Lecture 13: Global Illumination and Path Tracing (82)
theandrewchan
The finiteness of the estimator is only in the expected number of recursive steps, right? Hypothetically if you got really unlucky with a constant prr you could continue for an arbitrary number of steps.
raghav-cs184
Hi Andrew. If you think about convergence conditions in probability, the probability that you will continue for a non-finite number of steps converges to 0 in probability and almost surely!
The finiteness of the estimator is only in the expected number of recursive steps, right? Hypothetically if you got really unlucky with a constant prr you could continue for an arbitrary number of steps.
Hi Andrew. If you think about convergence conditions in probability, the probability that you will continue for a non-finite number of steps converges to 0 in probability and almost surely!