Possible silly question
Posted: Thu Sep 16, 2010 9:12 pm
In a discussion over at DAZ, a person who maintains she and her geek friends are right, say that if you stop an unbiased render, the result is a biased render, because you took a shortcut in stopping the render. I say it's not. I've explained what unbiased is and what biased is and yet she maintains I'm wrong.
I wrote:
"Stopping it does not make it biased and is not taking a shortcut. Shortcuts, as often referred to in these discussions, are how a biased render engine gets to its results, meaning it cheats on figuring the computations for light, shadow, etc. A biased render engine will often ad blur, will dither or do some other shortcut to get to its result. An unbiased render just improves on what it has already computed with no bias. If you stop the render, it's still an unbiased render. Like I said before, the expected value of the unbiased estimator will always be the correct value, for any number of samples, which means you can end the render early and it will still be unbiased. When you stop an unbiased render you are stopping the sampling, but everything that made it unbiased in the first place has not changed."
What say you folks?
I wrote:
"Stopping it does not make it biased and is not taking a shortcut. Shortcuts, as often referred to in these discussions, are how a biased render engine gets to its results, meaning it cheats on figuring the computations for light, shadow, etc. A biased render engine will often ad blur, will dither or do some other shortcut to get to its result. An unbiased render just improves on what it has already computed with no bias. If you stop the render, it's still an unbiased render. Like I said before, the expected value of the unbiased estimator will always be the correct value, for any number of samples, which means you can end the render early and it will still be unbiased. When you stop an unbiased render you are stopping the sampling, but everything that made it unbiased in the first place has not changed."
What say you folks?