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Geometric interpolation by planar cubic G 1 splines

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Abstract

In this paper, geometric interpolation by G 1 cubic spline is studied. A wide class of sufficient conditions that admit a G 1 cubic spline interpolant is determined. In particular, convex data as well as data with inflection points are included. The existence requirements are based upon geometric properties of data entirely, and can be easily verified in advance. The algorithm that carries out the verification is added.

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Author information

Authors and Affiliations

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

    Jernej Kozak

  2. IMFM, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Marjetka Krajnc

Authors
  1. Jernej Kozak
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  2. Marjetka Krajnc
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Correspondence to Marjetka Krajnc.

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AMS subject classification (2000)

65D05, 65D07, 65D17

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Kozak, J., Krajnc, M. Geometric interpolation by planar cubic G 1 splines . Bit Numer Math 47, 547–563 (2007). https://doi.org/10.1007/s10543-007-0133-0

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  • DOI: https://doi.org/10.1007/s10543-007-0133-0

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