In the February 2008 issue of Notices of AMS, David Austin explains how JPEG achieves the compression (pdf); apparently, the algorithm is based on discrete cosine transform (DCT) and not discrete Fourier transform (DFT); and, JPEG 2000 uses discrete wavelets transform. An interesting article!

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Tags: DCT, DFT, JPEG, JPEG 2000, wavelets

This entry was posted on January 2, 2008 at 7:33 pm and is filed under Computing, Mathematics. You can follow any responses to this entry through the RSS 2.0 feed.
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January 7, 2008 at 10:13 pm |

[…] The second item is a paper in the February 2008 issue of Notices of AMS where David Austin explains how JPEG and JPEG2000 compress image data. It is a short (just over three pages) look at the compression algorithms from a mathematical point of view. (This comes via a posting in Entertaining Research.) […]