27 December 2000 Mathematical morphology three-dimensional binary image representation
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Abstract
This research addresses the representation of 3D binary images by means of mathematical morphology. In this work, the main image representation is called structure representation, useful for 3D binary image compression. It consists of first calculating the balls (or other predefined 3D convex shapes) with the greatest size contained inside the 3D shape, then taking the residue (set difference) between the original 3D shape to the above greatest balls, and finally reiterating the above procedure on the residue until the whole shape is decomposed. The resulting decomposition elements are, therefore, disjoint. Original shape can perfectly reconstruct. The 3D structure representation is generalized, to extend the scope of its algebraic characteristics as much as possible.
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Dragos Nicolae Vizireanu, A. Vizireanu, and V. Lazarescu "Mathematical morphology three-dimensional binary image representation", Proc. SPIE 4311, Internet Imaging II, (27 December 2000); doi: 10.1117/12.411896; https://doi.org/10.1117/12.411896
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