以数学形态学为基础的形态滤波器是一种非线性滤波器，基于基本的形态变换—腐蚀和膨胀，采用大小不同的结构元素，提出了一类新的形态滤波器——广义形态开和广义形态闭滤波器，这类滤波器具有平移不变性、递增性、对偶性等重要性质。为了验证广义形态开、闭滤波器的有效性，针对不同的噪声，使用这类滤波器对其进行滤波，滤波结果表明广义形态开、闭滤波器在抑制噪声的同时能够较好地保持细节，而且运行的时间将小于形态开闭、闭开、广义形态开-闭、闭-开滤波器运行的时间，形态滤波器算法简单便于并行实时处理。

Mathematical filters based on mathematical morphology is a non-linear filter. Based on the erosion and dilation operations a class of generalized open and close morphological filters is constructed by using different structuring elements in this paper. These filters possess some important properties such as translation invariance,duality,increasing and so on. In order to verify its effectiveness，we simulate against different noise with generalized open and close morphological filters. The results of computer simulation show that these filters can preserve the geometrical features and edges of the image when they suppress noise in the image and their speed is faster than the traditional morphological filters. They possess calculation simplicity and easy to be real-time processed in parallel.