Is there a way for Densifying data towards the ends
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Abdulaziz Abutunis
on 29 Sep 2021
Commented: Star Strider
on 30 Sep 2021
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
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/752464/image.png)
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Accepted Answer
Star Strider
on 29 Sep 2021
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 Comments
Star Strider
on 30 Sep 2021
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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