A method for treating hyperopia or presbyopia in a patient, the method comprising making a cut deep in the patient's cornea to create a two-dimensional slit adjacent to and generally parallel to an anterior surface of the cornea and injecting a liquid or semi-solid transparent filler material into the deep cut in an amount sufficient to flatten the posterior surface of the cornea to increase the refractive power of the cornea by a predetermined correction of up to about 5 diopters due to the physical flattening of the posterior surface of the cornea, wherein the transparent filler material comprises a refractive index of about 1.3 to about 1.6, and forms a corneal implant with a lenticular shape within the cornea.
