What would be a best interpolation method to get test data for a specific temperature?

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Jason Burke 2021-5-5

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https://ww2.mathworks.cn/matlabcentral/answers/822315-what-would-be-a-best-interpolation-method-to-get-test-data-for-a-specific-temperature

编辑： Jason Burke 2021-5-6

I have 4 columns of test data (Temp, X, Y, Z). I want to create slices of data (X,Y,Z) for temperatures not collected (0, 40, 100). Each temperature would create a 3d dataset that I would want to graph as a surface. My data does not have the exact temperatures so how can I interpolate the data to get the data I am after?

My data is for each temp (-20, 60, 120, 160), X varried from 0 to 1 and Y varried from 1000 to 10000 and Z was measured. I would like to know how I can create the X, Y and Z data for different temperatures with X and Y varrying the same way.

Also for each temperature, X and Y do not varry the same. They are not gridded, One test run X might be 0.05, 0.34, 0.68 etc... whereas the next time it might be 0.02, 0.28, 0.57 etc...

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Answer 1

Star Strider 2021-5-5

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https://ww2.mathworks.cn/matlabcentral/answers/822315-what-would-be-a-best-interpolation-method-to-get-test-data-for-a-specific-temperature#answer_692745

在 MATLAB Online 中打开

I would just use interp1 —

TestData = sortrows(randi([0 200], 15, 4),1)
TestData = 15×4
    15   148    72    99
    40    97    95   190
    43   162    43   162
    57   107    19   197
    66   145    46   174
    81   119   150   111
    82     7   164    12
    84    57   200   155
    95   190   137    89
   105     2   123    49
InterpTemps = [0 40 100];
Interp_234 = interp1(TestData(:,1), TestData(:,2:4), InterpTemps, 'linear','extrap')
Interp_234 = 3×3
  178.6000   58.2000   44.4000
   97.0000   95.0000  190.0000
   96.0000  130.0000   69.0000
Result = [InterpTemps(:) Interp_234]
Result = 3×4
         0  178.6000   58.2000   44.4000
   40.0000   97.0000   95.0000  190.0000
  100.0000   96.0000  130.0000   69.0000

.

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Jason Burke 2021-5-6

Thanks for this. I won't have just one data row for each temperature. There will be many. I tried this and got an error saying the grid vectors must contain unique points.

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