  We give a protocol for ghost imaging in a way that is always counterfactual -
while imaging an object, no light interacts with that object. This extends the
idea of counterfactuality beyond communication, showing how this interesting
phenomenon can be leveraged for metrology. Given, in the infinite limit, no
photons ever go to the imaged object, it presents a method of imaging even the
most light-sensitive of objects without damaging them. Even when not in the
infinite limit, it still provides a many-fold improvement in visibility and
signal-to-noise ratio over previous protocols, with over an order of magnitude
reduction in absorbed intensity.
