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Increasing number of data points by linear interpolation method

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I have attached a mat file. There are 7 datapoints in the matrix. This is a 7x2 matrix. How can I make it may be 70x2 matrix by linear interpolation method?
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Star Strider
Star Strider on 12 Aug 2022
Creating data where none previously existed by interpolating it rather than performing more experiments or doing more observations to add new data is not appropriate.

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Answers (3)

John D'Errico
John D'Errico on 12 Aug 2022
Edited: John D'Errico on 12 Aug 2022
The problem is, as voiced by others, is it depends on why you are doing this. Certainly you can use interpolation tools to perform interpolation.
Name Size Bytes Class Attributes CPSH20152016 7x2 112 double ans 1x41 82 char cmdout 1x33 66 char
What I see is a rather difficult to interpret set of points. Are these to be seen as a polygon, perhaps a reflection of some hysteresis phenomenon? Or is it just that the points are in no specific order, and we have what appears to be a rather noisy relationship?
Importantly though, you should NEVER use interpolation to create more data from sparse data. What you get will be a curve that depends more on the characteristics of the interpolant you use, then it does contain any information content. You gain no information content by interpolation.
If your goal is to merely create a pretty plot, then go ahead. Use an appropriate interpolation scheme. Here, that would depend on what the data means. Note that if you had problems in trying to use interp1, my guess is you wanted the result to follow the polygonal path. Interp1 does NOT do that kind of interpolation. For that, you will need to use tools like cscvn, or my own interparc, as found on the file exchange.
But again, you need to understand why it is you want to do that interpolation, and remember that you gain no signal from doing so.

Image Analyst
Image Analyst on 13 Aug 2022
See my attached spline demos. You can tell it how many points you want.

Alan Stevens
Alan Stevens on 12 Aug 2022
doc interp1
Rik on 12 Aug 2022
What problems did you have following the examples?
For the record: I share the concern voiced by Star Strider. Creating data is almost never a good idea. The only situation I can think of is if you want to generate example data, but that seems unlikely here.

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