Cubic spline quasi-interpolants on powell-sabin partitions
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Publication:486715
DOI10.1007/s10543-014-0489-xzbMath1308.41010OpenAlexW2048767740MaRDI QIDQ486715
H. Mraoui, A. Lamnii, M. Lamnii
Publication date: 16 January 2015
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-014-0489-x
polarization identityquasi-interpolationblossomsPowell-Sabin splinesnormalized B-splinessuper spline
Numerical interpolation (65D05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
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Quartic splines on Powell-Sabin triangulations ⋮ \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations ⋮ 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 normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions ⋮ Quasi-interpolation for analysis-suitable T-splines ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming
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