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    Screen-space blue-noise diffusion of monte carlo sampling error via hierarchical ordering of pixels

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    papers_437s4-file1.pdf
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    56.77Mb
    Format:
    PDF
    Description:
    Accepted manuscript
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    Type
    Article
    Authors
    Ahmed, Abdalla G.M. cc
    Wonka, Peter cc
    KAUST Department
    Computer Science Program
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2020-11-26
    Permanent link to this record
    http://hdl.handle.net/10754/666257
    
    Metadata
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    Abstract
    We present a novel technique for diffusing Monte Carlo sampling error as a blue noise in screen space. We show that automatic diffusion of sampling error can be achieved by ordering the pixels in a way that preserves locality, such as Morton's Z-ordering, and assigning the samples to the pixels from successive sub-sequences of a single low-discrepancy sequence, thus securing well-distributed samples for each pixel, local neighborhoods, and the whole image. We further show that a blue-noise distribution of the error is attainable by scrambling the Z-ordering to induce isotropy. We present an efficient technique to implement this hierarchical scrambling by defining a context-free grammar that describes infinite self-similar lookup trees. Our concept is scalable to arbitrary image resolutions, sample dimensions, and sample count, and supports progressive and adaptive sampling.
    Citation
    Ahmed, A. G. M., & Wonka, P. (2020). Screen-space blue-noise diffusion of monte carlo sampling error via hierarchical ordering of pixels. ACM Transactions on Graphics, 39(6), 1–15. doi:10.1145/3414685.3417881
    Sponsors
    Thanks to the anonymous reviewers for the valuable comments. We credit reviewer #1 for pointing out the advantage of arithmetic hashing for GPU implementation. Thanks to the scientific editing team at KAUST for proofreading the paper and to Mohanad Ahmed for his insightful discussions.
    Publisher
    Association for Computing Machinery (ACM)
    Journal
    ACM Transactions on Graphics
    DOI
    10.1145/3414685.3417881
    Additional Links
    https://dl.acm.org/doi/10.1145/3414685.3417881
    ae974a485f413a2113503eed53cd6c53
    10.1145/3414685.3417881
    Scopus Count
    Collections
    Articles; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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