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MAP signal estimation in noisy sequences of morphologically smooth images

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3 Author(s)
Sidiropoulos, N.D. ; Inst. for Syst. Res., Maryland Univ., College Park, MD, USA ; Meleas, D. ; Stragas, T.

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

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Image Processing, IEEE Transactions on  (Volume:5 ,  Issue: 6 )