Gregory-Qu算法与Hermite细分曲线构造法的比较

Comparison between Gregory-Qu Algorithm and Hermite Interpolatory Subdivision Scheme

摘要: 首先分别介绍了Gregory-Qu算法和Hermite细分曲线构造法的细分规则,以及各自生成C¹连续曲线的条件范围.通过对两种算法的比较得出:定常Gregory-Qu算法是定常Hermite细分算法的一个特例.Hermite细分曲线构造法不仅有更弱的C¹连续性的条件,而且生成C¹连续性光滑曲线的细分取点规则更加灵活.

Abstract: The subdivision rules of Gregory-Qu algorithm and Hermite interpolatory subdivision scheme,including the conditions of C¹ continuity,are presented.Analysing the two schemes,we conclude that stationary Gregory-Qu algorithm is a special case of stationary Hermite interpolatory subdivision.And Hermite interpolatory subdivision scheme not only has the weaker conditions of C¹ continuity,but also generates the limit curve more flexibly.