Mathematica 9 is now available
Technology Guide--The Technology Inside Matters
Adaptive Plot Refinement (APR)
Adaptive Plot Refinement (APR)

Mathematica is able to apply adaptive plot refinement to detect localized features with minimal sampling. A non-Mathematica system utilizing the same number of points fails to resolve the same details.

Adaptive plot refinement (APR) fine-tunes graphics plotted in Mathematica. The result is improved smoothness, better intelligibility, and a reduction of artifacts compared with standard graphics programs.

When plotting a function, Mathematica automatically analyzes that function to make sure the image is smooth and easy to understand while preserving as much information as possible. Techniques used include adaptive resampling and automatic selection of optimal plot ranges, as well as system-wide support of regions and discontinuous functions.



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