In this paper we show a new geometric interpretation of the hexagonal and triangular grids. They can be considered as the sets of points of one (see (I. Her, 1995)), respectively two plane(s) in Z/sup 3/. By this approach we can build up a whole family of triangular grids (the so called n-planes triangular grids). The hexagonal and triangular grids are the first two members of this family, moreover, they are duals of each other. We investigate the three-planes grid, the third member of the family, and its dual in detail. We show that for n /spl ges/ 4 on, the n-planes triangular grids are non-planar.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    A family of triangular grids in digital geometry


    Contributors:
    Nagy, B. (author)


    Publication date :

    2003-01-01


    Size :

    368758 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    A Family of Triangular Grids in Digital Geometry

    Nagy, B. / IEEE | British Library Conference Proceedings | 2003


    Peripheral block over-relaxation methods for triangular grids

    Evans, D.J. / Biggins, M.J. | Tema Archive | 1981



    A Navier-Stokes solver for stretched triangular grids

    ZHANG, H. / TREPANIER, J. / REGGIO, M. et al. | AIAA | 1992


    Geometry Parameterization Using Control Grids

    Anderson, Kyle / Karman, Steve / Burdyshaw, Chad | AIAA | 2008