Local cardinal interpolation by \(C^2\) cubic B2-splines with a tunable shape parameter

DOI10.1016/j.aml.2019.02.017zbMath1411.65029OpenAlexW2915881993MaRDI QIDQ1739468

Lucia Romani

Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.017

zbMATH Keywords

splinessubdivisioncardinal interpolationlocalityshape parameter

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (3)

Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision ⋮ Dual univariate interpolatory subdivision of every arity: algebraic characterization and construction ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions

Cites Work

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• A general framework for the construction of piecewise-polynomial local interpolants of minimum degree
• Compactly supported fundamental functions for spline interpolation
• Convexity preserving interpolatory subdivision with conic precision
• Cardinal exponential splines: part I - theory and filtering algorithms

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