title: MAP signal estimation in noisy sequences of morphologically smooth images.
abstract: Sidiropoulos et al. (1994) demonstrated that morphological openings and closings can be viewed as maximum a posteriori (MAP) estimators of morphologically smooth signals in signal-independent i.i.d. noise. The present authors extend these results to the M-fold independent observation case, and show that the aforementioned estimators are strongly consistent. We also demonstrate the validity of a thresholding conjecture (Sidiropoulos et al., 1994) by simulation, and use it to evaluate estimator performance. Taken together, these results can help determine the least upper bound, M , on M, which guarantees virtually error-free reconstruction of morphologically smooth images.
authors.affiliation: Inst. for Syst. Res., Maryland Univ., College Park, MD.
authors.forename: N D
authors.initials: ND
authors.lastname: Sidiropoulos
authors.forename: D
authors.initials: D
authors.lastname: Meleas
authors.forename: T
authors.initials: T
authors.lastname: Stragas