In this paper, two algorithms are presented for generating two code scan lists of an N dimensional Hilbert cell, and a formal proof of the backward encoding algorithm is given. On the basis of the self similarity prop...In this paper, two algorithms are presented for generating two code scan lists of an N 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, the N dimensional Hilbert mappings are efficiently implemented.展开更多
文摘In this paper, two algorithms are presented for generating two code scan lists of an N 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, the N dimensional Hilbert mappings are efficiently implemented.
