Is there a way for Densifying data towards the ends

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Abdulaziz Abutunis
Abdulaziz Abutunis 2021-9-29
评论： Star Strider 2021-9-30
Hello
I have x-y data that I want to increase its number and make it denser towards the ends because I want to fit a polynomial and want to capture all the details at the ends so it matches the original curve. The reason I am increasing the # of data is that I want to unify with other data. Please see the attached figure I made trying to visualize my requist.
Thanks

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Star Strider
Star Strider 2021-9-29
I would use a weighting vector to weight the parts to be emphasized more heavily.
One way to do that could be:
N = 50; % Number Of Data Points
w = abs(linspace(-10, 10, N)); % Weighting Vector
It would also be possible to square ‘w’ instead of taking the absolute value.
Experiment to get the desired result.
.
  2 个评论
Abdulaziz Abutunis
Abdulaziz Abutunis 2021-9-30
Thank you for you response. I tried your steps and this gave me a more data at the middel I guess.
If you can advice me how to make it more dense towards the ends that will be helpful
Thank you again for the answer
Star Strider
Star Strider 2021-9-30
I am not certain what you are doing.
The point of my Answer was to weight the ends more than the rest of the vector, so they would be proportionally more influential in the parameter estimation. This is a relatively common practice.
That should not have resulted in more data, only in making the data seem denser (to the fitting function) at the ends, without actually changing anything.
.

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