In a method of making shaped glass articles, a glass sheet is placed on a mold having a shaping surface with a desired surface profile of a shaped glass article. The glass sheet is preferentially and rapidly heated by radiation while in the vicinity of the mold so that the mold remains substantially cooler than the glass sheet during the heating. The glass sheet is sagged onto the shaping surface of the mold so that at least a portion of the sagged sheet assumes the desired surface profile of the shaped glass article. After sagging and shaping, the sagged and shaped glass sheet is removed from the mold.