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On the convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces.
- Source :
-
Journal of Approximation Theory . Jun2014, Vol. 182, p68-82. 15p. - Publication Year :
- 2014
-
Abstract
- In this paper, we derive the uniform convergence of approximating tensor-product rational Bézier surfaces using tensor-product Bézier surfaces. Our main result is that arbitrary given order derivative vectors of approximating tensor-product Bézier surface sequence converge uniformly to those of the original tensor-product rational Bézier surface as the elevated degree tends to infinity, with inequality skills and infinitesimal analysis techniques. The approximating tensor-product Bézier surface sequence has the same degree and new control points of the degree-elevated tensor-product rational Bézier surfaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219045
- Volume :
- 182
- Database :
- Academic Search Index
- Journal :
- Journal of Approximation Theory
- Publication Type :
- Academic Journal
- Accession number :
- 95673205
- Full Text :
- https://doi.org/10.1016/j.jat.2014.03.010