Quasi-interpolation by quadratic \(C^{1}\)-splines on truncated octahedral partitions

DOI10.1016/j.cagd.2009.04.002zbMath1205.65053OpenAlexW2019537811MaRDI QIDQ625233

M. Rhein, T. Kalbe

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.04.002

zbMATH Keywords

visualizationapproximation ordertrivariate splinesgridded volume datapiecewise quadratic polynomials

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split ⋮ On the construction of trivariate near-best quasi-interpolants based on \(C^2\) quartic splines on type-6 tetrahedral partitions

Cites Work

• A new kind of trivariate \(C^1\) macro-element
• \(C^1\) quintic splines on type-4 tetrahedral partitions
• Dimension of \(C^1\)-splines on type-6 tetrahedral partitions
• A multivariate Powell-Sabin interpolant
• A \(C^1\) quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions
• An \(n\)-dimensional Clough-Tocher interpolant
• A trivariate Powell-Sabin interpolant
• Polynomial approximation on tetrahedrons in the finite element method
• Spline approximation by quasiinterpolants
• Quasi-interpolation by quadratic piecewise polynomials in three variables
• Local quasi-interpolation by cubic C1 splines on type-6 tetrahedral partitions
• The Structure of C1 Spline Spaces on Freudenthal Partitions
• Spline Functions on Triangulations

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