Solid shape
Ridges, crests and sub-parabolic lines of evolving surfaces
International Journal of Computer Vision
The use of computer graphics for solving problems in singularity theory
Visualization and mathematics
Symmetry Sets and Medial Axes in Two and Three Dimensions
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Hi-index | 0.00 |
We prove that the level sets of a real Cs function of two variables near a non-degenerate critical point are of class C[s/2] and apply this to the study of planar sections of surfaces close to the singular section by the tangent plane at an elliptic or hyperbolic point, and in particular at an umbilic point. We go on to use the results to study symmetry sets of the planar sections. We also analyse one of the cases coming from a degenerate critical point, corresponding to an elliptic cusp of Gauss on a surface, where the differentiability is reduced to C[s/4]. However in all our applications we assume C∞ smoothness.