Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions

DOI10.1007/s10444-019-09731-8zbMath1462.65025OpenAlexW2992884695WikidataQ126632869 ScholiaQ126632869MaRDI QIDQ2305564

Sergio López-Ureña, Rosa Donat

Publication date: 11 March 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-019-09731-8

zbMATH Keywords

smoothnessexponential polynomialsreproductionmonotonicity preservationnonlinear subdivision schemes

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by other special function classes (41A30)

Related Items (3)

An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision ⋮ Annihilation operators for exponential spaces in subdivision ⋮ Non-oscillatory butterfly-type interpolation on triangular meshes

Cites Work

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• Approximation order and approximate sum rules in subdivision
• Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
• The PCHIP subdivision scheme
• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• Analysis of some bivariate non-linear interpolatory subdivision schemes
• Stability of nonlinear subdivision and multiscale transforms
• Exponential box splines
• Convexity preserving interpolatory subdivision schemes
• Exponentials reproducing subdivision schemes
• Quasilinear subdivision schemes with applications to ENO interpolation.
• Normal multiresolution approximation of curves
• Analysis of asymptotically equivalent binary subdivision schemes
• A family of non-oscillatory 6-point interpolatory subdivision schemes
• Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• A General Proximity Analysis of Nonlinear Subdivision Schemes
• Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity
• Stationary subdivision

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