Subdivision Algorithm of Quartic λ-Bézier Curves with Shape Parameters

This paper proposes a subdivision algorithm for quartic λ-Bézier curves with shape parameter. Firstly, the quartic λ-Bézier curves are converted to quartic traditional Bezier curves, then we solve the control points of the sub-curved curve after the subdivision by using the traditional Bezier curves so that it can remain shape unchanged before and after subdivision, that is, the expression of the curve is the same. Finally, it can be converted to the explicit combination expression of quartic λ-Bézier curves control points. The examples show that the proposed method is effective and easy to implement, which greatly enhances the ability to constructing complex surface by using quartic generalized λ-Bézier curves.