Distances defined by neighborhood sequences
Pattern Recognition
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Graphs: theory and algorithms
Sequential Operations in Digital Picture Processing
Journal of the ACM (JACM)
Shock Graphs and Shape Matching
International Journal of Computer Vision
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Representation and Detection of Deformable Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Guiding Model Search Using Segmentation
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Shape representation and classification using the Poisson equation
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Evaluating minimum spanning tree based segmentation algorithms
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Integral trees: subtree depth and diameter
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Hierarchical Shape Decomposition via Level Sets
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Decomposition for efficient eccentricity transform of convex shapes
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Computing the eccentricity transform of a polygonal shape
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
Euclidean eccentricity transform by discrete arc paving
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
An improved coordinate system for point correspondences of 2D articulated shapes
DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
Matching 2D and 3D articulated shapes using the eccentricity transform
Computer Vision and Image Understanding
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Eccentricity measures the shortest length of the paths from a given vertex v to reach any other vertex w of a connected graph Computed for every vertex v it transforms the connectivity structure of the graph into a set of values For a connected region of a digital image it is defined through its neighbourhood graph and the given metric This transform assigns to each element of a region a value that depends on it's location inside the region and the region's shape The definition and several properties are given Presented experimental results verify its robustness against noise, and its increased stability compared to the distance transform Future work will include using it for shape decomposition, representation, and matching.