Filter Design Based on the Theory of the Generalized Morphological Filter with Omnidirectional Structuring Element

The close-opening or open-closing filter based on the morphological filters with the same size structuring element cannot remove all the positive or negative impulse noise effectively. To improve the performance of these two kinds of filter, the generalized close- opening and open-closing filter based on the morphological filter with the different size structuring element are put forward. Based on the generalized morphological filter, this paper suggests a kind of designing project of the filter that applies a new structuring element to the generalized morphological filter. The theoretical analysis and the simulation experiments of the image processing indicate that this kind of filter can not only remove noise effectively but also keep the details of the image sufficiently.