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What is antialiasing?

What is antialiasing? Here are some definitions.

Noun
  1. (computer graphics) any technique that reduces the appearance of jagged edges in digital images caused by high-contrast borders between pixels.
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We now have 3D hardware capable of simultaneous MIP-mapping, anisotropic filtering, and antialiasing in real time, at 60 frames per second in many titles.
It offers up to 50 percent performance improvement in ray tracing with antialiasing, as well as other feature improvements.
Edge antialiasing only works at the edges of primitives, but jaggies can happen also at intersections of polygons.
I was wondering if anyone can explain what it is exactly that anisotropic filtering and antialiasing do.
The old-fashioned method of antialiasing is called super sampling.
We believe that running at higher levels of antialiasing would generate unplayable frame rates, so we didn't test with higher settings.

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