Abstract
One of the puzzlingly hard problems in Computer Aided Geometric Design and Approximation Theory is that of finding the dimension of the spline space of Cr piecewise degree n polynomials over a 2D triangulation Ω. We denote such spaces by Snr ( Ω ). In this note, we restrict Ω to have a special structure, namely to be unconstricted. This will allow for several exact dimension formulas.
Original language | English (US) |
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Pages (from-to) | 320-327 |
Number of pages | 8 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 192 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1 2006 |
Keywords
- Bernstein-Bézier form
- Bivariate spline spaces
- Dimensions
- Minimal determining sets
- Unconstricted triangulations
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics