Rational biquadratic \(C^ 1\)-splines in \(S\)-convex interpolation

DOI10.1007/BF02242024zbMath0760.41007OpenAlexW80503136MaRDI QIDQ1179544

Jochen W. Schmidt

Publication date: 26 June 1992

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242024

zbMATH Keywords

\(S\)-convexityrational biquadratic \(C^ 1\)-spline interpolants

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (6)

Positive, monotone, and \(S\)-convex \(C^ 1\)-histopolation on rectangular grids ⋮ Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions ⋮ Sectional-curvature preserving skinning surfaces ⋮ Positive, monotone, and \(S\)-convex \(C^ 1\)-interpolation on rectangular grids ⋮ On a class of polynomial triangular macro-elements ⋮ \(S\)-convex, monotone, and positive interpolation with rational bicubic spline of \(C^ 2\)-continuity

Cites Work

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• Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
• Shape-Preserving Bivariate Interpolation
• Monotonicity Preserving Surface Interpolation
• On superadditive rates of convergence
• Newton-like methods with monotone convergence for solving nonlinear operator equations

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