Blending Trigonometric Curve and Bezier Curve with Multi-shape Parameters

摘要

In this paper, we will discuss the blending curve trigonometric Bezier curve and Bezier curve with shape control parameters. This scheme is used to construct a curve that allows an alteration of the shape of the curve by changing the values of parameters. So that its shape is adjusted totally approach to the given polygon from both sides. The effect of the parameters on the curve is analyzed. Based on the conditions, the continuity imposed when joining two curves can make the T Bezier-like curves a good candidate. In the same time, we give blending two T Bezier-like curves in order to construct, C-sliape and S-shape with parameter and geometric continuity. This curve has high applied value in the design practice.