Monotone and convex cubic spline interpolation
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Publication:1058685
DOI10.1007/BF02576538zbMath0565.41006MaRDI QIDQ1058685
Rossana Morandi, Paolo Giuseppe Costantini
Publication date: 1984
Published in: Calcolo (Search for Journal in Brave)
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)
Related Items (14)
Tomographic reconstruction of a convex body ⋮ An algorithm for computing shape-preserving interpolating splines of arbitrary degree ⋮ Staircase algorithm and construction of convex spline interpolants up to the continuity \(C^3\) ⋮ Shape preserving approximations by polynomials and splines ⋮ Determination of shape preserving spline interpolants with minimal curvature via dual programs ⋮ Constructive methods in convex \(C^ 2\) interpolation using quartic splines ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ Unnamed Item ⋮ A blending function method with interior contraints ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Monotonicity preserving rational quadratic fractal interpolation functions ⋮ An algorithm for computing shape-preserving cubic spline interpolation to data ⋮ Convex interval interpolation with cubic splines. II ⋮ An energy-minimization framework for monotonic cubic spline interpolation
Uses Software
Cites Work
- An algorithm for computing shape-preserving cubic spline interpolation to data
- Uniform approximation with constraints
- Markov-type inequalities and the degree of convex spline interpolation
- Piecewise monotone spline interpolation
- Piecewise monotone interpolation
- Convex interpolating splines of arbitrary degree. II
- Monotone Piecewise Cubic Interpolation
- Algorithms for Computing Shape Preserving Spline Interpolations to Data
- Monotone and Convex Spline Interpolation
- Interpolation by Convex Quadratic Splines
- Hermite Interpolation Errors for Derivatives
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