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  The dimension of $C^1$ splines of arbitrary degree on a tetrahedral partition

Hangelbroek, T., Nürnberger, G., Rössl, C., Seidel, H.-P., & Zeilfelder, F.(2003). The dimension of $C^1$ splines of arbitrary degree on a tetrahedral partition (MPI-I-2003-4-005). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-6887-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-7A41-6
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 Creators:
Hangelbroek, Thomas1, Author           
Nürnberger, Günther2, Author
Rössl, Christian1, Author           
Seidel, Hans-Peter1, Author           
Zeilfelder, Frank1, Author           
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1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2External Organizations, ou_persistent22              

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 Abstract: We consider the linear space of piecewise polynomials in three variables which are globally smooth, i.e., trivariate $C^1$ splines. The splines are defined on a uniform tetrahedral partition $\Delta$, which is a natural generalization of the four-directional mesh. By using Bernstein-B{\´e}zier techniques, we establish formulae for the dimension of the $C^1$ splines of arbitrary degree.

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Language(s): eng - English
 Dates: 2003
 Publication Status: Issued
 Pages: 39 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: URI: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2003-4-005
Report Nr.: MPI-I-2003-4-005
BibTex Citekey: HangelbroekNürnbergerRoesslSeidelZeilfelder2003
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Title: Research Report / Max-Planck-Institut für Informatik
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