The present invention includes corrective lenses for reshaping the cornea of an eye to improve vision, and methods of designing such corrective lenses. In accordance with various embodiments, the corrective lenses include a central portion, a periphery portion, and a junction region joining the central portion and the periphery portion comprised of a semi-rigid and/or flexible material. The corrective lenses are designed such that localized forces (e.g., lid forces and/or fluid forces in the eye) act on the corrective lenses to draw the periphery portion of a corrective lens to the corneal surface, which causes the junction region and/or central portion to apply pressure on the cornea to change the shape of the cornea. Because different individuals may require a different adjustment to their corneas to correct their particular problem, a corrective lens in accordance with the present invention may be specially designed to reshape the cornea of each user according to his/her particular needs.