MAP signal estimation in noisy sequences of morphologically smooth images.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 18285198.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
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.