Abstract: Method and apparatus for generating compound shapes in optical surfaces needed to accomodate variable magnification, off-axis projection, reflection from diverse surfaces, reflector relay, intensity pattern requirements and other complex optical transform functions. The present invention permits the realization of mirrors of which provide a variable magnification. The surface generation capabilities permit controlled magnification changes that nevertheless are still image forming and typically avoid the human eye focussing difficulties normally associated with variable magnification mirrors. The present invention includes a computer driven, reflector design system which permits the designer to see the field of view, ray tracings, reflected beam intensity pattern and other data pertinent to a variable magnification mirror from entered mirror specifications. The effect of changes in specifications can be rapidly determined and a final design achieved through one or more such reiterations.