The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form

The Theorems on the B-B Polynomials Defined on a Simplex in the Blossoming Form

Year:    1996

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 1 : pp. 64–70

Abstract

In this paper, an explicit expression of the blossom by the means of the B-form of B-B polynomial defined on a simplex is given. With its help, new but very short and simple blossom proofs of the most important theorems on B-B polynomials are derived, such as the degree elevation formula, the subdivision and the change of the underlying simplex procedure, the control points convergence property, the Marsden's identity.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JCM-9220

Journal of Computational Mathematics, Vol. 14 (1996), Iss. 1 : pp. 64–70

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords: