ISSN:1009-5020 CN:42-1610/P

Generating and analyzingN-dimensional Hilbert cell

Generating and analyzingN-dimensional Hilbert cell

  • 摘要: In this paper, two algorithms are presented for generating two code scan lists of anN-dimensional Hilbert cell, and a formal proof of the backward encoding algorithm is given. On the basis of the self-similarity properties of a Hilbert curve, this paper gives a novel algorithm for generating a static evolvement rule table through analyzing a Hilbert cell. By looking up the static evolvement rule table, theN-dimensional Hilbert mappings are efficiently implemented.

     

    Abstract: In this paper, two algorithms are presented for generating two code scan lists of anN-dimensional Hilbert cell, and a formal proof of the backward encoding algorithm is given. On the basis of the self-similarity properties of a Hilbert curve, this paper gives a novel algorithm for generating a static evolvement rule table through analyzing a Hilbert cell. By looking up the static evolvement rule table, theN-dimensional Hilbert mappings are efficiently implemented.

     

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