Name
Abstract | ||
|---|---|---|
Constructing shape-preserving interpolation spline has been a hot topic in industrial design and scientific data visualization during the past 30 years. In the existing shape preserving <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_973864_ilm0001.gif\"/</inline-formula> interpolation spline methods, however, some methods can be only used to preserve the monotonic data set, while others can be only used to preserve the convex data set, and often for <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_973864_ilm0002.gif\"/</inline-formula> continuity, it is requested to solve a linear system of consistency equations for the derivative values at the knots. In this paper, a new explicit representation of a <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_973864_ilm0003.gif\"/</inline-formula> rational quartic interpolation spline with two local tension parameters is developed. A convergence analysis establishes an error bound and shows that the order of approximation is <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_973864_ilm0004.gif\"/</inline-formula> accuracy. Sufficient conditions for the proposed interpolation spline to preserve the shape of positive, monotonic, and convex set of data are derived. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1080/00207160.2014.973864 | International Journal of Computer Mathematics |
Keywords | Field | DocType |
rational quartic interpolation spline, convergence analysis, approximation order, shape-preserving interpolation | Mathematical optimization,Thin plate spline,Polynomial interpolation,Hermite spline,Spline interpolation,Mathematical analysis,Interpolation,Smoothing spline,Monotone cubic interpolation,Polyharmonic spline,Mathematics | Journal |
Volume | Issue | ISSN |
92 | 10 | 0020-7160 |
Citations | PageRank | References |
3 | 0.45 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| yuanpeng zhu | 1 | 3 | 0.45 |
| Xuli Han | 2 | 159 | 22.91 |