Fuzzy type-2 in the task of increasing the reliability of image segmentation
Keywords:low-contrast images, fuzzy methods, visual analysis, membership function, segmentation, fuzzy sets of type-1, fuzzy sets of type-2
To study the macro- and microstructure of alloys, enlarged images of specially prepared samples are used, which leads to increasing of the noise component and de-fects contribution. This requires the usage of image correction techniques to ensure the accuracy of photometry. This paper describes the possibilities of increasing the reliabil-ity of image segmentation and the clarity of identifying the boundaries of objects of in-terest through the usage at the stage of fuzzification the membership functions of type-2. The presented algorithm contains 3 steps. On the first step initial image is prepro-cessed in the next way: at first, the brightness of the initial image is decreased propor-tionally on the base of the power transformation usage; after that background restora-tion and alignment process is performed; after the end of this process the brightness of obtained image is increased proportionally on the base of the power transformation us-age. On the second step of the proposed algorithm the image obtained after prepro-cessing is interpreted as membership function of type-1 and membership function of type-2 is calculated on the base of this image taking into account its brightness charac-teristics. On the last step of the proposed in this paper algorithm the output image is formed on the base of the membership function of type-2. During calculating of the out-put image, we are performing its contrast enhancement. This paper proposes different ways of calculating membership function of type-2 and forming of the resulting image and compares the obtained results. The proposed method of adaptive calculation of the parameters of the transition to the type-2 space provides increased reliability and clari-ty of detection of object boundaries. Experimental results are given on the example of a real image of an electron microscope of an iron alloy sample and show the effectiveness of the proposed approach.
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