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A New Kind of Trivariate C¹ Spline Space  (Make Corrections)  
Ming-Jun Lai, A. LeMéhauté



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Abstract: We propose a construction of trivariate C 1 spline functions over a special tetrahedron partition and compare our construction with other known constructions of C 1 spline functions which are summarized in this paper. We improve the Alfeld construction of C 1 quintic spline spaces. For those polygonal domains in R 3 which admit the special tetrahedron partition, our construction provides a more efficient and effective tool for applications. For other polygonal domains, our construction... (Update)

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BibTeX entry:   (Update)

@misc{ lai-new,
  author = "Ming-Jun Lai and A. LeMéhauté",
  title = "A New Kind of Trivariate C¹ Spline Space",
  url = "citeseer.ist.psu.edu/468908.html" }
Citations (may not include all citations):
23   The dimension of bivariate spline spaces of smoothness r for.. (context) - Alfeld, Schumaker - 1987
14   A trivariate Clough-Tocher scheme for tetrahedral data (context) - Alfeld - 1984
11   Bornes sup'erieures et inf'erieures dans l'analyse matriciel.. (context) - Sander - 1964
7   Bending and stretching of plates (context) - de Veubeke - 1965
2   Interpolation et approximation par des fonctions polynomiale.. (context) - Le Mehaut'e - 1984
1   Geometric Design (context) - Carl, basics - 1987
1   the construction of bivariate and trivariate vertex splines .. (context) - Lai - 1989
1   nGamma dimensional Clough Tocher interpolant (context) - Farin, dimensional et al. - 1987

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