Methods and apparatus/articles of manufacture for improving or correcting vision in an eye of a human or animal subject. A quantity of corneal tissue is removed from the subject's eye. Thereafter, a corneal cap is affixed to the anterior surface of the subject's eye in place of the previously removed corneal tissue. The shape and/or thickness and/or rotational orientation of the affixed corneal cap is adjusted as needed such that vision through the subject's eye is improved or corrected. In some cases, the corneal cap may comprise the same corneal tissue that was initially removed from the subject's eye. In other cases, the corneal cap may be formed of corneal tissue that has been harvested from a donor eye (e.g., a human, animal or cadaveric donor) or other material (e.g., synthetic or polymer material) having suitable properties.