Biological Cybernetics
A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric heat equation and nonlinear diffusion of shapes and images
Computer Vision and Image Understanding
Matching Hierarchical Structures Using Association Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shock Graphs and Shape Matching
International Journal of Computer Vision
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
On the Local Form and Transitions of Symmetry Sets, Medial Axes, and Shocks
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
On the Intrinsic Reconstruction of Shape from Its Symmetries
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curvature motions, medial axes and distance transforms
Curvature motions, medial axes and distance transforms
Multiscale Medial Loci and Their Properties
International Journal of Computer Vision - Special Issue on Research at the University of North Carolina Medical Image Display Analysis Group (MIDAG)
Transitions of the Pre-Symmetry Set
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
On the Local Form and Transitions of Pre-symmetry Sets
Journal of Mathematical Imaging and Vision
Hi-index | 0.00 |
Shapes simplify under to the intrinsic heat equation – the Mean Curvature Motion (MCM) – forming a shape scale space. The same holds for a representation of the shape, viz. the Symmetry Set (SS), a superset of the Medial Axis. Its singularities under the MCM are known, opening possibilities to investigate its deep structure. As data structure we use so-called Gauss diagrams, structures that depend on the pre-Symmetry Set, the SS in parameter space. Its properties, as well as its evolution and singularities under MCM, are presented. The set of all possible Gauss diagrams under MCM form a directed graph with one end point, in which the shape's scale space describes a specific path. These paths can be used for shape description and comparison.