There is provided a machining tool for machining a workpiece on a
workpiece support in response to control signals. The machining tool
includes a cutting tool configured to cut a surface of the workpiece. The
machining tool also includes a first displacement mechanism and a second
displacement mechanism. The first displacement mechanism arranged to
displace the cutting tool relative to the workpiece in a first set of
coordinates in response to the control signals. The second displacement
mechanism supported by the first translation mechanism and arranged to
displace the cutting tool relative to the workpiece in a second set of
coordinates, the second displacement mechanism capable of a higher
frequency response than the first displacement mechanism. The machining
tool also includes a controller configured to receive the control signals
and synchronize the displacement of the cutting tool due to the first
displacement mechanism with the displacement of the cutting tool due to
the second displacement mechanism.