Blossom (functional)
In numerical analysis, a blossom is a functional that can be applied to any polynomial, but is mostly used for Bézier and spline curves and surfaces.
The blossom of a polynomial ƒ, often denoted is completely characterised by the three properties:
- It is a symmetric function of its arguments:
- (where π is any permutation of its arguments).
- It is affine in each of its arguments:
- It satisfies the diagonal property:
References
- Ramshaw, Lyle (1987). "Blossoming: A Connect-the-Dots Approach to Splines". Digital Systems Research Center. Retrieved 2006-06-28.
- Casteljau, Paul de Faget de (1992). Larry L. Schumaker; Tom Lyche, eds. "Mathematical methods in computer aided geometric design II". Academic Press Professional, Inc. ISBN 978-0-1-2460510-7.
|chapter=
ignored (help) - Farin, Gerald (2001). Curves and Surfaces for CAGD: A Practical Guide (fifth ed.). Morgan Kaufmann. ISBN 1-55860-737-4.
This article is issued from Wikipedia - version of the Thursday, March 31, 2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.