Title
Euclidean eccentricity transform by discrete arc paving
Abstract
The eccentricity transform associates to each point of a shape the geodesic distance to the point farthest away from it. The transform is defined in any dimension, for simply and non simply connected sets. It is robust to Salt & Pepper noise and is quasi-invariant to articulated motion. Discrete analytical concentric circles with constant thickness and increasing radius pave the 2D plane. An ordering between pixels belonging to circles with different radius is created that enables the tracking of a wavefront moving away from the circle center. This is used to efficiently compute the single source shape bounded distance transform which in turn is used to compute the eccentricity transform. Experimental results for three algorithms are given: a novel one, an existing one, and a refined version of the existing one. They show a good speed/error compromise.
Year
DOI
Venue
2008
10.1007/978-3-540-79126-3_20
DGCI
Keywords
Field
DocType
geodesic distance,circle center,bounded distance,discrete analytical concentric circle,articulated motion,error compromise,single source shape,discrete arc paving,constant thickness,different radius,distance transform
Wavefront,Concentric,Simply connected space,Eccentricity (behavior),Distance transform,Euclidean geometry,Geometry,Mathematics,Geodesic,Bounded function
Conference
Volume
ISSN
ISBN
4992
0302-9743
3-540-79125-6
Citations 
PageRank 
References 
4
0.44
11
Authors
3
Name
Order
Citations
PageRank
Adrian Ion122221.11
Walter G. Kropatsch2896152.91
Eric Andres31329.65