\(C^2\) rational quartic/cubic spline interpolant with shape constraints
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Publication:1990827
DOI10.1007/s00025-018-0883-9zbMath1496.65017OpenAlexW2889257110MaRDI QIDQ1990827
Publication date: 25 October 2018
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-018-0883-9
convergence analysisapproximation ordershape-preserving propertylocal control parameterrational spline interpolant
Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Unnamed Item
- A shape-preserving approximation by weighted cubic splines
- Monotone and convex interpolation by weighted quadratic splines
- Discrete weighted cubic splines
- \(C^2\) rational quartic interpolation spline with local shape preserving property
- Planar cubic \(G^{1}\) interpolatory splines with small strain energy
- An explicit method of \(C^ 2\) interpolation using splines
- Shape-preserving piecewise rational interpolant with quartic numerator and quadratic denominator
- Convex spline interpolants with minimal curvature
- Positive interpolation with rational quadratic splines
- Positive interpolation with rational splines
- A survey on univariate data interpolation and approximation by splines of given shape
- Weighted rational cubic spline interpolation and its application
- A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves
- Rational splines for Hermite interpolation with shape constraints
- Monotonicity-preserving image rational cubic spline for monotone data
- Shape preservingC2rational quartic interpolation spline with two parameters
- Convexity-Preserving Piecewise Rational Quartic Interpolation
- C2 Rational Quadratic Spline Interpolation to Monotonic Data
- The Determination of Derivative Parameters for a Monotonic Rational Quadratic Interpolant
- Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator
- A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
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