A Generalized Squared Euclidean Distance Transform with Voronoi Maps
Please use this identifier to cite or link to this publication: http://hdl.handle.net/1926/196 
Published in The Insight Journal  2006 January  June.
Submitted by Benjamin King on 12042006.
This document describes the implementation of an algorithm that computes a generalization of the distance transform with the squared euclidean metric.
The generalization allows for interesting image operators, e.g. a morphologic dilation with euclidean ball structure elements that can vary in size across the image. Voronoi maps and the standard distance transform can be computed as well.
The algorithm is provided as an image processing filter for ITK. Several example programs demonstrate its applications.
The generalization allows for interesting image operators, e.g. a morphologic dilation with euclidean ball structure elements that can vary in size across the image. Voronoi maps and the standard distance transform can be computed as well.
The algorithm is provided as an image processing filter for ITK. Several example programs demonstrate its applications.
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GeneralizedDistanceTransform.pdf (325Kb) [view paper]
GeneralizedDistanceTransform.code.tar.gz (16Kb)
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GeneralizedDistanceTransform.code.tar.gz (21Kb)
GeneralizedDistanceTransform.data.tar.gz (31Mb)
GeneralizedDistanceTransform.code.tar.gz (16Kb)
GeneralizedDistanceTransform.data.tar.gz (3Mb)
GeneralizedDistanceTransform.code.tar.gz (21Kb)
GeneralizedDistanceTransform.data.tar.gz (31Mb)
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Low memory print NDEuclideanDistanceTransform.
by Hauke Heibel on 11172007 for revision #1
expertise: 3 sensitivity: 4.7
A very good contribution
by Gaetan Lehmann on 07062006 for revision #1
expertise: 3 sensitivity: 4.7
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Categories:  Mathematics, Programming 
Keywords:  Distance Transform, Voronoi Map 
Toolkits:  ITK 
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