Elastic Stretch Data in 2D

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Tarik Zengin
Tarik Zengin 2020-4-26
Hi everyone,
Say, I have a data as shown in the figure below.
I want to strecth this data to a perfect square.
I got the fitting curve for the arc parts, which is:
xx1 = 0:.001:5-.001;
xx2 = flip(-xx1);
xx = [xx2 xx1];
p1 = 0.068;
p2 = 6.28e-17;
p3 = 3.3;
fit = (p1*xx.^2 + p2*xx + p3)';
plot(xx,fit,'r');
Adding this curve to the original data wouldn't work. I want to stretch it elastically. It's kind of difficult to explain. I hope I could explain it.

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