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    Unbiased Sampling and Meshing of Isosurfaces

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    Name:
    2014.TVCG.Yan.IsosurfaceSampling.pdf
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    7.893Mb
    Format:
    PDF
    Description:
    Accepted Manuscript
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    Type
    Article
    Authors
    Yan, Dongming cc
    Wallner, Johannes
    Wonka, Peter cc
    KAUST Department
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Computer Science Program
    Date
    2014-05-07
    Online Publication Date
    2014-05-07
    Print Publication Date
    2014-11-01
    Permanent link to this record
    http://hdl.handle.net/10754/563841
    
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    Abstract
    In this paper, we present a new technique to generate unbiased samples on isosurfaces. An isosurface, F(x,y,z) = c , of a function, F , is implicitly defined by trilinear interpolation of background grid points. The key idea of our approach is that of treating the isosurface within a grid cell as a graph (height) function in one of the three coordinate axis directions, restricted to where the slope is not too high, and integrating / sampling from each of these three. We use this unbiased sampling algorithm for applications in Monte Carlo integration, Poisson-disk sampling, and isosurface meshing.
    Citation
    Yan D-M, Wallner J, Wonka P (2014) Unbiased Sampling and Meshing of Isosurfaces. IEEE Transactions on Visualization and Computer Graphics 20: 1579–1589. Available: http://dx.doi.org/10.1109/TVCG.2014.2322357.
    Sponsors
    The authors thank the anonymous reviewers for their valuable comments and suggestions. They are grateful to Takashi Michikawa and Hiromasa Suzuki for providing them an implementation of marching cubes, the authors of "afront" [5] for making it publicly available, Miriah Meyer for sharing data with them, and Jianwei Guo for helping on the DDA [36] software. This work was supported by the KAUST Visual Computing Center, the National Natural Science Foundation of China (no. 61372168, 61331018, 61271431, and 61272327), and the U.S. National Science Foundation.
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    IEEE Transactions on Visualization and Computer Graphics
    DOI
    10.1109/TVCG.2014.2322357
    ae974a485f413a2113503eed53cd6c53
    10.1109/TVCG.2014.2322357
    Scopus Count
    Collections
    Articles; Computer Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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