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    STD: Student's t-Distribution of Slopes for Microfacet Based BSDFs

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    Date
    2017
    Author
    Ribardière, Mickael
    Bringier, Benjamin
    Meneveaux, Daniel
    Simonot, Lionel
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    Abstract
    This paper focuses on microfacet reflectance models, and more precisely on the definition of a new and more general distribution function, which includes both Beckmann's and GGX distributions widely used in the computer graphics community. Therefore, our model makes use of an additional parameter g, which controls the distribution function slope and tail height. It actually corresponds to a bivariate Student's t-distribution in slopes space and it is presented with the associated analytical formulation of the geometric attenuation factor derived from Smith representation.We also provide the analytical derivations for importance sampling isotropic and anisotropic materials. As shown in the results, this new representation offers a finer control of a wide range of materials, while extending the capabilities of fitting parameters with captured data.
    BibTeX
    @article {10.1111:cgf.13137,
    journal = {Computer Graphics Forum},
    title = {{STD: Student's t-Distribution of Slopes for Microfacet Based BSDFs}},
    author = {Ribardière, Mickael and Bringier, Benjamin and Meneveaux, Daniel and Simonot, Lionel},
    year = {2017},
    publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
    ISSN = {1467-8659},
    DOI = {10.1111/cgf.13137}
    }
    URI
    http://dx.doi.org/10.1111/cgf.13137
    https://diglib.eg.org:443/handle/10.1111/cgf13137
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    • 36-Issue 2

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