Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Computing Voronoi diagrams in digital pictures
Pattern Recognition Letters
Shape Modeling with Front Propagation: A Level Set Approach
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
Thinning algorithms on rectangular, hexagonal, and triangular arrays
Communications of the ACM
Computer representation of planar regions by their skeletons
Communications of the ACM
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
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
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
Matching 2D Shapes using their Symmetry Sets
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 02
Alternative 2D Shape Representations using the Symmetry Set
Journal of Mathematical Imaging and Vision
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A Width-Independent Fast Thinning Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Computing 3d symmetry sets; a case study
DSSCV'05 Proceedings of the First international conference on Deep Structure, Singularities, and Computer Vision
Environment characterization for non-recontaminating frontier-based robotic exploration
PRIMA'11 Proceedings of the 14th international conference on Agents in Principle, Agents in Practice
Human action recognition based on skeleton splitting
Expert Systems with Applications: An International Journal
| Hi-index | 0.10 |
In this paper a novel method to derive the Medial Axis of a shape is presented. The property that the Medial Axis is a subset of the Symmetry Set is used. The latter allows a formulation in terms of two equations, based on geometrical arguments. From the set that solves the equations, the subset that yields the Medial Axis can be taken. An algorithm is given that performs these tasks. The Medial Axis can easily be labelled with respect to main axis and branches, as this information follows directly from the Symmetry Set.