This article extracts α5n's expressions when α=0, 1,2,3,4,∞ on the n=3 situation, then gives, 2B3's matrix transformation opposite to Bernstein polynomial. Finally this paper proposes bow to make use of these operators to conduct design of polynomial curve satisfying certain given conditions.%本文就n=3的情况,求出了α=0,1,2,3,4,∞时αBα表达式,随后给出了2B3的相对于Bernstein多项式的矩阵变换,最后提出了如何利用这种算子来完成满足莱些给定条件的多项式曲线的设计.
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