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On bivariate super vertex splines

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Abstract

A vertex spline basis of the super-spline subspace

$$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{S} _d^r : = S_d^{r,r + \left\lfloor {(d - 2r - 1)/2} \right\rfloor } (\Delta )$$

of Sd r(Δ), where d≥3r+2 and Δ is an arbitrary triangulation inR 2, is constructed, so that the full approximation order ofd+1 can be achieved via an approximation formula using this basis.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, 77843, College Station, Texas, USA

    Charles K. Chui

  2. Department of Mathematics, University of Utah, 84112, Salt Lake City, Utah, USA

    Mingjun Lai

Authors
  1. Charles K. Chui
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  2. Mingjun Lai
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Additional information

Communicated by Wolfgang Dahmen.AMS classification: 41A15, 41A25, 41A63.

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Chui, C.K., Lai, M. On bivariate super vertex splines. Constr. Approx 6, 399–419 (1990). https://doi.org/10.1007/BF01888272

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  • DOI: https://doi.org/10.1007/BF01888272

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