Normalized trivariate B-splines on Worsey-Piper split and quasi-interpolants

DOI10.1007/s10543-011-0348-yzbMath1285.65007OpenAlexW2041062263MaRDI QIDQ766229

Driss Sbibih, Ahmed Tijini, Abdelhafid Serghini

Publication date: 23 March 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-011-0348-y

zbMATH Keywords

quasi-interpolantnormalized quadratic B-splinesWorsey-Piper partition

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25)

Related Items (14)

A new B-spline representation for cubic splines over Powell-Sabin triangulations ⋮ A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation ⋮ Construction and analysis of cubic Powell-Sabin B-splines ⋮ Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split ⋮ Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ Cubic spline quasi-interpolants on powell-sabin partitions ⋮ Relationship between quality of basis for surface approximation and the effect of applying preconditioning strategies to their resulting linear systems ⋮ Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines ⋮ New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant ⋮ On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ A family of smooth quasi-interpolants defined over Powell-Sabin triangulations

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