Abstract: A system for reducing the radius of curvature of a cornea is provided which includes a device having an electrically-resistive ring, an insulative shaft coupled to the ring, and an electrical lead coupled to the ring, and an insulative handle coupled to the ring which facilitates manipulating the ring for placement on and removal from the cornea of the eye and through which the lead extends. The lead is couplable to a current source. According to a preferred aspect of the invention, a function generator is provided between the current source and the ring to generate a function of heat energy provided to the ring. The function generator permits very precise applications of current to the ring, and may be configured to heat the ring to a desired temperature, to maintain the temperature for a predetermined amount of the time, or to provide a heat profile. An astigmatism correction device, preferably operable in conjunction with the hyperopia heating device, is also provided.