Shape-preserving quasi-interpolation and interpolation by box spline surfaces

DOI10.1016/0377-0427(89)90046-0zbMath0665.65007OpenAlexW2013848387MaRDI QIDQ1116262

Harvey Diamond, Charles K. Chui, Louise A. Raphael

Publication date: 1989

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(89)90046-0

zbMATH Keywords

interpolationmonotonicityconvexitypositivityshape-preserving approximationbox-spline surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (4)

Smooth bivariate shape-preserving cubic spline approximation ⋮ Constructing radial kernels with higher-order generalized Strang-Fix conditions ⋮ Optimal estimation of univariate black-box Lipschitz functions with upper and lower error bounds. ⋮ On the approximation power of bivariate quadratic \(C^1\) splines

Cites Work

• Bivariate cardinal interpolation by splines on a three-direction mesh
• A practical guide to splines
• Interpolation by Multivariate Splines
• A Natural Formulation of Quasi-Interpolation by Multivariate Splines
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