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Volume 12, Issue 2
Monotone Piecewise Curve Fitting Algorithms

Zheng-Jun Zhang, Zi-Qiang Yang & Chun-Ming Zhang

J. Comp. Math., 12 (1994), pp. 163-172.

Published online: 1994-12

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  • Abstract

A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm and Gasparo-Morandi's algorithm for accurate or $O(h^q)$ accurate give date, but it has a more visually pleasing curve that those two algorithms. We also discuss the convergence order of cubic rational interpolation for $O(h^q)$ accurate date.

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@Article{JCM-12-163, author = {Zhang , Zheng-JunYang , Zi-Qiang and Zhang , Chun-Ming}, title = {Monotone Piecewise Curve Fitting Algorithms}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {2}, pages = {163--172}, abstract = {

A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm and Gasparo-Morandi's algorithm for accurate or $O(h^q)$ accurate give date, but it has a more visually pleasing curve that those two algorithms. We also discuss the convergence order of cubic rational interpolation for $O(h^q)$ accurate date.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9287.html} }
TY - JOUR T1 - Monotone Piecewise Curve Fitting Algorithms AU - Zhang , Zheng-Jun AU - Yang , Zi-Qiang AU - Zhang , Chun-Ming JO - Journal of Computational Mathematics VL - 2 SP - 163 EP - 172 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9287.html KW - AB -

A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm and Gasparo-Morandi's algorithm for accurate or $O(h^q)$ accurate give date, but it has a more visually pleasing curve that those two algorithms. We also discuss the convergence order of cubic rational interpolation for $O(h^q)$ accurate date.

Zhang , Zheng-JunYang , Zi-Qiang and Zhang , Chun-Ming. (1994). Monotone Piecewise Curve Fitting Algorithms. Journal of Computational Mathematics. 12 (2). 163-172. doi:
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