Blossom (functional)

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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:

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