Vol 12 no.2 2012

Bogdan-Mihai GAVRILOAIA, Mariuca-Roxana GAVRILOAIA, Radu VIZIREANU, Emma CRETU, Catalin NEAMTU, Dumitru LUPULEASA

bogdan.gavriloaia@gmail.com, University Politehnica of Bucharest, Romania “Carol Davila”University of Medicine and Pharmacy, Romania roxana21g@yahoo.com, emmacretu@yahoo.com University of Pitesti, Romania cezar.vizireanu@gmail.com, catalin_on_13@yahoo.com,

Abstract

   Shape of most objects in nature is difficult to estimate using Euclidian geometry because their component elements look to be similar to the whole objects viewed at different scales, but not the same, as manmade objects are. Crystals are an exception. Analysis of the structure of these crystals was performed on a pure substance, dexamethasone. Qualitative and quantitative analyzes of digital images taken from an electronic microscope were performed at eight scales by using magnifiers between 600 and 80000. The quantitative analysis was based on the Hausdorff dimension evaluation for fractal objects. The simulated results show the range of fractal dimensions for each image scale according to the threshold at which the black and white images were transformed.

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