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Analysis and modelling of tessellations by means of image analysis methods

A QUANTIMET 570 image processing system was used to determine the grain morphology of an austenitic steel. The applied methods can be generalized to other tessellation structures. The grain morphology is studied using plane micrographs where the grain boundaries were made visible by etching. The image processing using grey and binary image transformations, which improve the visibility of the grain boundaries, is described. The resulting plane section cell structure is investigated with respect to different characteristic cell parameters. Basic stereological relationships are used to check the detection. The mean values obtained are compared with the theoretical and simulated values predicted by the Poisson–Voronoi model, the homogeneous Johnson–Mehl model and the ASTM model. It is found that these mean values for the different distributions are in agreement with the theoretical ones for each of the three models. For the Poisson–Voronoi mosaic where the distributions of the measured quantities are also known, the measured distributions are compared with the predicted ones. It is found that significant differences in the shape of the distributions occur.