关键词: Bernstein基函数, Bezier曲线, 拼接

Abstract: This paper extends the representation of quartic Bezier curve called quasi quartic bezier curve by introducing Bernstein basis function with three shape parameters and discusses the basis properties and the inner relations between quasi quartic bezier curves and quintic bezier curves. Taking different values of the shape parameters, shape of the curves can be modified easily. Without adjusting the control points, it can realize G2 merging of quasi quartic bezier curves by changing the values of the shape parameters locally which can better meet the practical applications. Finally, some specific examples are provided.

Key words: Bernstein basis functions, Bezier curves, continuity