The present invention provides methods for forming convex and concave elements on the ends of supporting members. A convex element may be formed by forming a droplet on the end of the supporting member, then curing the droplet. The size of the droplet may be controlled using evaporation of a solvent from the droplet. In another aspect of the invention, an optical element may be formed by forming a droplet on the end of the supporting member, contacting the droplet with a mold, and curing the droplet, thereby forming an element with a curvature opposite that of the mold. When the supporting member is an optical fiber, the elements formed by the methods of the present invention are useful as lenses and mirrors in micro-optic devices.