Metric and non-metric distances on Z/sup n/ by generalized neighbourhood sequences

@article{Nagy2005MetricAN,
  title={Metric and non-metric distances on Z/sup n/ by generalized neighbourhood sequences},
  author={B{\'e}la Nagy},
  journal={ISPA 2005. Proceedings of the 4th International Symposium on Image and Signal Processing and Analysis, 2005.},
  year={2005},
  pages={215-220}
}
The neighbourhood sequences have got a very important role in the digital image processing. In this paper we give some new results from this area. Using neighbourhood sequences on the n dimensional digital spaces, we give a formula to compute distances of any pairs of points. By practical reasons we underline the special cases of 2 and 3 dimensional digital spaces. It is known that there are non-metrical distances defined by neighbourhood sequences. Furthermore, in this paper we are answering… CONTINUE READING

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