Non-regular grid data

Question

I have issue with non-regulary spaced data. I have set of 3 numbers {x, y, z} in my list.

data={{-33335.6,15525.1,20722.4},{-33231.7,15509.8,20723.5},<<99852>>,{-32909.4,26425.3,20957.6},{-33021.5,26438.1,20954.4}}

I can plot my data with ListDensityPlot.

I just want to get those data (interpolated) from the plot for further processing. If one uses

ListInterpolation[data, { {Min[xValues], 
   Max[xValues]}, {Min[yValues], Max[yValues]}}, 
 InterpolationOrder -> 2]

Interpolation is poor, I suppose because data are not on regular tensor grid. Is there way just to get what Mathematica is doing for ListDensityPlot ?

Answer 1

Using the data you provided :

data = {{20959.8`, 24054.4`, 2022.6`}, {20959.1`, 24054.6`, 2044.44`}, {20959.8`, 24053.`, 2026.29`}, 
        {20957.7`, 24054.6`, 2014.58`}, {20958.6`, 24054.`, 2034.33`}, {16958.4`,31988.8`, 2110.8` }, 
        {16803.8`, 31820.2`, 2107.43`}, {16650.3`, 31654.6`, 2102.42`}, {16496.8`, 31486.9`, 2101.77`},
        {16341.7, 31320., 2098.09}};

ListDensityPlot[data]

DensityPlot[Interpolation[data, InterpolationOrder -> All][x, y], {x, 16000, 21000}, {y, 24000, 32000}]