A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations

DOI10.1007/s10543-015-0600-yzbMath1365.41007OpenAlexW2275143114MaRDI QIDQ727893

Jan Grošelj

Publication date: 21 December 2016

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-015-0600-y

zbMATH Keywords

macro-elementsnormalized B-splinessmooth splines on Powell-Sabin triangulationssuper splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (15)

Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM ⋮ A finite element framework based on bivariate simplex splines on triangle configurations ⋮ Construction and analysis of cubic Powell-Sabin B-splines ⋮ A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations ⋮ On stable representations of Bell elements ⋮ Three recipes for quasi-interpolation with cubic Powell-Sabin splines ⋮ A geometric characterization of Powell-Sabin triangulations allowing the construction of \(C^2\) quartic splines ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime ⋮ Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis ⋮ A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation ⋮ A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming ⋮ Construction of \(C^2\) cubic splines on arbitrary triangulations ⋮ Simplex-splines on the Clough-Tocher split with arbitrary smoothness

Uses Software

• FITPACK

Cites Work

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