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Interpolants d'Hermite obtenus par subdivision

Jean-Louis Merrien — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

We propose a two point subdivision scheme with parameters to draw curves that satisfy Hermite conditions at both ends of . We build three functions and on dyadic numbers and, using infinite products of matrices, we prove that, under assumptions on the parameters, these functions can be extended by continuity on , with and .

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