21 May 1993 Adaptation of gray-scale morphological filters
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Abstract
Grayscale morphology has been widely used in image processing, especially in noise removal. In this paper, we find an optimal solution for designing a grayscale morphological filter. An adaptive algorithm is developed for determining, from a given class of grayscale morphological filters, a filter which minimizes the mean square error between its output and a desired process. The adaptation using the conventional least mean square algorithm optimizes the grayscale structuring element in a given search area. The performance of noise removal is compared to another class of nonlinear filters, i.e., adaptive and nonadaptive stack-based filters.
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Qiaofei Wang, Yrjo A. Neuvo, "Adaptation of gray-scale morphological filters", Proc. SPIE 1902, Nonlinear Image Processing IV, (21 May 1993); doi: 10.1117/12.144744; https://doi.org/10.1117/12.144744
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