| Curve and surface design is a very important subject for the theory of function ap-proximation. Trigonometric polynomial plays an important role in application, so it has been concerned by many scholars. In this paper, we use trigonometric polynomial to con-struct1-2order trigonometric Bezier basis function. And1-2order trigonometric Bezier curves are given.2order trigonometric Bezier curve with two parameters is constructed. By changing the value of parameters to change the shape of the curve. Finally, constructed instances of constructed mutability are given.The main work is as follows:1. We construct1order trigonometric Bezier basis functions and two types of2order trigonometric Bezier basis functions. Their properties are analyzed in this paper.2.1-2order trigonometric Bezier curves are constructed and their properties are given.2order trigonometric Bezier curve with two parameters is constructed. We analyze its properties. According to the value range of parameters,2order trigonometric Bezier curve with two parameters is divided into nine types. The relationship between1and2order trigonometric Bezier curves and2order trigonometric Bezier curve with two parameters is discussed and studied in this section.3. Using2order trigonometric Bezier curve with two parameters to accurately denote ellipse, parabola and circle. Algorithms for denoting ellipse and parabola are given.4. Several examples of curve application are given at last. |
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