Universal parametrization and interpolation on cubic surfaces

DOI10.1016/S0167-8396(02)00125-5zbMath0998.68188OpenAlexW1975665011MaRDI QIDQ1608852

Rainer Müller

Publication date: 13 August 2002

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(02)00125-5

zbMATH Keywords

interpolationrational curvescubic surfacesrational patchesuniversal parametrization

Mathematics Subject Classification ID

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

Related Items (10)

A new bivariate rational interpolation based on function values ⋮ Almost universal parametrizations for cubic surfaces ⋮ A bivariate rational cubic interpolating spline with biquadratic denominator ⋮ Shape control of a bivariate interpolating spline surface ⋮ Hermite interpolation by piecewise rational surface ⋮ 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 ⋮ Finding a cyclide given three contact conditions ⋮ A surface modeling method by using \(C^2\) piecewise rational spline interpolation

Cites Work

• An algebraic approach to curves and surfaces on the sphere and on other quadrics
• Minimal rational parametrizations of canal surfaces
• Automatic parametrization of rational curves and surfaces. II: Cubics and cubicoids
• Bézier representation for cubic surface patches
• Rational parametrization of surfaces
• Toric surface patches
• Implicitization and parametrization of nonsingular cubic surfaces
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