Generalized Bernstein Polynomials and Bézier Curves: An Application of Umbral Calculus to Computer Aided Geometric Design

Generalized Bernstein Polynomials and Bézier Curves: An Application of Umbral Calculus to Computer Aided Geometric Design
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广义伯恩斯坦多项式和贝塞尔曲线:本影演算在计算机辅助几何设计中的应用

DOI:
10.1006/aama.2001.0726
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发表时间:
2001
期刊:
Adv. Appl. Math.
影响因子:
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通讯作者:
Rudolf Winkel
Rudolf Winkel
中科院分区:
--
文献类型:
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作者:
Rudolf Winkel

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利用阴影演算推广了伯恩斯坦多项式和Bezier曲线。这为计算机辅助几何设计的这些基本对象增加了极大的几何灵活性,同时保留了它们的基本属性。
The umbral calculus is used to generalize Bernstein polynomials and Bezier curves. This adds great geometric flexibility to these fundamental objects of computer aided geometric design while retaining their basic properties.