of Southampton, Southampton, SO17 1BJ, England
,
K. Djidjeli Department of Ship Science, University of Southampton, Southampton, SO17 1BJ, England
,
W. G. Price Department of Ship Science, University of Southampton, Southampton, SO17 1BJ, England
&
E. H. Twizell Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, UB8 3PH, England
Pages 155-166 | Received 02 Feb 1998, Published online: 19 Mar 2007

Citations (20)

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Read on this site (2)

Qi Duan, Xipu Liu & Fangxun Bao. (2010) Local shape control of the rational interpolation curves with quadratic denominator. International Journal of Computer Mathematics 87:3, pages 541-551.
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Qi Duan, Yunfeng Zhang & E. H. Twizell. (2005) Error analysis of the derivative of rational interpolation with a linear denominator. International Journal of Computer Mathematics 82:11, pages 1403-1412.
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Articles from other publishers (18)

Yang Ning, Yifang Liu, Yunfeng Zhang & Caiming Zhang. (2018) Adaptive image rational upscaling with local structure as constraints. Multimedia Tools and Applications 78:6, pages 6889-6911.
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Yuanpeng Zhu. (2018) C2 positivity-preserving rational interpolation splines in one and two dimensions. Applied Mathematics and Computation 316, pages 186-204.
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Youtian Tao & Dongyin Wang. (2015) A bivariate rational cubic interpolating spline with biquadratic denominator. Applied Mathematics and Computation 264, pages 366-377.
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Jin Xie & Xiaoyan Liu. (2014) The EH Interpolation Spline and Its Approximation. Abstract and Applied Analysis 2014, pages 1-6.
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Qinghua Sun, Fangxun Bao, Yunfeng Zhang & Qi Duan. (2013) A bivariate rational interpolation based on scattered data on parallel lines. Journal of Visual Communication and Image Representation 24:1, pages 75-80.
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Xingang Wang, Yushui Geng, Zhenyu Yang & Shilong Li. (2011) Error Analysis of the Derivative of the Rational Interpolation Based on Function Values. Error Analysis of the Derivative of the Rational Interpolation Based on Function Values.
Meng Tian & Hong Ling Geng. (2011) Constrained Control of a Rational Interpolant. Advanced Materials Research 225-226, pages 170-173.
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Meng Tian & Hong Ling Geng. (2011) The Approximation Properties of a Rational Cubic Spline. Advanced Materials Research 225-226, pages 166-169.
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Fangxun Bao, Qinghua Sun, Jianxun Pan & Qi Duan. (2010) Point control of rational interpolating curves using parameters. Mathematical and Computer Modelling 52:1-2, pages 143-151.
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Fangxun Bao, Qinghua Sun, Jianxun Pan & Qi Duan. (2010) A blending interpolator with value control and minimal strain energy. Computers & Graphics 34:2, pages 119-124.
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Fangxun Bao, Qinghua Sun & Qi Duan. (2009) Point control of the interpolating curve with a rational cubic spline. Journal of Visual Communication and Image Representation 20:4, pages 275-280.
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Siqing Deng, Kui Fang, Jin Xie & Fulai Chen. 2008. Technologies for E-Learning and Digital Entertainment. Technologies for E-Learning and Digital Entertainment 773 780 .
Qi Duan, Huanling Zhang, Yunfeng Zhang & E.H. Twizell. (2007) Error estimation of a kind of rational spline. Journal of Computational and Applied Mathematics 200:1, pages 1-11.
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Qi Duan, Liqiu Wang & E.H. Twizell. (2005) A new weighted rational cubic interpolation and its approximation. Applied Mathematics and Computation 168:2, pages 990-1003.
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Qi Duan, Liqiu Wang & E.H. Twizell. (2005) A new C2 rational interpolation based on function values and constrained control of the interpolant curves. Applied Mathematics and Computation 161:1, pages 311-322.
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Qi Duan, K. Djidjeli, W.G. Price & E.H. Twizell. (2003) Constrained control and approximation properties of a rational interpolating curve. Information Sciences 152, pages 181-194.
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Qi Duan, K. Djidjeli, W.G. Price & E.H. Twizell. (2000) Weighted rational cubic spline interpolation and its application. Journal of Computational and Applied Mathematics 117:2, pages 121-135.
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Qi Duan, T.S. Chen, K. Djidjeli, W.G. Price & E.H. Twizell. (2000) A method of shape control of curve design. A method of shape control of curve design.

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