Morphological pattern restoration: optimal structuring elements

Dan Schonfeld

doi:10.1117/12.186025

16 September 1994 Morphological pattern restoration: optimal structuring elements

Dan Schonfeld

Proceedings Volume 2308, Visual Communications and Image Processing '94; (1994) https://doi.org/10.1117/12.186025
Event: Visual Communications and Image Processing '94, 1994, Chicago, IL, United States

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.

Citation Download Citation

Dan Schonfeld "Morphological pattern restoration: optimal structuring elements", Proc. SPIE 2308, Visual Communications and Image Processing '94, (16 September 1994); https://doi.org/10.1117/12.186025

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