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A family of Hermite interpolants by bisection algorithms

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Abstract

A two point subdivision scheme with two parameters is proposed to draw curves corresponding to functions that satisfy Hermite conditions on [a, b]. We build two functionsf andf 1 on dyadic numbers and for some values of the parameters,f is in ℓ1 withf 1=f′. Examples are provided which show how different the curves can be.

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Reference

  1. Dyn, Levin and Gregory, A 4-point interpolatory subdivision scheme for curve design, CAGD 4 (1987) 257–268.

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Authors and Affiliations

  1. Laboratoire L.A.N.S., I.N.S.A. de Rennes, 20 Avenue des Buttes de Coësmes, 35043, Rennes cedex, France

    J. L. Merrien

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  1. J. L. Merrien
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Communicated by P.J. Laurent

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Merrien, J.L. A family of Hermite interpolants by bisection algorithms. Numer Algor 2, 187–200 (1992). https://doi.org/10.1007/BF02145385

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  • DOI: https://doi.org/10.1007/BF02145385

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