Treffer: MORPHOLOGICAL GRADIENTS BASED ON NEIGHBORHOODCONTROLLED FUZZY ROUGH APPROXIMATIONS: A COMPARATIVE VISUALIZATION STUDY.

Building on the fact that the neighborhood-controlled fuzzy upper and lower rough approximation operators [X. Han, W. Yao, C.-J. Zhou, Topology and its Applications, 2025)] form a pair of extensive and anti-extensive transforms, we introduce new variants of the morphological gradient based on these fuzzy rough approximations. To empirically evaluate their performance, we employ a comparative visualization methodology centered on the superposition of resulting gradient images, allowing for an intuitive and direct comparison of edge detection capabilities and noise sensitivity. For the purpose of this study, we developed a dedicated software framework in the C programming language. Pixel-level image manipulation and visualization are facilitated by the SDL3 library. [ABSTRACT FROM AUTHOR]