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Geometrical structure of the surface has a great influence on the friction and wear processes of the associated surfaces, which cooperate sliding and sliding as well as: deformation and contact stiffness, stress concentration and fatigue strength, corrosion resistance, vibration damping, joint tightness, contact resistance, contact conductivity heat, magnetic properties, reflection, absorption and penetration (light, electromagnetic, etc.), application processes, adhesion and durability of coatings, aeroand hydrodynamic properties, subjective impression of appearance and preferences of buyers of certain products. The basis for the selection of parameters that will be used to evaluate the surface, are destiny element and operating conditions. Also useful is the knowledge of the process used to shape the surface [1, 3, 6, 8, 15, 17, 18] (fig. 1). Forming the surface of precision parts is often done in the process of abrasive machining or eroding. Such surfaces are randomized fractal characteristics, sometimes with a "foreign" main component [1, 3, 13]. The information content of many parameters is quite small. They are gaining in importance after the integration of the information contained therein with the information obtained on the basis of other parameters. Most of the surfaces used are designed to work with other surfaces, so the placement, size and statistical characteristics of potential contact areas are important [1, 3, 5-7]. There is no justification indication of a universal set of parameters to evaluate the surface with different purposes and different functions vehicles. Depending on the conditions of planned operation and to some extent also from the features of the surface shaping process, a set of parameters [1, 3, 9-12] should be created, which will be:  have the maximum usefulness of information,  fulfill the condition of complementarity,

Evaluation of the develop of shape of the vertex surface of the roughness after the process of grinding