Abstract
To efficiently perform morphological operations on neighborhood-processing-based parallel image computers, we need to decompose structuring elements larger than the neighborhood that can be directly handled into neighborhood subsets. In the special case that the structuring element is a convex polygon, there are known decomposition algorithms in the literature. In this paper, we give an algorithm for the optimal decomposition of arbitrarily shaped structuring elements, enabling an optimal implementation of morphological operations on neighborhood-connected parallel computers in the general case.
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