A solution is found that extremizes compactness subject to an orthogonality constraint between the axes of skew symmetry of the top cross section plane and the generalized cylinder axis. A solution is found that extremizes compactness subject to an orthogonality constraint between the axes of skew symmetry of the top cross section plane and the generalized cylinder axis. Horaud, R., and Brady, J.M., On the geometric interpretation of image contours , in Proc. First Int'l Conference on Computer Vision, London, U.K., June 1987. However, there are surfaces for which the local shape of a single rim point reveals global properties of the surface.
Surfaces of revolution present an ideal example of such surfaces.
Here, we focus on the specific relation between their global structure and the local shape of points on the rim. Surfaces of revolution are formed by rotating a planar curve around a straight axis that does not meet the curve. The problem with detecting symmetries in the occluding contour is that the existence of such symmetries depends on viewpoint. On the other hand, the identification, detection and utilization of viewpoint18 invariant properties is a non trivial task. Such surfaces are completely described by their axis and their generating curve.