Optimal Structuring Elements for the Morphological Pattern Restoration of Binary Images
نویسنده
چکیده
AbstructIn 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 least mean difference (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 least mean difference (LMD) estimator are derived. The least mean difference (LMD) structuring elements of morphological filters in image restoration are finally derived.
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عنوان ژورنال:
- IEEE Trans. Pattern Anal. Mach. Intell.
دوره 16 شماره
صفحات -
تاریخ انتشار 1994