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Editorial Team
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Asked: 2026-05-27T22:17:08+00:00

I have a (i x j) sized matrix mat which contains values from an

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I have a (i x j) sized matrix mat which contains values from an experiment.

If I use ListPlot3D[mat] I can visualise this in a 3D plot.

I also have two arrays of size i (aRow) and of size j (aCol) which I determined from my experiment.

How do I replace the default x and y axis shown with ListPlot3D[mat] with aRow and aCol?

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1 Answer

  1. Editorial Team

    Please take a look at the Ticks option and it example uses in the docs.

    Here’s one way to do it. First generate some example data:

    mat = Table[Exp[-(x^2 + y^2)], {x, -2, 2, .1}, {y, -2, 2, .1}];    
aCol = aRow = Round[mat[[20]], 0.01];

    Plot it in 3D. I chose to show every 10th tick mark out of all possible ones. list[[;; ;; 10]] selects every 10th element of a list.

    ListPlot3D[mat,
 Ticks -> {
   Transpose[{Range@Length[aRow], aRow}][[;; ;; 10]],
   Transpose[{Range@Length[aCol], aCol}][[;; ;; 10]],
   Automatic}]

    Mathematica graphics

    Plot it in 2D too. ListDensityPlot has a Frame (not Axes) by default, so we use FrameTicks

    ListDensityPlot[mat,
 FrameTicks -> {
   Transpose[{Range@Length[aRow], aRow}][[;; ;; 10]],
   Transpose[{Range@Length[aCol], aCol}][[;; ;; 10]],
   None, None},
 Mesh -> Automatic]

    Mathematica graphics

    Update

    If you don’t need arbitrary ticks, just a different range for the usual, linearly spaces tick marks, then you can use the DataRange option like this:

    ListPlot3D[mat, DataRange -> {{0, 1}, {0, 1}}]

    Mathematica graphics

    If you still need the data in an {x,y,z} format (because the coordinates are not evenly spaced), you can build it using

    Join @@ MapThread[Append, {Outer[List, aRow, aCol], mat}, 2]
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