A shape-preserving approximation by weighted cubic splines

DOI10.1016/j.cam.2012.04.001zbMath1248.65017OpenAlexW1968834153MaRDI QIDQ442724

Tae-Wan Kim, Boris I. Kvasov

Publication date: 3 August 2012

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.2012.04.001

zbMATH Keywords

monotonicitynumerical examplesconvexityerror estimatecubic splinesshape-preserving interpolationadaptive choice of weightsgeneration of freeform curvesshape-preserving approximationweighted cubic B-spline basisweighted cubic splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Curves and surfaces construction based on new basis with exponential functions ⋮ Discrete weighted cubic splines ⋮ Convexity and monotonicity properties of the local integro cubic spline ⋮ \(C^2\) rational quartic/cubic spline interpolant with shape constraints ⋮ Monotone and convex interpolation by weighted cubic splines ⋮ Integro Cubic Splines on Non-Uniform Grids and Their Properties ⋮ Weighted cubic and biharmonic splines

Cites Work

• Parallel mesh methods for tension splines
• \(C^ 1\) splines for interpolation of rapidly varying data
• Local control of interval tension using weighted splines
• A shape preserving interpolant with tension controls
• \(Q\)-splines
• Weighted splines as optimal interpolants
• Polynomial Chebyshev splines
• Limits of weighted splines based on piecewise constant weight functions
• Variable degree polynomial splines are Chebyshev splines
• On discrete hyperbolic tension splines
• A rational cubic spline with tension
• Hyperbolic spline interpolation algorithms
• Interpolation with interval and point tension controls using cubic weighted v -splines
• Shape-Preserving Interpolation by Parametrically Defined Curves
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A shape-preserving approximation by weighted cubic splines