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Proceedings Paper

Morphological pattern restoration: optimal structuring elements
Author(s): Dan Schonfeld
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Paper Abstract

In this paper, we derive the optimal structuring elements of morphological filters in image restoration. The expected pattern transformation of random sets is presented. An estimation theory framework for random sets is subsequently proposed. This framework is based on the least mean difference (LMD) estimator. The LMD estimator is defined to minimize the cardinality of the expected pattern transformation of the set-difference of the parameter and the estimate. Several important results for the determination of the LMD estimator are derived. The LMD structuring elements of morphological filters in image restoration are finally derived.

Paper Details

Date Published: 16 September 1994
PDF: 9 pages
Proc. SPIE 2308, Visual Communications and Image Processing '94, (16 September 1994);
Show Author Affiliations
Dan Schonfeld, Univ. of Illinois/Chicago (United States)

Published in SPIE Proceedings Vol. 2308:
Visual Communications and Image Processing '94
Aggelos K. Katsaggelos, Editor(s)

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