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I've found that if there is PlotStyle command in the input, anti-aliasing will not work.

However if the Style code is None, it's OK.

No style:

enter image description here

Style:

enter image description here

How do I adjust the input to resolve the problem?

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Image for Style->None www3.picturepush.com/photo/a/13066756/640/13066756.png –  user7511 May 17 '13 at 15:10
    
Are you talking about Style or PlotStyle? Please be specific. If you're talking about PlotStyle, have you tried changing anything else than the opacity? Maybe your video driver auto-disables anti-aliasing for scenes with transparency to improve performance. –  Szabolcs May 17 '13 at 15:17
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Please edit your question to make this clear then. Style is a built-in symbol which can be applied to graphics as well. –  Szabolcs May 17 '13 at 15:19
    
Thank you for the edit. This is most likely a limitation of your hardware or drivers (or a problem with how Mathematica uses them). Unfortunately it is unlikely that you can do much about it. For exporting anti-aliased graphics, you can try this solution. With my previous computer it was simply not possible to have anti-aliasing in 3D graphics. –  Szabolcs May 17 '13 at 15:23
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Any difference with: Style[Plot3D[x + y, {x, -1, 1}, {y, -1, 1}, PlotStyle -> Opacity[0.5]], RenderingOptions -> {"Graphics3DRenderingEngine" -> "BSPTree"}]? –  Brett Champion May 17 '13 at 15:45
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