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How can I adjust the contour shading to appear like below?

Enter image description here

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  • $\begingroup$ You should also look into DensityPlot. $\endgroup$
    – user484
    Feb 3 '16 at 0:52
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Try this

 ContourPlot[Cos[x - y] + Sin[x^2 + 3 y], {x, -3, 3}, {y, -3, 3},
 PlotTheme -> "Monochrome",ContourStyle -> Directive[White, Opacity@.1]]

enter image description here

You can also use ColorFunction -> ColorData["GrayTones"] for gray shades or even write your own following the reference.

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