Abstract: Grinding machine for finishing a surface of revolution on a workpiece, comprising a computer-controlled program bringing about a rounding-up operation at creep speed by spindle deflection compensation. A sensor is provided that generates an analog electrical signal indicative of the grinding force between the wheel and the workpiece, including a converter for changing the electrical signal to a digital signal. A digital computer is connected to the sensor and also to the actuator for the transmittal of signals therebetween for the regulation of the operation of the actuator. The control device includes apparatus for the measurement of system rigidity and for using this measurement to control the actuator.