| In this paper,we make a mathematical mode by using power mean and Bezier curve,provide family of power mean Bezier curve. At first studies family of power mean Bernstein function. Definite family of power mean Bernstein function, illustrate the monotone properties of family of power mean Bernstein curve and the relation among of the same degree . Gain the approximation properties. Mainly, Definite family of power mean Bezier curve, studies some properties of family of power mean Bezier curve .Show the degree elevation,degree reduction ,de Castljau algorithm, decomposition theory of power mean Bezier curve. |
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