Robust Computations of Reeb Graphs in 2-D Binary Images

  • Antoine VacavantEmail author
  • Aurélie Leborgne
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9667)


In this article, we present a novel approach devoted to robustly compute the Reeb graph of a digital binary image, possibly altered by noise. We first employ a skeletonization algorithm, named DECS (Discrete Euclidean Connected Skeleton), to calculate a discrete structure centered within the object. By means of an iterative process, valid with respect to Morse theory, we finally obtain the Reeb graph of the input object. Our various experiments show that our methodology is capable of computing the Reeb graph of images with a high impact of noise, and is applicable in concrete contexts related to medical image analysis.


Skeletonization Reeb graph Topology 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.ISIT, Université d’Auvergne, UMR/CNRS/6284, BP10448Clermont-FerrandFrance
  2. 2.Université de Lyon, INSA-Lyon, LIRIS, UMR/CNRS/5205VilleurbanneFrance

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