Abstract: As extension of six-point subdivision schemes with three parameters，a class of six-point subdivision schemes with four parameters is presented for constructing smooth interpolating or approximating subdivision curves.The sufficient condition of [C3]continuity properties are proposed to achieve [C3]continuity by choosing four parameters appropriately.Some computing examples are also given to show efficiency of the proposed subdivision scheme.

Key words: subdivision schemes, generating polynomial, uniform convergence, Ck continuity

摘要： 提出一类包含4个参数的六点细分法，它以双参数四点法和三参数六点法作为特殊情况，可以构造光滑插值曲线和光滑逼近曲线，并且可以通过调整4个参数的取值使得曲线达到C4连续。讨论了细分参数对细分法的收敛性及连续性的影响，给出了细分法Ck连续性的充分条件及一些数值算例。

关键词: 细分法, 生成多项式, 一致收敛性, Ck连续性