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ISPSeminar

SPS, Wed 01/06/2011, TVNUM, 10h30:

Speaker: Sébastien Lugan

Title: "A very short introduction to digital topology"

Slides: soon

Abstract:

After a quick definition of basic key concepts (adjacency, connexity, Jordan's curve theorem, etc.) of digital topology, we will quickly explore some main features and applications of digital topology for 2D/3D image processing and some of its possible extensions.

Additional Material

Here is a small bibliography:

- Digital Topology, Azriel Rosenfeld, oct. 1979:

  http://www.jstor.org/stable/2321290

- A Topological Approach to Digital Topology, T. Yunk Kong et al., 1991:

  http://www.jstor.org/stable/2324147

Some applications:

- Topology for grayscale images:

  http://www.esiee.fr/infoweb/lpsi/topogr_e.htm

- Topological operators for grayscale image processing:

  http://www.esiee.fr/~info/a2si/Ps/elimag01.ps.gz

- Topological Grayscale Watershed Transformation:

  http://www.esiee.fr/infoweb/lpsi/Watershed/watershed.htm

- Watershed cuts: thinnings, shortest-path forests and

  topological watersheds:
  http://www.esiee.fr/~info/a2si/Ps/WatershedCutsPAMI-part2-full.pdf

- Topological properties of thinning in 2-D pseudomanifolds:

  http://igm.univ-mlv.fr/LIGM/internal_report/pdf/2008_05.pdf

- Topology-corrected segmentation and local intensity estimates for

  improved partial volume classification of brain cortex in MRI:
  http://dx.doi.org/10.1016/j.jneumeth.2010.02.020

And more:

- Publications from Gilles Bertrand:

  http://www.esiee.fr/~info/a2si/sdi/biblio/Author/BERTRAND-G.html



Last updated September 25, 2013, at 09:13 AM