The results of truing and dressing depend on: sharpness of the dresser, speed of dressing, depth of cut and vibration phenomena. Prediction of the optimum wheel surface for grinding which produces an accurate profile and cuts most efficiently can minimize the time and cost and optimize performance of the operation before it is performed in the shop. It has especially significant meaning in truing and dressing of hard CBN wheels. The research described in this paper shows computer simulated and visualized wheel surface before and after the wheel dressing process. This paper provides additional results to those was reported in  taking into account the influence of vibrations. It is a companion paper to .