A laser eye surgery system, comprising: a laser to generate a laser beam; a topography measurement system for measuring topography of the cornea of the eye; a processor coupled to the laser and the topography measurement system, the processor being configured to: measure a first corneal topography of the eye using the topography measurement system; determine a first curvature of the cornea based on the first corneal topography, and a target curvature of the cornea that treats the eye; determine a first set of incisions in the cornea to achieve the target curvature in the cornea and a set of partial incisions in the cornea smaller than the first incisions, wherein the partial incisions are determined based upon an uncertainty level corresponding to a chosen likelihood that the target curvature will be achieved, thereby decreasing the likelihood of overcorrection; perform the set of partial incisions on the cornea by the laser beam generated by the laser; measure a second corneal topography using the topography measurement system after performing the set of partial incisions; determine a second curvature of the cornea on the basis of the second corneal topography; and determine whether the second curvature differs from the target curvature; if the second curvature differs from the target curvature, determine a second set of incisions in the cornea different from the first set of incisions to achieve the target curvature in the cornea; and perform the second set of incisions on the cornea by the laser beam generated by the laser. a laser to generate a laser beam; a topography measurement system for measuring topography of the cornea of the eye; a processor coupled to the laser and the topography measurement system, the processor being configured to: measure a first corneal topography of the eye using the topography measurement system; determine a first curvature of the cornea based on the first corneal topography, and a target curvature of the cornea that treats the eye; determine a first set of incisions in the cornea to achieve the target curvature in the cornea and a set of partial incisions in the cornea smaller than the first incisions, wherein the partial incisions are determined based upon an uncertainty level corresponding to a chosen likelihood that the target curvature will be achieved, thereby decreasing the likelihood of overcorrection; perform the set of partial incisions on the cornea by the laser beam generated by the laser; measure a second corneal topography using the topography measurement system after performing the set of partial incisions; determine a second curvature of the cornea on the basis of the second corneal topography; and determine whether the second curvature differs from the target curvature; if the second curvature differs from the target curvature, determine a second set of incisions in the cornea different from the first set of incisions to achieve the target curvature in the cornea; and perform the second set of incisions on the cornea by the laser beam generated by the laser. measure a first corneal topography of the eye using the topography measurement system; determine a first curvature of the cornea based on the first corneal topography, and a target curvature of the cornea that treats the eye; determine a first set of incisions in the cornea to achieve the target curvature in the cornea and a set of partial incisions in the cornea smaller than the first incisions, wherein the partial incisions are determined based upon an uncertainty level corresponding to a chosen likelihood that the target curvature will be achieved, thereby decreasing the likelihood of overcorrection; perform the set of partial incisions on the cornea by the laser beam generated by the laser; measure a second corneal topography using the topography measurement system after performing the set of partial incisions; determine a second curvature of the cornea on the basis of the second corneal topography; and determine whether the second curvature differs from the target curvature; if the second curvature differs from the target curvature, determine a second set of incisions in the cornea different from the first set of incisions to achieve the target curvature in the cornea; and perform the second set of incisions on the cornea by the laser beam generated by the laser.