Eugene d’Eon | Jaroslav Křivánek
In ACM SIGGRAPH 2020 Courses: Advances in Monte Carlo rendering: the legacy of Jaroslav Křivánek


In these course notes we present an intuitive approach to zero-variance estimator derivation to complement the theoretical literature. Included are several novel, previously unpublished results that expand on the previous work of the authors from 2014.

Highlights include:

  • Two new perfectly-zero-variance estimators for escaping half spaces with isotropic scattering
  • The first application of zero-variance theory to non-exponential random/correlated media (which also generalizes the exponential transform)
  • An exit-resampling modification of the Dwivedi scheme that reduces variance by 10-40x

Talk Video/h3>

Course notes (corrected)


Example Code

Mathematica implementations of exactly-zero-variance walks in half spaces with isotropic scattering:

Official Publication

ACM SIGGRAPH 2020 Courses
Article No.: 3
Pages 1–366