Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation
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Publication:2424931
DOI10.1016/j.cam.2019.02.024zbMath1415.65027OpenAlexW2919713070MaRDI QIDQ2424931
Nikolaos C. Gabrielides, Nickolas S. Sapidis
Publication date: 25 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.02.024
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)
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- Convexity preservation of five-point binary subdivision scheme with a parameter
- Monotone and convex interpolation by weighted quadratic splines
- Solution formulas for cubic equations without or with constraints
- Polynomial cubic splines with tension properties
- Positivity-preserving interpolation of positive data by rational cubics
- The cubic trigonometric Bézier curve with two shape parameters
- Monotone and convex cubic spline interpolation
- An algorithm for computing shape-preserving cubic spline interpolation to data
- Admissible slopes for monotone and convex interpolation
- A shape preserving interpolant with tension controls
- Monotone linear rational spline interpolation
- \(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree
- Piecewise \(C^ 1\)-shape-preserving Hermite interpolation
- \(C^ 1\) comonotone Hermite interpolation via parametric cubics
- Ternary shape-preserving subdivision schemes
- On the interpolating 5-point ternary subdivision scheme: a revised proof of convexity-preservation and an application-oriented extension
- Monotonicity-preserving image rational cubic spline for monotone data
- A rational cubic spline with tension
- On the Order of Nonuniform Monotone Cubic Hermite Interpolants
- Shape-preserving curve interpolation
- Convexity-Preserving Polynomial Splines of Non-uniform Degree
- On Shape Preserving Quadratic Spline Interpolation
- A Method for Constructing Local Monotone Piecewise Cubic Interpolants
- Shape Preserving Piecewise Rational Interpolation
- Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator
- Interpolation by Convex Quadratic Splines
- Shape preserving C2 cubic spline interpolation
- On Monotone and Convex Spline Interpolation
- A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
- On shape preserving \(C^2\) Hermite interpolation
- Shape-preserving \(C^2\) functional interpolation via parametric cubics
