A radio-frequency electrode that is specially configured to provide a reasonably uniform electric field distribution at the skin surface of a patient being treated to improve the skin appearance. Harmful burning is avoided by employing one of the following four features: pre-applying to the skin a thermal gel, a known thermally and electrically-conductive material, using low radio-frequency power at 3.8-4 MHz, relying on the natural cooling provided by a highly conductive electrode material, and continuously moving the electrode while in contact with the skin. Preferably, all four features are combined in carrying out the cosmetic procedure of the invention. In a preferred embodiment, the highly conductive electrode material is an alloy comprised mainly of silver with a small percentage of ingredients added to strengthen the silver alloy electrode and preserve its luster and the active surface of the electrode is configured as a section of a sphere, or as dome shaped.