Non-Traditional Grids Embedded in Zn

@article{Nagy2008NonTraditionalGE,
  title={Non-Traditional Grids Embedded in Zn},
  author={Benedek Nagy and Robin Strand},
  journal={International Journal of Shape Modeling},
  year={2008},
  volume={14},
  pages={209-228}
}
The two-dimensional hexagonal grid and the three-dimensional face-centered cubic grid can be described by intersecting Z3 and Z4 with (hyper)planes. Corresponding grids in higher dimensions are examined. Also, we explain the connection between a number of well-known three-dimensional grids by using this construction. The union of four hyperplanes (in a circular way) gives the bcc grid. Based on these connections, several types of neighborhood structures are introduced on these grids. These… CONTINUE READING
Highly Cited
This paper has 27 citations. REVIEW CITATIONS

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 29 references

Distance Functions and Image Processing on Point-Lattices: with focus on the 3D face- and body-centered cubic grids

  • R. Strand
  • PhD thesis, Uppsala University,
  • 2008

Geometry of locally finite spaces (Publishing House Dr

  • V. A. Kovalevsky
  • Baerbel Kovalevski, Berlin,
  • 2008

A symmetric coordinate frame for hexagonal networks, in Proc. of ISTCS’04, Theoretical Computer Science - Information Society, Ljubljana, Slovenia

  • B. Nagy
  • 2004

Similar Papers

Loading similar papers…