Positive, monotone, and \(S\)-convex \(C^ 1\)-histopolation on rectangular grids

DOI10.1007/BF02280037zbMath0770.65003OpenAlexW2924537841MaRDI QIDQ2366303

Jochen W. Schmidt

Publication date: 29 June 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02280037

zbMATH Keywords

monotonepositivestable algorithm\(S\)-convexrational biquadratic splinesshape preserving histopolationvolume matching splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (1)

Rational spline histopolation of convex data

Cites Work

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• A shape preserving area true approximation of histogram by rational splines
• On the characterization of non-negative volume-matching surface splines
• Rational biquadratic \(C^ 1\)-splines in \(S\)-convex interpolation
• Finite element approximation of the volume-matching problem
• Constrained smoothing of histograms by quadratic splines
• Positive, monotone, and \(S\)-convex \(C^ 1\)-interpolation on rectangular grids
• \(S\)-convex, monotone, and positive interpolation with rational bicubic spline of \(C^ 2\)-continuity
• Shape preserving histopolation using rational quadratic splines
• Piecewise Monotone Quadratic Histosplines

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