\(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations
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Publication:668345
DOI10.1016/j.amc.2015.07.013zbMath1410.65030OpenAlexW1015525500MaRDI QIDQ668345
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.013
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (11)
Quartic splines on Powell-Sabin triangulations ⋮ A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split ⋮ Construction and analysis of cubic Powell-Sabin B-splines ⋮ On stable representations of Bell elements ⋮ Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision ⋮ 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 normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations ⋮ Exact sequences on Powell-Sabin splits ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming
Cites Work
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- Spline Functions on Triangulations
- Finding the smallest triangles containing a given convex polygon
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