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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:
- Ramshaw, Lyle (1987). "Blossoming: A Connect-the-Dots Approach to Splines". Digital Systems Research Center. Retrieved 2006-06-28.[dead link]
- Casteljau, Paul de Faget de (1992). "POLynomials, POLar Forms, and InterPOLation". In Larry L. Schumaker; Tom Lyche. Mathematical methods in computer aided geometric design II. Academic Press Professional, Inc. ISBN 978-0-12-460510-7.
- Farin, Gerald (2001). Curves and Surfaces for CAGD: A Practical Guide (fifth ed.). Morgan Kaufmann. ISBN 1-55860-737-4.
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