An Approach towards Edge Detection and Watershed Segmentation Based on an Interval-Valued Morphological Gradient

The appropriate mathematical framework of mathematical morphology (MM) is given by complete lattices. Recently, the observation that the class of interval valued fuzzy sets constitutes a complete lattice has given r s to an extension of fuzzy MM (FMM) called interval-valued fuzzy mathematical morphology. In contrast to FMM, interval-valued FMM allows us to model uncertainty in the pixel values of a gray-scale image. We have already applied this idea to develop an interval-valued edge detector. In this context, the uncert ainty was due to image capture. In the applications concerning edge detection and segmentation presented in this paper, another type of uncertainty emerges from different results produced by three well-known tomographic image recon-

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