Topological Encoding of 3d Segmented Images

Bertrand Y., Damiand G., Fiorio C.

Proc. of 9th International Conference on Discrete Geometry for Computer Imagery (DGCI)
Lecture Notes in Computer Science 1953, pages 311-324, December 2000, Uppsala, Sweden

Abstract: In this paper we define the 3d topological map and give an optimal algorithm which computes it from a segmented image. This data structure encodes totally all the information given by the segmentation. More, it allows to continue segmentation either algorithmically or interactively. We propose an original approach which uses several levels of maps. This allows us to propose a reasonable and implementable solution where other approaches don't allow suitable solutions. Moreover our solution has been implemented and the theoretical results translate very well in practical applications.

BibTex references

@InProceedings{BDF00,
      author = {Bertrand, Y. and Damiand, G. and Fiorio, C.},
      title = {Topological Encoding of 3d Segmented Images},
      booktitle = {Proc. of 9th International Conference on Discrete Geometry for Computer Imagery (DGCI)},
      series = {Lecture Notes in Computer Science},
      publisher = {Springer Berlin/Heidelberg},
      volume = {1953},
      pages = {311-324},
      month = {December},
      year = {2000},
      address = {Uppsala, Sweden},
      url = {https://doi.org/10.1007/3-540-44438-6_26}
}

Guillaume Damiand

Topological Encoding of 3d Segmented Images

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BibTex references

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