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analysis and synthesis of digital dyadic sequences kaust high performance visualization group kaust high performance visualization group about us people research teaching join us analysis and synthesis of digital dyadic sequences abdalla g m ahmed mikhail skopenkov markus hadwiger and peter wonka acm transactions on graphics vol 42 no 6 proceedings acm siggraph asia 2023 pp 218 1 218 17 2023 we 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 in computer graphics they are arguably leading the competition for use in rendering we 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 based on this analysis we then show that every digital dyadic net can be reordered into a sequence together with a corresponding algorithm finally we present a novel family of self similar digital dyadic sequences to be named xi sequences that spans a subspace with fewer degrees of freedom those xi sequences are extremely efficient to sample and compute and we demonstrate their advantages over the classic sobol 0 2 sequence cite paper article ahmed2023digitaldyadicsequences title analysis and synthesis of digital dyadic sequences author ahmed abdalla g m and skopenkov mikhail and hadwiger markus and wonka peter journal acm transactions on graphics proceedings acm siggraph asia 2023 year 2023 volume 42 number 6 pages 218 1 218 17 pdf cannot be displayed this website is not an official website of king abdullah university of science and technology and the university bears no responsibility or liability for any content which may appear herein 2021 high performance visualization group visual computing center kaust building 1 al khawarizmi level 2 4700 king abdullah university of science and technology thuwal 23955 6900 kingdom of saudi arabia