Numerical Algorithms

, Volume 2, Issue 2, pp 187–200 | Cite as

A family of Hermite interpolants by bisection algorithms

  • J. L. Merrien


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 andf1 on dyadic numbers and for some values of the parameters,f is in ℓ1 withf1=f′. Examples are provided which show how different the curves can be.

AMS subject classification

41A05 41-04 


Dichotomy interpolation curves 


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

Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1992

Authors and Affiliations

  • J. L. Merrien
    • 1
  1. 1.Laboratoire L.A.N.S.I.N.S.A. de RennesRennes cedexFrance

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