We present a general approach tp produce local schemes for C^1 Hermite interpolation. The constructed interpolant is a parametric curve which is comonotone with the data. We shall study in detail the mixed case where one component is piecewise quadratic, while the other one is cubic. The approximation order is also investigated.
C., M., Sampoli, M.L. (1998). Comonotone Parametric Hermite Interpolation. In Mathematical Methods for Curves and Surfaces II (pp. 343-350). NASHVILLE : Vanderbilt University Press.
Comonotone Parametric Hermite Interpolation
SAMPOLI, MARIA LUCIA
1998-01-01
Abstract
We present a general approach tp produce local schemes for C^1 Hermite interpolation. The constructed interpolant is a parametric curve which is comonotone with the data. We shall study in detail the mixed case where one component is piecewise quadratic, while the other one is cubic. The approximation order is also investigated.
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https://hdl.handle.net/11365/14971
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