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 B [ f ] , 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: