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.