Methods and systems for planning and forming incisions in a cornea, lens capsule, and/or crystalline lens nucleus are disclosed. A method includes measuring spatial dispositions, relative to a laser surgery system, of at least portions of the corneal anterior and posterior surfaces. A spatial disposition of an incision of the cornea is generated based at least in part on the measured corneal anterior and posterior spatial dispositions and at least one corneal incision parameter. A composite image is displayed that includes an image representative of the measured corneal anterior and posterior surfaces and an image representing the corneal incision.