M. Charifchefchaouni et D. Schonfeld, ON THE INVERTIBILITY OF THE MORPHOLOGICAL REPRESENTATION OF BINARY IMAGES, IEEE transactions on image processing, 3(6), 1994, pp. 847-849
In this correspondence, we investigate the invertibility of the morpho
logical representation of binary images. A criteria for the invertibil
ity of the morphological representation of binary images is proposed.
Necessary and sufficient conditions for the exact reconstruction of a
binary image from its morphological representation are provided.