These corneal incisions have nothing to do with the old incision techniques (e.g. arcuate keratotomies or radial).
These incisions are not full thickness (they do not completely cut the cornea) and are used only for reducing irregular astigmatism following trauma or corneal transplants when the laser is not able to produce satisfactory results.
With these methods, special diamond scalpels are used to relax the corneal tissue where there is the greatest tension, with the aim of reducing astigmatism.