Recovering cylindric and conic surfaces from contours and reflections

Cylindric and conic metallic parts are considered, which are subject to surface treatments (such as, e.g., lathe ®nishing or grinding) that make both Lambertian re ̄ection models and purely specular ones inadequate. A new re ̄ection 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 re ̄ection of known light sources onto it. Ó 1999 Elsevier Science B.V. All rights reserved.