On planar polynomial geometric interpolation

DOI10.1016/j.jat.2022.105806OpenAlexW3110247453WikidataQ114164885 ScholiaQ114164885MaRDI QIDQ2088598

Jernej Kozak

Publication date: 6 October 2022

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01049

zbMATH Keywords

existenceapproximation ordergeometric interpolationpolynomial curve

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)

Cites Work

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• Generalization of the Bolzano theorem for simplices
• Geometric Hermite interpolation with maximal order and smoothness
• Geometric Hermite interpolation
• Geometric interpolation by planar cubic polynomial curves
• Four point parabolic interpolation
• Geometric Hermite interpolation by cubic \(G^1\) splines
• High accuracy geometric Hermite interpolation
• Necklaces count polynomial parametric osculants
• On geometric interpolation by planar parametric polynomial curves
• On Geometric Interpolation by Polynomial Curves
• A general framework for high-accuracy parametric interpolation
• A practical guide to splines.

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