Further Results on MAP Optimality and Strong Consistency of Certain Classes of Morphological Filters
| dc.contributor.author | Sidiropoulos, N.D. | en_US |
| dc.contributor.author | Baras, John S. | en_US |
| dc.contributor.author | Berenstein, Carlos A. | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:57:20Z | |
| dc.date.available | 2007-05-23T09:57:20Z | |
| dc.date.issued | 1994 | en_US |
| dc.description.abstract | In two recent papers [1], [2], Sidiropoulos et al. have obtained statistical proofs of Maximum A Posteriori} (MAP) optimality and strong consistency of certain popular classes of Morphological filters, namely, Morphological Openings, Closings, unions of Openings, and intersections of Closings, under i.i.d. (both pixel-wise, and sequence-wide) assumptions on the noise model. In this paper we revisit this classic filtering problem, and prove MAP optimality and strong consistency under a different, and, in a sense, more appealing set of assumptions, which allows the explicit incorporation of geometric and Morphological constraints into the noise model, i.e., the noise may now exhibit structure; Surprisingly, it turns out that this affects neither the optimality nor the consistency of these field-proven filters.<P> | en_US |
| dc.format.extent | 207347 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/5553 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1994-84 | en_US |
| dc.subject | estimation | en_US |
| dc.subject | filtering | en_US |
| dc.subject | image processing | en_US |
| dc.subject | Systems Integration Methodology | en_US |
| dc.title | Further Results on MAP Optimality and Strong Consistency of Certain Classes of Morphological Filters | en_US |
| dc.type | Technical Report | en_US |
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