Abstract
The morphological gradient is a widely used edge detector for grey-level images in many applications. In this communication, we generalize the definition of the morphological gradient of the fuzzy mathematical morphology based on uninorms. Concretely, instead of defining the morphological gradient from the usual definitions of fuzzy dilation and erosion, where the minimum and the maximum are used, we define it from the generalized fuzzy dilation and erosion, where we consider a general t-norm and t-conorm, respectively. Once the generalized morphological gradient is defined, we determine which t-norm and t-conorm have to be considered in order to obtain a high performance edge detector. Some t-norms and their dual t-conorms are taken into account and the experimental results conclude that the t-norms of the Schweizer-Sklar family generate a morphological gradient which outperforms notably the classical morphological gradient based on uninorms.
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González-Hidalgo, M., Massanet, S., Mir, A., Ruiz-Aguilera, D. (2015). On the Generalization of the Uninorm Morphological Gradient. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2015. Lecture Notes in Computer Science(), vol 9095. Springer, Cham. https://doi.org/10.1007/978-3-319-19222-2_37
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DOI: https://doi.org/10.1007/978-3-319-19222-2_37
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