Image processing on bifurcation diagram to get small eps size

Posted by yCalleecharan on Stack Overflow See other posts from Stack Overflow or by yCalleecharan
Published on 2010-06-16T15:20:07Z Indexed on 2010/06/16 15:22 UTC
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Hello, I'm producing bifurcation diagrams (which are normally used in nonlinear dynamics). These diagrams identify abrupt changes in topologies due to stability changes. These abrupt changes occur as one or more parameters pass through some critical value(s). An example is here:

http://en.wikipedia.org/wiki/File:LogisticMap_BifurcationDiagram.png

On the above figure, some image processing has been done so as to make the plot more visually pleasant. A bifurcation diagram usually contains hundreds of thousands of points and the resulting eps file can become very big. Journal submission in the LaTeX format require that figures are to be submitted in the eps format. In my case one of such figures can result in about 6 MB in Matlab and even much more in Gnuplot.

For the example in the above figure, 100,000 x values are calculated for each r and one can imagine that the resulting eps file would be huge. The site however explains some image processing that makes the plot more visually pleasing. Can anyone explain to me stepwise how go about? I can't understand the explanation provided in the "summary" section.

Will the resulting image processing also reduce the figure size?

Furthermore, any tips on reducing the file size of such a huge eps figure?

Thanks a lot...

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