Numerical Algorithms

, Volume 2, Issue 2, pp 187-200

First online:

A family of Hermite interpolants by bisection algorithms

  • J. L. MerrienAffiliated withLaboratoire L.A.N.S., I.N.S.A. de Rennes

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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.

AMS subject classification

41A05 41-04


Dichotomy interpolation curves