Heat is generated in corneal fibrils in a cornea of an eye according to a selected pattern. The heat causes the corneal fibrils corresponding to the selected pattern to transition from a first structure to a second structure. The second structure provides a desired reshaping of the cornea. A cross-linking agent is then activated in the region of corneal fibrils according to the selected pattern. The cross-linking agent prevents the corneal fibrils from changing from the second structure. Thus, embodiments stabilize corneal tissue and improve its biomechanical strength after desired structural changes have been achieved in the corneal tissue. Accordingly, the embodiments help to preserve the desired reshaping of the cornea.