Approximation order for bivariate \(C^ 1\)-cubics on a four-directional mesh is full

DOI10.1016/0167-8396(94)90033-7zbMath0792.41023OpenAlexW2068283443MaRDI QIDQ1324664

Ming-Jun Lai

Publication date: 24 May 1994

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)90033-7

zbMATH Keywords

full approximation orderbivariate \(C^ 1\) piecewise cubic polynomial functions

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10) Spline approximation (41A15)

Related Items

Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials, Optimal bivariate \(C^{1}\) cubic quasi-interpolation on a type-2 triangulation, Bivariate \(C^{1}\) cubic spline spaces with homogeneous boundary conditions over FVS triangulation, An explicit local basis for \(C^{1}\) cubic spline spaces over a triangulated quadrangulation, Developments in bivarite spline interpolation, Bivariate \(C^1\) cubic spline space over a nonuniform type-2 triangulation and its subspaces with boundary conditions

Cites Work

• On minimal and quasi-minimal supported bivariate splines
• Approximation power of smooth bivariate pp functions
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Approximation Order from Bivariate C 1 -Cubics: A Counterexample