Deriving the Medial Axis with geometrical arguments for planar shapes
Pattern Recognition Letters
Contour Grouping Based on Contour-Skeleton Duality
International Journal of Computer Vision
Describing and matching 2d shapes by their points of mutual symmetry
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Essential loops and their relevance for skeletons and symmetry sets
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Pre-symmetry sets of 3d shapes
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Transitions of multi-scale singularity trees
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
The structure of shapes scale space aspects of the (pre-) symmetry set
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
On the Local Form and Transitions of Pre-symmetry Sets
Journal of Mathematical Imaging and Vision
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The Symmetry Set (SS) and its subset the Medial Axis (MA), can be used to describe a shape.The representation of the SS in parameter space is called the pre-Symmetry Set.Changes in the shape are directly related to so-called transition (topological changes) of the SS.They have also effect on the Pre-SS.Since the Pre-SS can be used to represent the shape efficiently, it is important to study the transitions of the pre-SS and their impact.We present these transitions, as well as the presence of the MA in the pre-SS.