Multifractal detection of overlaps based on a stereometric analysis of a fracture surface: Assumptions

The paper presents theoretical assumptions of an analysis of stereometric files for the purpose of the detection of the occurrence of overlaps. The measured data of a fracture surface were obtained using a profilographometer. An algorithm has been developed based on the probability of the occurrence of maximum Euclidean distances in the investigated areas of the stereometric image. An analysis of real fractures and overlaps [Stach S, Roskosz S, Cwajna J, Cybo J. Graphic visualization of overlaps occurring in sintered carbides' fractures, Materials Characterization 2006-this issue. doi:10.1016/j.matchar.2006.01.007. [1]] has corroborated a high effectiveness of multifractal detection.