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I want to visualize the following graphics:

ContourPlot3D[Cos[t x] == Sin[t y], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, {t, -2 Pi, 2 Pi}, 
 ColorFunction -> "Rainbow"]

It takes long time before the results come out, and, when I rotate the 3d graphics, it moves quite slowly.

What measures can I take to speed up the calculation, as well as a smoother rotation? (I don't need high fidelity 3d graphics).

Thanks.

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  • $\begingroup$ Look up the following options (within the ContourPlot3D doc page): PerformanceGoal, PlotPoints, MaxRecursion. $\endgroup$
    – Szabolcs
    Commented Aug 21, 2018 at 7:30
  • $\begingroup$ @Szabolcs Thanks for your advice, I found that PlotPoints will improve the precision of the 3d graphics. $\endgroup$
    – PureLine
    Commented Aug 21, 2018 at 15:06

1 Answer 1

Reset to default
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Set the value of the option PerformanceGoal to "Speed":

ContourPlot3D[Cos[t x] == Sin[t y], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, {t, -2 Pi, 2 Pi}, 
  ColorFunction -> "Rainbow"] // AbsoluteTiming

enter image description here

ContourPlot3D[Cos[t x] == Sin[t y], {x, -2 Pi, 2 Pi}, {y, -2 Pi, 2 Pi}, {t, -2 Pi, 2 Pi}, 
  ColorFunction -> "Rainbow", PerformanceGoal -> "Speed"] // AbsoluteTiming

enter image description here

Default value of the option is "Quality":

Options[ContourPlot3D, PerformanceGoal]

{PerformanceGoal :> $PerformanceGoal}

$PerformanceGoal

"Quality"

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  • $\begingroup$ thanks for your advice. I got the point. $\endgroup$
    – PureLine
    Commented Aug 21, 2018 at 15:05

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