What kind of Interpolation Algorithm Will be Applicable for the Following data set to obtain smooth curve?
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suraj karki
el 27 de Oct. de 2022
Comentada: suraj karki
el 27 de Oct. de 2022
Hello there,
I have a following data set,
x =
[443.0000 443.9000 482.0000 496.6000 560.0000 561.4000 654.6000 664.5000 703.9000 740.2000 782.5000 835.1000 864.7000 864.8000 1608.9000 1613.7000 2200.7000 2202.4 ]
y =
[1.0464 1.0641 0.9832 0.9631 0.9370 0.9358 0.9611 0.9574 0.9820 0.9955 1.0287 1.0034 1.0021 1.0063 1.0372 1.0336 1.0343 1.0290 ]
This plot represents the actual data set
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1171468/image.jpeg)
Now I was doing shape preserving interpolation
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1171473/image.jpeg)
In this case, this type of interpolation following the actual data, At this point I want to perform different interpolation algorithm which helps to smoothing the interpolating data set.
Could you please share any idea?
Thank you.
1 comentario
John D'Errico
el 27 de Oct. de 2022
Editada: John D'Errico
el 27 de Oct. de 2022
If the algorithm changes the data (i.e., smooths it) then it is not interpolation.
Respuesta aceptada
Bruno Luong
el 27 de Oct. de 2022
Editada: Bruno Luong
el 27 de Oct. de 2022
It looks like your data has a couples of pairs/tripples that are closely spread.
I suggest to merge thme to a single point then fit the data that are merged.
x = [443.0000 443.9000 482.0000 496.6000 560.0000 561.4000 654.6000 664.5000 703.9000 740.2000 782.5000 835.1000 864.7000 864.8000 1608.9000 1613.7000 2200.7000 2202.4 ];
y = [1.0464 1.0641 0.9832 0.9631 0.9370 0.9358 0.9611 0.9574 0.9820 0.9955 1.0287 1.0034 1.0021 1.0063 1.0372 1.0336 1.0343 1.0290 ];
[xu,~,J]=uniquetol(x,10,'DataScale',1);
xi=linspace(min(x),max(x),500);
yu=accumarray(J(:),y(:),[],@mean);
yi=interp1(xu,yu,xi,'makima');
plot(x,y,'or',xi,yi,'b');
3 comentarios
Bruno Luong
el 27 de Oct. de 2022
You are welcome
PS: I just edit the code to take the average of y before interpolation.
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