A Class of Modifiable G~1-Continuous Piecewise Cubic Polynomial Curve

A class of modifiable G~1-continuous piecewise cubic polynomial curves and two local control parameters on every single piece are presented in this paper. By analyzing the relationships between the curves mentioned above and the cubic Bezier curves,the geometric significance of local control parameters is given and the shape of the curves can be flexibly and easily changed by changing the values of the local control parameters.Finally, it popularizes the curves to the case of cubic polynomial surfaces and provides us rations of figures and their usage.