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Deterministic Monte Carlo sampling uses a pre-defined set of random samples, which allows producing the exact same result when re-rendering an image. The difference with pure Monte Carlo sampling is that Monte Carlo uses pseudo-random numbers which are different for every evaluation and so re-rendering a single image will always produce slightly different results in the noise. By default, the Deterministic Monte Carlo method used by V-Ray is a modification of Schlick sampling, introduced by Christophe Schlick.
V-Ray is an adaptive sampling engine. This means that whenever V-Ray needs to compute a value, like the color of a pixel, or the light reflected from a surface, V-Ray will take a varying number of samples for that value, depending on the context. The adaptive algorithm that V-Ray uses is very straightforward: for any effect that requires several samples, V-Ray first computes a small amount of samples, and then, if the variance of the samples is too big, it continues to take more samples until the result is good enough.
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More information on deterministic Monte Carlo sampling for computer graphics can be found from the sources listed below.
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