C~3-Continuous Shape Preserving Segmented Quadratic Trigonometric Polynomial Bézier Interpolation Curves

Based on quadratic trigonometric polynomial Bezier curves,the proposed approach of inserting two new control points between each two neighboring date points can make interpolated quadratic trigonometric polynomial Bezier curves.The curves are not only convexity-preserving,but also C3-continuous.At the same time,the shape of the curves can be modified locally by changing the parameters.Finally,the algorithm and two numerical examples are given.