The present invention provides applicators for performing thermokeratoplasty. One embodiment of such applicators includes a pair of electrical conducting elements electrically separated by a selected distance and extending from a proximal end to a distal end. The electrical conducting elements define, at the distal end, a contact surface that is positionable at a cornea. At least one of the electrical conducting elements is divided into a plurality of discrete sections extending from the proximal end to the distal end. The discrete sections are selectively and separately actuated by a controller according to one or more variable characteristics to deliver energy to the cornea.