Artificial neural net learns the Sobel operators (and more)
Scott W. Weller · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1991
Well-known techniques for image segmentation and edge detection involve the Sobel operators. A single slab function link extended neural net trained using the back propagation delta rule to perform edge detection without a priori knowledge of any particular detection algorithm is described.