Topological model for two-dimensional image representation: definition and optimal extraction algorithm

@article{Damiand2004TopologicalMF,
  title={Topological model for two-dimensional image representation: definition and optimal extraction algorithm},
  author={Guillaume Damiand and Yves Bertrand and Christophe Fiorio},
  journal={Computer Vision and Image Understanding},
  year={2004},
  volume={93},
  pages={111-154}
}
In this paper, we define the two dimensional topological map, a model which represents both topological and geometrical information of a two dimensional labeled image. Since this model is minimal, complete and unique, we can use it to define efficient image processing algorithms. The topological map is the last level of a map hierarchy. Each level represents the region boundaries of the image and is defined from the previous one in the hierarchy, thus giving a simple constructive definition… CONTINUE READING