On the geometry of a surface and its singular profiles
Image and Vision Computing
Solid shape
Using Extremal Boundaries for 3-D Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Surface shape from the deformation of apparent contours
International Journal of Computer Vision
Class Based Reconstruction Techniques Using Singular Apparent Contours
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Motion from the frontier of curved surfaces
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Surface geometry from cusps of apparent contours
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Generalised Epipolar Constraints
International Journal of Computer Vision
Robust Recovery of Shapes with Unknown Topology from the Dual Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
| Hi-index | 0.00 |
It is known that the deformation of the apparent contoursof a surface under perspective projection and viewer motion enablethe recovery of the geometry of the surface, for example by utilisingthe epipolar parametrization.These methods break down withapparent contours that are singular i.e., with cusps. In thispaper we study this situation and show how, nevertheless, the surfacegeometry (including the Gauss curvature and mean curvature of thesurface) can be recovered by following the cusps.Indeed the formulae are much simpler in this case and require lowerspatio-temporal derivatives than in the general case of nonsingularapparent contours. We also show that following cusps does not byitself provide us with information on viewer motion.