In this paper, morphological operations on regular hexagonal structures are considered, where a regular hexagonal structure is a subset of a hexagonal lattice and consists of the sampled points for the discretization of a regular hexagonal region. First, a sequence of reasonable structure elements (SE) for hexagonal lattices are provided, and the decompositions of the SEs are shown. Second, based on the decompositions of the SEs, some efficient algorithms for morphological operations on the regular hexagonal structures are developed. Finally, the algorithms are tested using a computerized tomography (CT) image, and promising applications of such algorithms on CT image reconstruction and segmentation are pointed out.
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