Abstract

This paper proposes a subdivision algorithm for quartic λ-Bezier curves with shape parameter. Firstly, the quartic λ-Bezier 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-Bezier 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-Bezier curves.

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