On interpolatory subdivision from approximating subdivision scheme

DOI10.1016/J.AMC.2013.06.025zbMath1329.65043OpenAlexW1981603854MaRDI QIDQ902513

Wanfeng Qi, Zhong-xuan Luo

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.025

zbMATH Keywords

polynomial reproductionapproximating subdivisioninterpolatory subdivisionsubdivision maskpolynomial generation

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (11)

Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme ⋮ Non-uniform Doo-Sabin subdivision surface via eigen polygon ⋮ Non-uniform interpolatory subdivision surface ⋮ On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ A combined approximating and interpolating ternary 4-point subdivision scheme ⋮ Six-point subdivision schemes with cubic precision ⋮ A non-stationary combined subdivision scheme generating exponential polynomials ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ A family of binary univariate nonstationary quasi-interpolatory subdivision reproducing exponential polynomials ⋮ On the application of Lehmer means in signal and image processing

Cites Work

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• Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
• From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks
• Pseudo-splines, wavelets and framelets
• A unified framework for interpolating and approximating univariate subdivision
• Polynomial reproduction by symmetric subdivision schemes
• Symmetric iterative interpolation processes
• Triangular \(\sqrt 3\)-subdivision schemes: The regular case
• Polynomial reproduction for univariate subdivision schemes of any arity
• From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
• Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes

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