Recursive computation of bivariate Hermite spline interpolants

DOI10.1016/j.apnum.2006.09.004zbMath1127.65012OpenAlexW2043923304MaRDI QIDQ2371325

A. Mazroui, Ahmed Tijini, Driss Sbibih

Publication date: 4 July 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.09.004

zbMATH Keywords

interpolationnumerical examplefinite elementhierarchical decompositionbivariate Hermite splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items (7)

Scattered data interpolation based upon bivariate recursive polynomials ⋮ A new method for smoothing surfaces and computing Hermite interpolants ⋮ An adaptive B-spline representation of piecewise polynomial functions for multilevel approximation ⋮ Recursive computation of Hermite spherical spline interpolants ⋮ Energy minimization method for scattered data Hermite interpolation ⋮ A recursive construction of Hermite spline interpolants and applications ⋮ A degree by degree recursive construction of Hermite spline interpolants

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the multi-level splitting of finite element spaces
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree \(d\geq 4r+1\)
• \(L^ p-\)approximation durch Reihen nach dem Haar-Orthogonalsystem und dem Faber-Schauder-System
• On dimension and existence of local bases for multivariate spline spaces
• \(C^ 1\)-hierarchical bases
• Multiresolution analysis over triangles, based on quadratic Hermite interpolation
• A simple method for smoothing functions and compressing Hermite data
• A recursive construction of Hermite spline interpolants and applications
• Interpolation polynomials on the triangle
• Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
• Stability of Optimal-Order Approximation by Bivariate Splines over Arbitrary Triangulations
• Locally linearly independent bases for bivariate polynomial spline spaces
• Bivariate spline interpolation with optimal approximation order
• On stable local bases for bivariate polynomial spline spaces

This page was built for publication: Recursive computation of bivariate Hermite spline interpolants