Elliptical Distance Transforms and Applications

  • Hugues Talbot
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4245)


Discrete Euclidean distance transforms, both exact and approximate, have been studied for some time, in particular by the Discrete Geometry community.

In this paper we extend the notion of Euclidean distance transform (EDT) to elliptical distance transform (LDT). The LDT takes an additional two fixed parameters (eccentricity and orientation) in 2-D and an additional four in 3-D (two ratios and two angles) in 3-D, instead of 1 for the EDT in all cases . We study first how the LDT can be computed efficiently with good approximation in the case where all parameters are constant.

We provide an application to binary object segmentation as motivation for this work.


Binary Image Level Line Priority Queue Mathematical Morphology Distance Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Hugues Talbot
    • 1
  1. 1.A2SI-ESIEE / IGMNoisy-le-GrandFrance

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