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Bézier curves with shape parameter. (Chinese. English summary) Zbl 1096.65007

Summary: A class of blending functions of degree \(n+1(n\geq 1)\) with shape parameter is presented. It is an extension of the degree \(n\) Bézier curves basis functions. Based on the blending functions, a method of generating piecewise polynomial curves with a shape parameter is given. The properties of the curves and its blending functions are discussed. By changing the shape parameter value the shape of the constructed curves can be adjusted. With the elevation of degree of blending functions, the feasible range of the shape parameter value is extended.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
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