“My Favorite Samples” by Ahmed, Keller, Georgiev, Christensen and Pharr

  • ©Abdalla Ahmed, Alexander Keller, Iliyan Georgiev, Per H. Christensen, and Matt Pharr



Entry Number: 15


    My Favorite Samples

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    Light transport simulation is ruled by the radiance equation, which is an integral equation. Photorealistic image synthesis consists of computing functionals of the solution of the integral equation, which involves integration, too. However, in meaningful settings, none of the integrals can be computed analytically and, in fact, all these integrals need to be approximated using Monte Carlo and quasi-Monte Carlo methods. Generating uniformly distributed points in the unit-hypercube is at the core of all of these methods. The course teaches the algorithms behind and elaborates on the characteristics of different classes of uniformly distributed points to help selecting the points most efficient for a task.

    In this course we will survey algorithms for generating sampling points in the unit cube that may be used for numerical integration. With a focus on image synthesis and light transport simulation, the main objective is to deliver an understanding of what kind of samples may be used in what situation.

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    Research & Education

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