A new bivariate rational interpolation based on function values

DOI10.1016/j.ins.2003.12.001zbMath1101.68903OpenAlexW2026089215MaRDI QIDQ1886777

E. H. Twizell, Liqiu Wang, Qi Duan

Publication date: 19 November 2004

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2003.12.001

zbMATH Keywords

Computer aided geometric designBivariate interpolationBivariate rational spline

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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A bivariate rational cubic interpolating spline with biquadratic denominator ⋮ A weighted bivariate blending rational interpolation based on function values ⋮ HTR-CTO algorithm for wireless data recovery ⋮ A new approach to Newton-type polynomial interpolation with parameters ⋮ Bounded property and point control of a bivariate rational interpolating surface ⋮ A bivariate rational interpolation with a bi-quadratic denominator ⋮ A bivariate rational interpolation and the properties ⋮ Positivity preserving interpolation using rational bicubic spline ⋮ A surface modeling method by using \(C^2\) piecewise rational spline interpolation

Cites Work

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• An approach of designing and controlling free-form surfaces by using NURBS boundary Gregory patches
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• Universal parametrization and interpolation on cubic surfaces
• Generating the Bézier points of a \(\beta\)-spline curve

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