在最优层叠滤波器设计中引入全方位结构元，定义了一类全方位结构元约束下的最优二维层叠滤波器。理论分析和图象处理仿真实验表明，该类滤波器既能够充分保留图象信号微细节信息，又可在无须噪声和输入信号先验统计知识的前提下，实现MAE和MSE准则下最优。

A class of optimal 2 D stack filters based on omnidirectional structural elements constraints are proposed by defining omnidirectional structural elements in optimal stack filter design. Theory analyses and simulation experiments have shown that the class of filters are not only effective on preservation of image detail as soon as filtering noise, but also optimal under MAE and MSE criteria without prior statistical knowledge about noise and input signal.