%0 Journal Article %T Mass fractal dimension from 2D microscopy images via an aggregation model with variable compactness %+ IFP Energies nouvelles (IFPEN) %A Ferri, Giulia %A Humbert, Severine %A Schweitzer, Jean-Marc %A Digne, Mathieu %A Lefebvre, Veronique %A Moreaud, Maxime %< avec comité de lecture %@ 0022-2720 %J Journal of Microscopy %I Wiley %V 286 %N 1 %P 31-41 %8 2022-04 %D 2022 %R 10.1111/jmi.13088 %K fractal dimension %K morphological model %K image analysis %Z Computer Science [cs]/Signal and Image Processing %Z Chemical Sciences/Analytical chemistryJournal articles %X Microscopy-image analysis provides precious information on size and structure of colloidal aggregates and agglomerates. The structure of colloids is often characterized using the mass fractal dimension d f , which is different from the two-dimensional fractal dimension d p that can be computed from microscopy-images. In this work we propose to use a recent morphological aggregation model to find a relationship between 2D image fractal dimension and 3D mass fractal dimension of aggregates and agglomerates. Our case study is represented by scanning transmission electron microscopy-images of boehmite colloidal suspensions. The behaviour of the computed d f at different acid and base concentration shows a fair agreement with the results of Small Angle X-Ray Scattering and with the literature, enabling to use the d f vs d p relationship to study the impact of the composition of the colloidal suspension on the density of colloidal aggregates and agglomerates. %G English %2 https://ifp.hal.science/hal-03692434/document %2 https://ifp.hal.science/hal-03692434/file/Article_for_HAL.pdf %L hal-03692434 %U https://ifp.hal.science/hal-03692434 %~ IFP