Experimentation on generating two-dimensional quasi-random sequences

Vũ Hoài Chương

Abstract


Halton/Hammersley sequences, the most well-known and widely used multi-dimensional quasirandom sequences, are constructed by combining van der Corput sequences with on another or with $k/N$ sequence. We attempt to generate two-dimensional sequences by combining two simple one-dimensional sequences ($k/N$, mid-point, $V$, van der Corput, Richtmyer, pseudorandom sequences) and experimentally receive many lowest discrepancy sequences.




DOI: https://doi.org/10.15625/1813-9663/27/2/501 Display counter: Abstract : 44 views. PDF : 34 views. PDF (Tiếng Việt) : 41 views.

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology