Cubic Trigonometric Bézier Curves And Surfaces With Multi-shape-parameters

This thesis is composed of six chapters.The cubic C-curve presented by Zhang Jiwen is introduced in the first chapter. The second chapter is about high order C-curve presented by Chen Qinyu and Wang Guozhao. In the third and fourth chapters, quadratic and cubic trigonometric polynomial curves presented by Han Xuli are discussed. Four curves aforesaid share the same feature, that is, they all have a shape parameter, through changing of which the shape of the curve can be modified totally.In the fifth chapter, the author presents the CT-Bezier curve ( Cubic Trigonometric Bezier Curve) with two shape parameters, whose shape can be modified totally or locally. The connection of two pieces of CT-Bezier curves and the representation of conic curves are also discussed in this chapter.In the last, the CT-Bezier tensor product surface with four shape parameters is proposed. And the changing of surface's shape is illustrated with examples.