Bernstein-Bézier methods for the construction of bivariate spline approximants

DOI10.1016/0167-8396(85)90004-4zbMath0586.65009OpenAlexW2155674512MaRDI QIDQ1071474

Paul Sablonniere

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-8396(85)90004-4

zbMATH Keywords

Bernstein-Bézier polynomialstriangular interpolantsBézier schemes

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (10)

Interpolation de Lagrange par des splines quadratiques sur un quadrilatère de $\mathbb {R}^2$ ⋮ Error bounds on the approximation of functions and partial derivatives by quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of a rectangular domain ⋮ Semi-cardinal interpolation and difference equations: from cubic B-splines to a three-direction box-spline construction ⋮ On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains ⋮ Some performances of local bivariate quadratic \(C^1\) quasi-interpolating splines on nonuniform type-2 triangulations ⋮ Cubature rule associated with a discrete blending sum of quadratic spline quasi-interpolants ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains ⋮ On spline quasi-interpolation through dimensions ⋮ Completeness characterization of type-I box splines ⋮ Developments in bivarite spline interpolation

Cites Work

• Quadratic interpolatory splines
• Bivariate box splines and smooth pp functions on a three direction mesh
• A survey of curve and surface methods in CAGD
• Piecewise Quadratic Approximations on Triangles
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