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A C 1 Multivariate Clough–Tocher Interpolant

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Abstract

We show that in dimensions four and higher, to insure a smooth interpolant, additional geometric constraints must be imposed on the generalized Clough–Tocher split introduced in Worsey and Farin (Constr. Approx. 3:99–110, [1987]).

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Authors and Affiliations

  1. Department of Mathematics, Towson University, Towson, MD, 21252, USA

    T. Sorokina

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  1. T. Sorokina
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Correspondence to T. Sorokina.

Additional information

Communicated by Larry L. Schumaker.

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Sorokina, T. A C 1 Multivariate Clough–Tocher Interpolant. Constr Approx 29, 41–59 (2009). https://doi.org/10.1007/s00365-008-9018-y

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  • DOI: https://doi.org/10.1007/s00365-008-9018-y

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