Essential loops and their relevance for skeletons and symmetry sets

Authors:
Arjan Kuijper;Ole Fogh Olsen
Affiliations:
Image Group, IT-University of Copenhagen, Copenhagen, Denmark;Image Group, IT-University of Copenhagen, Copenhagen, Denmark
Venue:
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Year:
2005

Citing 5
Cited 2

Matching Hierarchical Structures Using Association Graphs

IEEE Transactions on Pattern Analysis and Machine Intelligence
Shock Graphs and Shape Matching

International Journal of 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
Transitions of the Pre-Symmetry Set

ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03

Deriving the Medial Axis with geometrical arguments for planar shapes

Pattern Recognition Letters
On the Local Form and Transitions of Pre-symmetry Sets

Journal of Mathematical Imaging and Vision

Quantified Score

Hi-index	0.00

Visualization

Abstract

The Symmetry Set ($\mathcal{SS}$) and its representation in parameter space, the pre-Symmetry Set, can be used to describe a shape with a linear data structure containing strings. As shape descriptor one specific string can be chosen. This string represents not only the major axis of the shape, but it also contains information of the complete shape. The string is augmented with information about the special points along the (pre-) Symmetry Set that it resembles. Changes in this simple line structure are directly related to so-called transitions (topological changes) of the $\mathcal{SS}$ and the Pre- $\mathcal{SS}$. It also carries information about the skeleton, or Medial Axis.