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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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