3-D Coordinate Determination from 2-D Automotive Sketches: Part I

In this part, we present a 2-D four-point method to determine 3-D coordinate system in the application of automotive styling. This is a reverse transformation method according to the normal graphic projection transformation from 3-D to 2-D. Through choosing four certain or typical points from 2-D automotive sketches, the three planar angles can be calculated, and then the three spatial angles that control 3-D coordinate system will be determined. The angular relationships of the order-based pure rotation and the non-order-based rotation have been discussed.