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A note on blossoming
Authors:E. T. Y. Lee
Affiliation:

Boeing Commercial Airplanes, P.O. Box 3707, M/S 6E-27, Seattle, WA 98124, U.S.A.

Abstract:The fundamental proposition of blossoming, which expresses the B-spline control points as the blossom values of certain polynomial segments of the spline, is shown to be a simple consequence of the de Boor-Fix formula. This establishes a short bridge between the classical theory (Curry-Schoenberg, de Boor,…) and the blossoming point of view.
Keywords:B-splines   Bézier curves   blossoms   de Boor-Fix formula   elementary symmetric polynomials
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