Lattice of generalized neighbourhood sequences in nD

@article{Fazekas2003LatticeOG,
  title={Lattice of generalized neighbourhood sequences in nD},
  author={Attila Fazekas and Andrls Hajdu and L. Hajdu},
  journal={3rd International Symposium on Image and Signal Processing and Analysis, 2003. ISPA 2003. Proceedings of the},
  year={2003},
  volume={1},
  pages={107-111 Vol.1}
}
The neighbourhood sequences have got a very important role in the digital picture processing. In this paper we give some new results from this area. We describe an ordering relation on the set of generalized nD-neighbourhood sequences. As this ordering does not have nice properties, we introduce another relation and prove that a complete distributive lattice can be obtained in this wax. Our investigations generalize the previous results of Das (1990) and Fazekas (1999) in 2D and 3D… CONTINUE READING

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