【摘要】 文章借助反向构造和倍乘平滑因子操作提出一种双参数四重细分法，运用生成多项式推导证明该四重细分方法的连续性，求解出满足C~0～C~3连续性的具体参数取值区间。该文通过数值实例分析各参数对形成曲线的影响，用动态的参数迭代过程描述曲线生成的变化细节。更多还原

【Abstract】 A quaternary subdivision scheme with two parameters is proposed by using reverse construction and multiplying smoothing factor. The continuity of this quaternary subdivision scheme is analyzed by generator polynomial. The specific parameter value intervals satisfying C~0-C~3 continuity are provided. Numerical examples demonstrate the influence of each parameter on the curve formation, and the dynamic parameter iteration process describes the change details of the curve generation.更多还原