An Approximation Method of Bézier Curve | Zendy

Zhi Wu | Zendy; Chu yi Song | Zendy; De xi Bao | Zendy

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An Approximation Method of Bézier Curve

Author(s) -

Zhi Wu,

Chu yi Song,

De xi Bao

Publication year - 2017

Publication title -

computer and information science

Language(s) - English

Resource type - Journals

eISSN - 1913-8997

pISSN - 1913-8989

DOI - 10.5539/cis.v10n4p67

Subject(s) - base (topology) , norm (philosophy) , order (exchange) , function (biology) , mathematics , bézier curve , banach space , computer science , linear approximation , mathematical optimization , mathematical analysis , geometry , nonlinear system , physics , finance , quantum mechanics , evolutionary biology , political science , law , economics , biology

It is proved that the linear space constructed by power base is a banach space under 2-norm by using approximation method. For the Bezier curve--the elements in banach space, the linear combination of the low-order S power base is used to approximate optimal the high-order Bernstein base function. The original Bezier curve is instituted by the linear combination of low-order S power base and the optimal approximation element of the original Bezier curve is obtained.

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