Weighted rational cubic spline interpolation and its application

DOI10.1016/S0377-0427(99)00336-2zbMath0961.65009OpenAlexW2028106580MaRDI QIDQ1570986

E. H. Twizell, W. G. Price, K. Djidjeli, Qi Duan

Publication date: 16 May 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00336-2

zbMATH Keywords

numerical examplescubic splineconstrained interpolationrational splineweighted rational interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by rational functions (41A20) Numerical interpolation (65D05)

Related Items (16)

Error estimation of a kind of rational spline ⋮ A class of \(C^1\) rational interpolation splines in one and two dimensions with region control ⋮ A weighted bivariate blending rational interpolation based on function values ⋮ Shape control of a bivariate interpolating spline surface ⋮ Hermite interpolation by piecewise rational surface ⋮ Multiple-cue saliency measurement and optimized image composition for image retargeting ⋮ Bounded property and point control of a bivariate rational interpolating surface ⋮ Error analysis of the derivative of rational interpolation with a linear denominator ⋮ \(C^2\) rational quartic/cubic spline interpolant with shape constraints ⋮ A new \(C^2\) rational interpolation based on function values and constrained control of the interpolant curves ⋮ A bivariate rational interpolation with a bi-quadratic denominator ⋮ Unconditionally convergent rational interpolation splines ⋮ A bivariate rational interpolation and the properties ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ Local shape control of the rational interpolation curves with quadratic denominator ⋮ A new weighted rational cubic interpolation and its approximation

Cites Work

• A survey of curve and surface methods in CAGD
• Local control of interval tension using weighted splines
• Positive interpolation with rational quadratic splines
• Generating the Bézier points of a \(\beta\)-spline curve
• The approximation properties of some rational cubic splines
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