Title
The eccentricity transform (of a digital shape)
Abstract
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.
Year
DOI
Venue
2006
10.1007/11907350_37
DGCI
Keywords
Field
DocType
digital image,future work,shape decomposition,neighbourhood graph,connected graph,eccentricity measure,digital shape,connectivity structure,vertex w,connected region,vertex v,distance transform
Graph center,Discrete mathematics,Topology,Combinatorics,Loop (graph theory),Vertex (graph theory),Cycle graph,Neighbourhood (graph theory),Degree (graph theory),Strongly connected component,Mathematics,Feedback vertex set
Conference
Volume
ISSN
ISBN
4245
0302-9743
3-540-47651-2
Citations 
PageRank 
References 
9
0.65
14
Authors
4
Name
Order
Citations
PageRank
Walter G. Kropatsch1896152.91
Adrian Ion222221.11
Yll Haxhimusa323320.26
Thomas Flanitzer4111.29