Abstract: A lapping tool for localized optical polishing of a workpiece, the tool having a flexible working surface and being characterized by means for selectively varying the pressure applied, in use, on the workpiece by different regions of the tool working surface whereby to vary the effective area of contact with the workpiece. A method of optical polishing and optical workpiece using a lapping tool whose maximum working surface area is substantially smaller than the workpiece, comprising determining the path to be travelled by the tool across the workpiece, and determining the pressure and effective area of contact of the tool on the workpiece, in order to achieve the next stage of polishing, and then driving the tool over that path while dynamically varying the said applied pressure and effective contact area.