ker·a·to·mi·leu·sis 
(kĕr′ə-tō-mə-lsĭs)
(kĕr′ə-tō-mə-lsĭs)n.
Eye surgery in which refractive disorders are corrected by reshaping an inner layer of the cornea, formerly performed by freezing corneal layers and forming them to a new curvature, but now usually performed using a laser.
[Probably KERATO- + Greek smīleusis, carving (from smīlē, knife), the irregular omission of the initial s- of smīleusis in the compound being unexplained.]