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Superimposing lines/circles/boxes on PlotIntensity

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Suppose I am using PlotIntensity to plot a 2D function (like a Gaussian), and I'd like to draw on top of it some other information (like contour lines for the 1/e and 1/e^2 curves).  

 

Perhaps importantly, the PlotIntensity data may be coarsely sampled (say a 64 x 64 grid) but I'd like the superimposed curves to have a narrow/thin line thickness.

 

Is there any way to accomplish this?


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