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Mathematical morphology: from two dimensions to three dimensions
Author(s) -
Meyer F.
Publication year - 1992
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1992.tb04302.x
Subject(s) - morphology (biology) , mathematical morphology , computer science , artificial intelligence , biology , zoology , image processing , image (mathematics)
SUMMARY After a discussion of the best grid for the digitization of three‐dimensional (3‐D) images, two grids are retained for which the approximations of the elementary disc are respectively the cuboctahedron and the rhombododecahedron. These are used to derive the formulae for the basic Minkowski measures. The extension from 2‐D to 3‐D is demonstrated to be straightforward for most transformations of mathematical morphology, and covers almost all practical situations.