title: Comments on "On the invertibility of morphological representation of binary images" [and reply].
abstract: The authors comments that Charif-Chefchaouni and Schonfeld (see ibid., vol.3, no.6, p.847, 1994) investigated the invertibility of a morphological representation of binary images and determined the necessary and sufficient conditions for its inverse. The authors show that one of the derived necessary conditions is not valid. A counterexample is given to illustrate our observations. Charif-Chefchaouni and Schonfeld reply that the new sufficient condition is proposed for the invertibility of the morphological image representation. A modification of its inverse is subsequently used to derive a new necessary condition for the invertibility of the morphological image representation. A composition of these conditions is finally used to provide a new necessary and sufficient condition under some restrictions for the invertibility of the morphological image representation. These necessary and sufficient conditions form a revision of one of the necessary conditions for the invertibility of the morphological image representation stated in the original paper.
authors.affiliation: Adv. Imaging Res. Lab., Kodak Health Imaging Syst. Inc., Rochester, NY.
authors.forename: B E
authors.initials: BE
authors.lastname: Jang
authors.forename: R T
authors.initials: RT
authors.lastname: Chin
authors.forename: M
authors.initials: M
authors.lastname: Charif-Chefchaouni
authors.forename: D
authors.initials: D
authors.lastname: Schonfeld