Interpolation by spline spaces on classes of triangulations
From MaRDI portal
Publication:1576466
DOI10.1016/S0377-0427(00)00387-3zbMath0966.65018MaRDI QIDQ1576466
Frank Zeilfelder, Günther Nürnberger
Publication date: 21 August 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
interpolationnumerical resultstriangulationsscattered dataBézier-Bernstein representationBurnside splines
Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Spline approximation (41A15)
Related Items (4)
The Nöther and Riemann-Roch type theorems for piecewise algebraic curve ⋮ Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations ⋮ Chebyshev multivariate polynomial approximation and point reduction procedure ⋮ Developments in bivarite spline interpolation
Cites Work
- Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials
- On bivariate super vertex splines
- Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree
- A bivariate \(C^ 2\) Clough-Tocher scheme
- A survey of curve and surface methods in CAGD
- An iterative method for computing multivariate \(C^ 1\) piecewise polynomial interpolants
- The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
- Dual bases for spline spaces on cells
- Approximation order of bivariate spline interpolation
- Super spline spaces of smoothness \(r\) and degree \(d\geq{} 3r+2\)
- A \(C^ 2\)-quintic spline interpolation scheme on triangulation
- Interpolation by bivariate quadratic splines on a four-directional mesh
- On the approximation power of bivariate splines
- Approximation order of bivariate spline interpolation for arbitrary smoothness
- A sharp upper bound on the approximation order of smooth bivariate pp functions
- Approximation power of smooth bivariate pp functions
- Quadrilateral finite elements of FVS type and class \(C^ \rho\)
- Triangular finite elements of HCT type and class \(C^ \rho\)
- Bivariate spline interpolation at grid points
- A \(C^ 2\) finite element and interpolation
- A conforming finite element for plate bending
- An Explicit Basis for $C^1 $ Quartic Bivariate Splines
- A Nodal Basis for C 1 Piecewise Polynomials of Degree n ≥5
- Piecewise Quadratic Approximations on Triangles
- Error analysis in interpolation by bivariate C1-splines
- On the Approximation Power of Splines on Triangulated Quadrangulations
- Swapping Edgesof Arbitrary Triangulations to Achieve the Optimal Order of Approximation
- Lagrange and hermite interpolation by bivariate splines
- On Super Splines and Finite Elements
- Stability of Optimal-Order Approximation by Bivariate Splines over Arbitrary Triangulations
- Construction of local 𝐶¹ quartic spline elements for optimal-order approximation
- Bivariate spline interpolation with optimal approximation order
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Interpolation by spline spaces on classes of triangulations
