Re: Huge file for a several-line plot
- To: mathgroup at smc.vnet.net
- Subject: [mg118562] Re: Huge file for a several-line plot
- From: Dushan Mitrovich <dushanm at spinn.net>
- Date: Tue, 3 May 2011 05:44:53 -0400 (EDT)
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 ]
>>
>>
>
>
>