~/rendering/04$ lesson --theater
4 due● 1 live
Nova
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Why Random Rays Make Real Pictures

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VAR0.0031
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so the estimator is unbiased — wrong on every frame, right on average.
  1. Think of one pixel. Light reaches it along infinitely many paths.
  2. We can't integrate that. So we guess — randomly.
  3. Each guess is wrong. But the errors cancel on average.
  4. That's what unbiased means: wrong on every frame, right on average.
  5. Now the catch: how fast does the average settle?
  6. Variance drops as 1/N. Noise, its square root, as 1/√N.
  7. Halve the noise → four times the samples.
  8. Which is why every renderer ships a denoiser.
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04:12
12:40ch 2 · the estimator
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