Convexity preserving interpolation with exponential splines

DOI10.1007/BF02240208zbMath0581.41013OpenAlexW20558287MaRDI QIDQ1068299

Jochen W. Schmidt, Walter Heß

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02240208

zbMATH Keywords

quadratic programmingnumerical algorithmsconvexity conditionsinterpolating splinesquadratic optimization problemunconstrained dual program with tridiagonal Hessianweakly coupled system of inequalities

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Quadratic programming (90C20) Spline approximation (41A15)

Related Items (9)

\(C^2\) tension splines construction based on a class of sixth-order ordinary differential equations ⋮ An analysis of a uniformly accurate spline difference method ⋮ Quadratic and related exponential splines in shape preserving interpolation ⋮ Determination of shape preserving spline interpolants with minimal curvature via dual programs ⋮ Fast algorithms for interpolation and smoothing for a general class of fourth order exponential splines ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ Locally optimal knots and tension parameters for exponential splines ⋮ \(C^4\) interpolation and smoothing exponential splines based on a sixth order differential operator with two parameters ⋮ A local algorithm for constructing non-negative cubic splines

Cites Work

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• Schwach verkoppelte Ungleichungssysteme und konvexe Spline-Interpolation
• Convex spline interpolants with minimal curvature
• Determination of shape preserving spline interpolants with minimal curvature via dual programs
• An algorithm for the computation of the exponential spline
• Properties of splines in tension
• Scalar- and planar-valued curve fitting using splines under tension
• An Interpolation Curve Using a Spline in Tension

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