BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Australia/Melbourne X-LIC-LOCATION:Australia/Melbourne BEGIN:DAYLIGHT TZOFFSETFROM:+1000 TZOFFSETTO:+1100 TZNAME:AEDT DTSTART:19721003T020000 RRULE:FREQ=YEARLY;BYMONTH=4;BYDAY=1SU END:DAYLIGHT BEGIN:STANDARD DTSTART:19721003T020000 TZOFFSETFROM:+1100 TZOFFSETTO:+1000 TZNAME:AEST RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20240214T070240Z LOCATION:Darling Harbour Theatre\, Level 2 (Convention Centre) DTSTART;TZID=Australia/Melbourne:20231212T093000 DTEND;TZID=Australia/Melbourne:20231212T124500 UID:siggraphasia_SIGGRAPH Asia 2023_sess209_papers_128@linklings.com SUMMARY:Analysis and Synthesis of Digital Dyadic Sequences DESCRIPTION:Technical Papers\n\nAbdalla Ahmed (King Abdullah University of Science and Technology (KAUST)) and Mikhail Skopenkov, Markus Hadwiger, a nd Peter Wonka (KAUST)\n\nWe explore the space of matrix-generated $(0, m, 2)$-nets and $(0, 2)$-sequences in base 2, also known as digital dyadic n ets and sequences.\nIn computer graphics, they are arguably leading the co mpetition for use in rendering.\nWe provide a complete characterization of the design space and count the possible number of constructions with and without considering possible reorderings of the point set. \nBased on this analysis, we then show that every digital dyadic net can be reordered int o a sequence, together with a corresponding algorithm.\nFinally, we presen t a novel family of self-similar digital dyadic sequences, to be named $\x i$-sequences, that spans a subspace with fewer degrees of freedom.\nThose $\xi$-sequences are extremely efficient to sample and compute, and we demo nstrate their advantages over the classic Sobol $(0, 2)$-sequence.\n\nRegi stration Category: Full Access, Enhanced Access, Trade Exhibitor, Experien ce Hall Exhibitor URL:https://asia.siggraph.org/2023/full-program?id=papers_128&sess=sess209 END:VEVENT END:VCALENDAR