If I understand well, what takes time here is the computation of the plot.

Now, have you considered building some kind of representation of the plot (say, 
in terms of shapes) ? In this case, you would have :

* A thread building an abstract representation of the data
* the graphical thread whose work would only be to draw the said representation 
in a JPanel or JComponent.

If your plot is really a bitmap, you could consider a thread which would render 
small parts of it in small bitmap areas which would then be available to the 
event loop to render ?
[Message sent by forum member 'rosmord' (rosmord)]

http://forums.java.net/jive/thread.jspa?messageID=301777

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