\(S\)-convex, monotone, and positive interpolation with rational bicubic spline of \(C^ 2\)-continuity

DOI10.1007/BF01990531zbMath0791.65007MaRDI QIDQ1314636

Jochen W. Schmidt, Walter Heß

Publication date: 7 July 1994

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

monotoneshape preserving\(S\)-convexity\(C^ 2\)-continuitybivariate rational cubic splinemonotone, and positive interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items

Positive, monotone, and \(S\)-convex \(C^ 1\)-histopolation on rectangular grids, Smooth bivariate shape-preserving cubic spline approximation, Positive quartic, monotone quintic \(C^ 2\)-spline interpolation in one and two dimensions, Nonnegative data interpolation by spherical splines, \(C^2\) positivity-preserving rational interpolation splines in one and two dimensions, \(C^2\) rational interpolation splines with region control and image interpolation application, Variational bivariate interpolating splines with positivity constraints

Cites Work

• Monotonicity preserving bicubic interpolation: A progress report
• Rational biquadratic \(C^ 1\)-splines in \(S\)-convex interpolation
• Positive, monotone, and \(S\)-convex \(C^ 1\)-interpolation on rectangular grids
• A survey on univariate data interpolation and approximation by splines of given shape
• Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
• Shape-Preserving Bivariate Interpolation
• Monotone Piecewise Bicubic Interpolation
• Monotonicity Preserving Surface Interpolation
• On superadditive rates of convergence
• An Algorithm for Monotone Piecewise Bicubic Interpolation
• Bicubic Spline Interpolation
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