A catheter system is provided that includes an electrode array near the distal end of the catheter. High frequency current is supplied between the electrodes of the array and a common electrode to cause heating of material lying between the electrodes. The catheter may include means for steering it through the lumen. In a preferred embodiment, the steering means includes a plurality of steering wires in contact with the catheter body. The steering wires may be formed of a shape-memory alloy. Wires of such an alloy may be made to contract when heated above a preselected transition temperature. The wires may be heated by the selective conduction of electrical current through them. Conduction of current through the steering wires is controlled based on the current flowing through the electrodes of the array. An inflatable balloon may be included proximal to the electrode array for dilating the vessel after the occlusion has been penetrated by the electrode array. The balloon may be shielded and protected behind a portion of the catheter having a diameter greater than the diameter of the uninflated balloon disposed about the catheter body. The catheter will include means for protecting the walls of the vessel from exposure to electrical current from the electrodes. This will commonly include switching means or other means for current control. The vessel wall may also be protected by setting the electrodes back some distance from the outer edge of the distal tip.