Pyramid algorithms for barycentric rational interpolation

DOI10.1016/j.cagd.2015.12.004zbMath1417.65060OpenAlexW2232004698MaRDI QIDQ1632398

Scott Schaefer, Kai Hormann

Publication date: 14 December 2018

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2015.12.004

zbMATH Keywords

barycentric rational interpolationNeville's algorithm

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (5)

An iterative approach to barycentric rational Hermite interpolation ⋮ Repeated local operations for \(m\)-ary \(2N\)-point Dubuc-Deslauriers subdivision schemes ⋮ On Kosloff Tal-Ezer least-squares quadrature formulas ⋮ A generalization of Floater-Hormann interpolants ⋮ On the numerical stability of linear barycentric rational interpolation

Uses Software

• ALGLIB

Cites Work

• Barycentric rational interpolation with no poles and high rates of approximation

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