The present invention provides a method whereby the spatial relationship and orientations of one or more three-dimensional objects being illuminated by an optical projector, and the optical projector itself, can be very accurately defined both quickly and easily. The present invention also provides a novel computerized optical projection system whereby three dimensional data when viewed by the human eye projected onto three dimensional objects is not deformed as a result of the non-planar projection surface. The present invention could have many applications in many industries that include entertainment, apparel, marketing, and many others. In one embodiment, the invention provides computerized optical assembly or manufacturing guidance systems, and related methods, that provide step-by-step assembly or manufacturing instructions for instructing technicians how to assemble or manufacture three-dimensional objects or systems, or parts thereof, which may be extremely complex, such as an aircraft, or a part thereof (a vertical stabilizer, or the like), in a very efficient, rapid and accurate manner. The assembly instructions are in the form of calibrated three-dimensional text, images and / or symbols, and are projected by one or a plurality of optical projectors that are in operable communication with one or a plurality of computers onto the three-dimensional objects or systems, or component parts or skins thereof.