Systems and methods for implanting scaffolds in a corneal pocket of a cornea are provided. In some embodiments, a reversibly deformable scaffold may have a relaxed state and a deformed state. The scaffold may include a first ring and a second ring, a first connector extending from the first ring to the second ring, and a second connector extending from the first ring to the second ring. In some embodiments, a curvature of the first connector and a curvature of the second connector may extend at least partially radially outwardly relative to a central axis of the first ring and the second ring.