Abstract: The sharpness profile of the working surface of a grinding wheel is determined in the course of a dressing operation by controlling the velocity of movement of the point of contact between the dressing tool and the grinding wheel. The velocity of such movement can be varied by changing the velocity of movement of the grinding wheel in a direction at right angles to its axis and/or by changing the velocity of movement of the dressing tool in a direction which is parallel to the axis of the grinding wheel. The velocity of the point of contact is varied as a function of changes of the inclination of various sections of the working surface relative to the axis of the grinding wheel. This influences the depth of notches or grooves which are formed by a rounded portion of the dressing tool in the working surface of the grinding wheel. The depth of such notches determines the sharpness of the corresponding sections of the working surface.