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If only one sample is taken for the each of the pixels around the edge of the sphere, the choice of pixel color is limited to the dark gray at the edge of the object, or the (white) background. Using one of these colors (i.e. taking only one sample) makes the image look jagged. This is the equivalent of no anti-aliasing at all.
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If you set the Threshold to a high value, you are effectively telling V-Ray not to anti-alias textures. You can use this fact to speed up the rendering of complex materials. Note however, that this disables anti-aliasing of V-Ray shadows, reflections, etc. as well.
Textures
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