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Mircea_ia.jpg (26477 bytes)Principle:

Mathematical Morphology is the application of lattice theory to the study of phenomena which spread in space and which exhibit a spatial structure.  Developed in France by G.Matheron and J.Serra as a method for Image Analysis, the application of mathematical morphology is extended from the geological and mining field to metallurgy,remote sensing,robotics,medical sciences etc.

Quantification of bone structure

The images of bones (trabecular and cortical), containing structural information which is given by the totality of relationships among the pixels of the bone phases, are studied with a LEICA QUANTIMET 500IW Image Processing and Image Analysis System of Mount Sinai Hospital (Toronto, Canada).

For trabecular bone analysis, connectivity and orientation measurements are taken in order to obtain : proportion of trabecular bone, average trabecular thickness, trabecular number, trabecular separation, end points, multiple points, cortex points, different categories of struts, anisotropy and the star.  QUIPS programs containing mathematical morphological transformations (erosion, dilation, opening, closing, skeletonising, rose of directions etc.) are developed.

For cortical bone analysis, grey-tone images containing structural information about the osteons and Haversian canals are processed with QUIPS programs. In order to obtain the values of bone parameters (total cortical area, osteonal area, mean osteonal wall thickness, osteonal density, total porosity, area of haversian canals and mean canal area), image processing operations (filtering, histogram equalisation) and Mathematical Morphological transformations like erosion, dilation, opening, closing and size distributions of the openings of the osteonal space are performed.

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