Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions

DOI10.1016/0377-0427(94)90184-8zbMath0826.41012OpenAlexW2158061531MaRDI QIDQ1891036

Jochen W. Schmidt, Walter Heß

Publication date: 7 December 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90184-8

zbMATH Keywords

shape-preserving splinesone-dimensional interpolationtwo-dimensional interpolationquartic \(C^ 2\)-splinesquintic \(C^ 2\)-splinessufficient positivity and monotonicity conditions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Spline approximation (41A15)

Related Items (8)

Interpolation and approximation from convex sets ⋮ The convergence properties of a type II complete deficient quartic spline ⋮ On Hermite Interpolation by Splines with Continuous Third Derivatives ⋮ \(C^2\) positivity-preserving rational interpolation splines in one and two dimensions ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ Spline-based modelling of near-surface wind speeds in tropical cyclones ⋮ Variational bivariate interpolating splines with positivity constraints ⋮ A surface modeling method by using \(C^2\) piecewise rational spline interpolation

Uses Software

• pchip

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadratic and related exponential splines in shape preserving interpolation
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Determination of shape preserving spline interpolants with minimal curvature via dual programs
• Positive interpolation with rational quadratic splines
• Rational biquadratic \(C^ 1\)-splines in \(S\)-convex interpolation
• Dual algorithms for solving convex partially separable optimization problems
• A survey on univariate data interpolation and approximation by splines of given shape
• \(S\)-convex, monotone, and positive interpolation with rational bicubic spline of \(C^ 2\)-continuity
• Powell-Sabin splines in range restricted interpolation of scattered data
• An always successful method in univariate convex \(C^ 2\) interpolation
• Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation
• On Shape Preserving Quadratic Spline Interpolation
• Monotone Piecewise Cubic Interpolation
• Positive Hermite Interpolation by Quadratic Splines
• Monotone and Convex Spline Interpolation

This page was built for publication: Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions