This paper presents an original approach to the development of geometric-based modelling of the micro-EDM process. The work carried out so far is the first phase of the project and considers the geometric description of the erosion process. This was implemented by quantitively simulating the removal of craters with specific shape and size using point-cloud matrix technique. Simulation trials were conducted to practice the developed model, especially to predict wear of the electrode. The initial simulation results showed that the proposed model successfully predicts the geometric wear pattern of the micro-EDM process. However, it is worth emphasizing that this is an initial stage of a more comprehensive model that will include the physical parameters that dominate the formulation of crater shape and size. Furthermore, in future work, the detailed model will be experimentally validated.