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:

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: