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DTSTAMP:20260114T163640Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231213T155500
DTEND;TZID=Australia/Melbourne:20231213T161000
UID:siggraphasia_SIGGRAPH Asia 2023_sess145_papers_128@linklings.com
SUMMARY:Analysis and Synthesis of Digital Dyadic Sequences
DESCRIPTION:Abdalla Ahmed (King Abdullah University of Science and Technol
 ogy (KAUST)) and Mikhail Skopenkov, Markus Hadwiger, and Peter Wonka (KAUS
 T)\n\nWe explore the space of matrix-generated $(0, m, 2)$-nets and $(0, 2
 )$-sequences in base 2, also known as digital dyadic nets and sequences.\n
 In computer graphics, they are arguably leading the competition for use in
  rendering.\nWe provide a complete characterization of the design space an
 d count the possible number of constructions with and without considering 
 possible reorderings of the point set. \nBased on this analysis, we then s
 how that every digital dyadic net can be reordered into a sequence, togeth
 er with a corresponding algorithm.\nFinally, we present a novel family of 
 self-similar digital dyadic sequences, to be named $\xi$-sequences, that s
 pans a subspace with fewer degrees of freedom.\nThose $\xi$-sequences are 
 extremely efficient to sample and compute, and we demonstrate their advant
 ages over the classic Sobol $(0, 2)$-sequence.\n\nRegistration Category: F
 ull Access\n\nSession Chair: Young J. Kim (Ewha Womans University)\n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_128&sess=sess145
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