As part of the endeavor to establish new optical manufacturing technologies, to include the manufacture of aspheric optical surfaces using traditional and non-traditional methods, a reference study that explains the concept of aspheric optical surfaces and their design considerations relative to spherical ones has been conducted. A study of international manufacturing methods and in our controlled manufacturing methods using the technologies and equipment available to us as well has been done. These studies provide the possibility and expertise to manufacture new types of optical surfaces. The results of these studies are applied on the technologies available to us for use in the manufacture and measurement of aspherical optical surfaces.