Abstract: A method for grinding the surface of non-round workpieces. The method includes the steps of clamping a workpiece within a machining unit; machining the workpiece; without unclamping the workpiece, contactlessly measuring the workpiece using an optical measuring device having a conoscopic holography sensor with a characteristic measuring range; and machining and measuring the workpiece in an alternating manner to iteratively approach the desired measurements of a specified form by adjusting the distance between the optical measuring device and the surface of the workpiece depending on there being a deviation of the surface from the specified form so that a respectively measured area of the surface of the workpiece remains within the measuring range of the optical sensor.