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Interpolated reflections\refractions are like regular brute force reflections\ refractions, though one only uses them for glossy reflections\refractions.
I'm not sure of the exact nature of what happens , but my guess is that the raytracer samples less than with the brute force method, and uses the same smoothing\interpolation between the samples as with the GI to give you the smooth result.
My experience tells me that they tend to work best on flat surfaces, though if you use a bump map in conjunction, you may still get blotchy reflections\refractions. I may be totaly wrong though.
hehe you are. basically its used when using glossy reflections and refractions. Its a way of doing the glossys using interpolation to speed up the rendering of glossys. i cant get more technical than that. someone else will have to fill in the blanks there. but thats the basics.
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