Abstract
A smooth curve interpolation scheme for positive, monotonic, and convex data has been developed. This scheme uses piecewise rational cubic functions. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. The degree of smoothness attained is C1.
| Original language | English |
|---|---|
| Pages (from-to) | 513-525 |
| Number of pages | 13 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 189 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1 May 2006 |
Bibliographical note
Funding Information:The authors are thankful for the anonymous referee's useful comments. The first author acknowledges the support of King Fahd University of Petroleum and Minerals in the development of the paper.
Keywords
- Approximation
- Data
- Interpolation
- Rational spline
- Visualization
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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