A weighted bivariate blending rational interpolation based on function values

DOI10.1016/j.amc.2010.11.016zbMath1209.65014OpenAlexW1996094617MaRDI QIDQ621012

Wei-Xian Huang, Guo-Jin Wang

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.016

zbMATH Keywords

bivariate interpolationcubic splinecomputer aided geometric design\(C^1\)-continuousrational spline interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by rational functions (41A20) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

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Cites Work

• Local smooth surface interpolation: A classification
• Weighted rational cubic spline interpolation and its application
• A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves
• Visually smooth composite surfaces for an unevenly spaced 3D data array
• Interpolation and approximation by polynomials
• A new bivariate rational interpolation based on function values
• Bounded property and point control of a bivariate rational interpolating surface
• A bivariate rational interpolation and the properties
• A new weighted rational cubic interpolation and its approximation

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