Recovering cylindric and conic surfaces from contours and reflections

Abstract

Cylindric and conic metallic parts are considered, which are subject to surface treatments (such as, e.g., lathe finishing or grinding) that make both Lambertian reflection models and purely specular ones inadequate. A new reflection model is introduced for such surface treatments, and a method is derived for the determination of the pose and the intrinsic geometric parameter of a cylindric surface or a conic one starting from a single view. This method uses both the projection of the outline of the surface and the reflection of known light sources onto it.