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High-Order Parametric Polynomial Approximation of Conic Sections

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Constructive Approximation Aims and scope

Abstract

In this paper, a particular shape preserving parametric polynomial approximation of conic sections is studied. The approach is based upon the parametric approximation of implicitly defined planar curves. Polynomial approximants derived are given in a closed form and provide the highest possible approximation order.

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Authors and Affiliations

  1. FMF and IMFM, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Gašper Jaklič, Jernej Kozak, Marjeta Krajnc & Emil Žagar

  2. University of Primorska, Muzejski trg 2, 6000, Koper, Slovenia

    Gašper Jaklič

  3. FAMNIT and IAM, University of Primorska, Muzejski trg 2, 6000, Koper, Slovenia

    Vito Vitrih

Authors
  1. Gašper Jaklič
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  2. Jernej Kozak
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  3. Marjeta Krajnc
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  4. Vito Vitrih
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  5. Emil Žagar
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Corresponding author

Correspondence to Gašper Jaklič.

Additional information

Communicated by Wolfgang Dahmen.

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Jaklič, G., Kozak, J., Krajnc, M. et al. High-Order Parametric Polynomial Approximation of Conic Sections. Constr Approx 38, 1–18 (2013). https://doi.org/10.1007/s00365-013-9189-z

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  • DOI: https://doi.org/10.1007/s00365-013-9189-z

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