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Question in ParametricPlot


Here is a problem I have that calls for knowing the internal algorithm 
used for ParametricPlot. When we do a ParametricPlot, mma automatically 
figures out which t to use to produce a smooth curve. I need the list of 
t(s) used. Is there a way to get them?

I know I can get a list of points {{x[t1],y[t1]}, {x[t2], y[t2]},...} by 

 someplot = ParametricPlot[....];

 Cases[ someplot, _Line,Infinity ] [[1]]

and solve for t, but this would be very inpractical. I am writing a 
series of animation generating functions on special plane curves. With 
the list of t, I can be much flexible and powerful in writing my 
programs. What I want is to have mma figure out the t(s) needed to make a 
smooth curve then pass them to my ploting program.

Thanks for any help.

 Xah Lee
 Permament email: 74631.731 at compuserve.com
 good till December 10: xyl10060 at tiptoe.fhda.com
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 Mountain View, CA 






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