Browsing by Author "Bouville, Christian"

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  • Marques, Ricardo; Bouville, Christian; Ribardière, Mickaël; Santos, Luís Paulo; Bouatouch, Kadi (Institute of Electrical and Electronics Engineers (IEEE), 2013)
    The Monte Carlo method has proved to be very powerful to cope with global illumination problems but it remains costly in terms of sampling operations. In various applications, previous work has shown that Bayesian Monte ...
  • Marques, Ricardo; Bouville, Christian; Bouatouch, Kadi (Wiley, 2018)
    This paper proposes optimal quadrature rules over the hemisphere for the shading integral. We leverage recent work regarding the theory of quadrature rules over the sphere in order to derive a new theoretical framework ...
  • Marques, Ricardo; Bouville, Christian; Bouatouch, Kadi (Institute of Electrical and Electronics Engineers (IEEE), 2019)
    We propose a theoretical framework, based on the theory of Sobolev spaces, that allows for a comprehensive analysis of quadrature rules for integration over the sphere. We apply this framework to the case of shading ...
  • Marques, Ricardo; Bouville, Christian; Ribardière, Mickaël; Santos, Luís Paulo (Wiley, 2013)
    Quasi-Monte Carlo (QMC) methods exhibit a faster convergence rate than that of classic Monte Carlo methods. This feature has made QMC prevalent in image synthesis, where it is frequently used for approximating the value of ...