2012•Journal of Liaoning Normal UniversityRequires access

Second-order trigonometric Bézier polynomial curves with parameters

Ying Dong

Abstract

Two types of second-order trigonometric Bezier polynomial basis function were analyzed and constructed.By transforming control points to get new control points,second-order trigonometric Bezier polynomial curves with two parameters can be constructed.The relationship between second-order trigonometric Bezier polynomial curves with parameters and two types of second-order trigonometric Bezier polynomial curves have been studied.In essence,they are constructed with 4 new control points got in terms of origenal 3 control points.When the parameters number change,the positions of the 4 new control points would be changed dependently.Thus the shape of the curve can be changed to satisfy the given condition.

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Key concepts: Bézier curve, Trigonometric polynomial, Mathematics, Trigonometric functions, Polynomial, Trigonometry, Order (exchange), Function (biology)