Analysis of the Gibbs phenomenon in stationary subdivision schemes

DOI10.1016/J.AML.2017.08.014zbMath1376.41003OpenAlexW2753519304MaRDI QIDQ1680031

Peng Zhang

Publication date: 22 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.014

zbMATH Keywords

binary subdivisionB-spline subdivision schemesDeslauriers-Dubuc subdivision schemesnon-negative masks

Mathematics Subject Classification ID

Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (7)

Multivariate approximation at fake nodes ⋮ A regularization-correction approach for adapting subdivision schemes to the presence of discontinuities ⋮ Polynomial interpolation via mapped bases without resampling ⋮ A new paradigm to design a class of combined ternary subdivision schemes ⋮ Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form ⋮ Gibbs phenomenon for \(p\)-ary subdivision schemes ⋮ Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena

Cites Work

• A new three-point approximating \(C^{2}\) subdivision scheme
• A \(C^6\) approximating subdivision scheme
• Symmetric iterative interpolation processes
• Construction of \(m\)-point binary approximating subdivision schemes
• On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards $C^{s}$ functions with $s>1$
• Subdivision schemes in geometric modelling
• On the Gibbs Phenomenon and Its Resolution
• Unnamed Item

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