The BFO PDF Library can create TIFF images from PDF using a number of compression algorithms, including Group 4. If for some reason you want to use Group 3 compression you'll need to use a third party library like JAI. This article shows you how.
The JPEG 2000 compression algorithm was designed in 2000 as a successor to the venerable JPEG algorithm, which dates back to 1992. It's designed to compress "continuous tone" images such as photographs, and supports both a lossy (like JPEG) and a lossless format. We covered a bit on image compression in a previous article. Adobe added support for JPEG 2000 compressed images in Acrobat 5.0, (calling it JPX compression), and it's becoming more and more common to find PDF Documents containing photographic images compressed with this algorithm.