Morphological Image Processi̇ng with Fuzzy Logic

In this paper, fuzzy morpuhological image processing is explained and reviewed. Based on the mathematical morphology rules, fuzzy sets and fuzzy logic theorem fuzzy morphology operations are defined. In general mathematical morphology operation definitions are similar structures set theory and set operations definitions. For this reason fuzzy set theory is easly applied to the mathematical morphology. Fuzzy morphology operations are defined and implemented in two steps. Initial step is the fuzzification process which are constructed over the fuzzy membership functions. Second step is the realization process of the fuzzification process via the alpha cuts of the fuzzy membership functions. With the help of this theorem image processing techniques gain many opportunities for different operations. Since the gray scale images are discrete structures which have 1 and 0 sets, fuzzification process is a good application for transforming the discrete set to the fuzzy set. In this study a gray scale image is fuzzified according to the SAKAWA’s and YUMINE’s fuzzy membership functions. Basic mathematical morphology operations which are “EROSION” and “DILATION” implemented and inspected via the fuzzy membership functions alpha cuts.