Cross-Section topology

Higher Edu - Research dev card
Development from the higher education and research community
  • Creation or important update: 26/03/10
  • Minor correction: 12/09/13

Cross-Section topology : topology for image processing

This software was developed (or is under development) within the higher education and research community. Its stability can vary (see fields below) and its working state is not guaranteed.
  • Web site
  • System: UNIX-like
  • License(s): CeCILL
  • Status: stable release
  • Support: maintained, no ongoing development
  • Designer(s): Michel Couprie, Francisco Nivando Bezerra, Gilles Bertrand
  • Contact designer(s): coupriem @
  • Laboratory, service: LIGM


General software features

We extended the topological concepts of the 2D binary images to the 2D graylevel images, by considering all the cross-sections (thresholds) of the images. This led us to propose new methods for segmenting, filtering, and enhancing grayscale images. These methods are based on operators that either preserve or selectively modify topology [CBB01,BEC97].

Context in which the software is used

Used for the research of the team, and also in several research projects, see

Publications related to the software

[CBB01] M. Couprie, F.N. Bezerra, and G. Bertrand: "Topological operators for grayscale image processing", Journal of Electronic Imaging, Vol. 10, Nb. 4, pp. 1003-1015, 2001.

[BEC97] G. Bertrand, J.C. Everat, M. Couprie: "Image segmentation through operators based upon topology", Journal of Electronic Imaging, Vol. 6, Nb. 4, pp. 395-405, 1997.

More references at: