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Guillaume Damiand

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Insertion and Expansion Operations for n -Dimensional Generalized Maps

Baba-Ali M., Damiand G., Skapin X., Marcheix D.
Proc. of 14th International Conference on Discrete Geometry for Computer Imagery (DGCI)
Lecture Notes in Computer Science 4992, pages 141-152, April 2008, Lyon, France

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Abstract: Hierarchical representations, as irregular pyramids, are the bases of several applications in the field of discrete imagery. So, n-dimensional "bottom-up" irregular pyramids can be defined as stacks of successively reduced n-dimensional generalized maps (n-G-maps) [13], each n-G-map being defined from the previous level by using removal and contraction operations defined in [18]. Our goal is to build a theoretical framework for the definition and handling of n-dimensional "top-down" irregular pyramids. To do that, we propose in this paper to study the definition of insertion and expansion operations that allows to conceive this kind of pyramids.

BibTex references

@InProceedings{BDSM08,
      author = {Baba-Ali, M. and Damiand, G. and Skapin, X. and Marcheix, D.},
      title = {Insertion and Expansion Operations for n -Dimensional Generalized Maps},
      booktitle = {Proc. of 14th International Conference on Discrete Geometry for Computer Imagery (DGCI)},
      series = {Lecture Notes in Computer Science},
      publisher = {Springer Berlin/Heidelberg},
      volume = {4992},
      pages = {141-152},
      month = {April},
      year = {2008},
      address = {Lyon, France},
      url = {https://doi.org/10.1007/978-3-540-79126-3_14}
}

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