On interpolatory subdivision symbol formulation and parameter convergence intervals

DOI10.1016/J.CAM.2018.06.004OpenAlexW2808597041WikidataQ129656320 ScholiaQ129656320MaRDI QIDQ1713117

Mpfareleni Rejoyce Gavhi-Molefe, Johan M. de Villiers

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.004

zbMATH Keywords

interpolationparameter convergencesubdivisionrefinable functions

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes

Cites Work

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• Polynomial reproduction by symmetric subdivision schemes
• \(C^1\)-continuity of the generalized four-point scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Interpolation through an iterative scheme
• Subdivision schemes in \(L_ p\) spaces
• Interpolatory subdivision schemes and wavelets
• Analysis of uniform binary subdivision schemes for curve design
• Stationary subdivision
• Ten Lectures on Wavelets

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