2010•Journal of Zhejiang University(Science Edition)Requires access

Bézier curves with multi-shape-parameters.

RI Kwang-un

Abstract

Based on the degree elevation of Bezier curves,the Bezier curves with multi-shape-parameters are constructed,which have most properties of Bezier curves.Without changing the control points,the shape of the constructed curve can be adjusted by changing the value of shape parameters.Degree-n Bezier curve is a special case of degree-n Bezier curves with multi-shape-parameters.Multi-shape-parameters can make curves change more flexibly.

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Key concepts: Bézier curve, Degree (music), Mathematics, Shape parameter, Family of curves, Geometry, Curve fitting, Statistics