Non-Traditional Grids Embedded in Zn

  title={Non-Traditional Grids Embedded in Zn},
  author={Benedek Nagy and Robin Strand},
  journal={International Journal of Shape Modeling},
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
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Distance Functions and Image Processing on Point-Lattices: with focus on the 3D face- and body-centered cubic grids

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