Erosion and dilation as solutions to regularization problem
Mohamed A. Khabou, Paul Gader · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
In this paper, we show that gray scale dilation, erosion and consequently hit-miss transform, are solutions to a regularization problem. The theory is an extension to the fact that maximum and minimum operators are Green's functions. These morphological operators are used successfully in a morphological shared-weight neural network designed for automatic target recognition and handwritten digit recognition.