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Groups > comp.soft-sys.math.mathematica > #2045

Re: Huge file for a several-line plot

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Heike Gramberg wrote:
> How are you plotting the graphs? If I use the following:
>
> pt[s_, t_] := CoordinatesToCartesian[{s, t, 0}, Bipolar][[{1, 2}]]
>
> ParametricPlot[pt[s, t], {s, 0, 2 Pi}, {t, -5, 5},
>   PlotRange ->  {{-10, 10}, {-8, 8}}, Mesh ->  22,
>   PlotStyle ->  Opacity[0], MeshStyle ->  Darker[Gray],
>   PlotPoints ->  100, ImageSize ->  600]
>
> I end up with a file of about 631 kB on Mathematica 8.0.1 for OS X.
>
> Heike
>    

That size is a lot more reasonable, especially for a much larger value of
'PlotPoints' than I used.

Here are the instructions I used (the first two could be lumped into one):

     {x[s_, t_], y[s_, t_]} := {(w Sinh[s])/(Cosh[s] + Cos[t]),
       (w Sin[t])/(Cosh[s] + Cos[t])}

     xy[s_, t_] := {x[s, t], y[s, t]}

     ParametricPlot[{Table[xy[i/4, t], {i, 1, 10}] /. w->1,
       Table[xy[s, \[Pi]/6*j], {j, 0, 11}] /. w -> 1}, {s, 0., 10},
       {t, -\[Pi], \[Pi]}, PlotRange -> {{0, 4.2}, {-2, 2}}, PlotPoints 
-> 30]

Comparing with your sample instructions above, I didn't recognize anything
as a crucial difference.  Suggestions?

- Dushan

> On 2 May 2011, at 11:51, Dushan Mitrovich wrote:
>    
>> I wanted to plot a number of the orthogonal coordinate lines of a
>> Bi-polar coordinate system - a total of 22 curves.  All the curves
>> are circles.  With PlotPoints unspecified, some of the circles had
>> polygonal parts, so to eliminate this I added the option PlotPoints->50.
>>   That took a long time to plot (on a 4-CPU Mac Pro),
>> and generated a notebook size of 10.5 MB.  (Using PlotPoints->30 drops
>> the size to 4.5 MB.)
>>
>> With that plot cell deleted the size is 53 KB.  The file labels
>> the graphic as 'CompressedData', but there simply isn't that much
>> information in the plot.  It's as tho Mathematica were storing every
>> pixel of the plot, with very inefficient compression.
>>
>> With that plot the spinning beachball (computer busy) would appear
>> every few seconds, and it was impossible to alter the graphic size.
>>
>> How can I instruct Mathematica to make more sensible choices for
>> generating and storing the plot?
>>
>> - Dushan
>>    [ reverse the middle word of address to reply ]
>>
>>      
>
>
>    

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Re: Huge file for a several-line plot Dushan Mitrovich <dushanm@spinn.net> - 2011-05-03 09:44 +0000

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