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I have a list of $ (x, y) $, say {{x1, y1}, {x2, y2}, ..., {x1000, y1000}} and would like to make a density plot.

I understand that I may categorize the data into different groups first, and count the number of element in each group, then make a ListDensityPlot.

I would like to ask if there is other faster way to do it, or any built-in function can be used?

Thank you!

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  • 2
    $\begingroup$ It sounds like you are talking about a histogram rather than density plot. Histogram3D should plot your list as it is (without having to gather it into counts) $\endgroup$ – bill s Dec 12 '18 at 3:04
  • 5
    $\begingroup$ Try SmoothDensityHistogram. $\endgroup$ – Brett Champion Dec 12 '18 at 3:30
  • $\begingroup$ How about showing some sample data and the desired plotting? $\endgroup$ – Αλέξανδρος Ζεγγ Dec 12 '18 at 3:52
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Histogram3D[Table[RandomReal[{0, 1}, {2}], {1000}]]

enter image description here

which takes $0.078$ seconds.

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