Abstract
In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.
Original language | English |
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Pages (from-to) | 203-215 |
Number of pages | 13 |
Journal | Journal of Applied Mathematics and Computing |
Volume | 6 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1999 |
Keywords
- Approximation
- Constrained design
- Constrained interpolation
- Rational spline
- Shape control
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics