Using simple coordinate logic operators to realize basic morphological operations

We present a methodology for performing morphological operations using coordinate logic ones. Coordinate logic operations are simple and fast because they are logic operations among the corresponding binary values of the image pixels. Coordinate logic (CL) filters are a family of fast non-increasing, non-linear filters, which are based on coordinate logic operations. CL filters exhibit analogous properties to those of the morphological filters but due to their different definition they display slightly different response. This is revoked in this paper by using appropriate image gray level quantization. Based on this approach some fast efficient realizations of morphological filters using CL operators are proposed