Best fit of ellipse equation to given data
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Hello everyone,
For the given ellipse equation denoted as follows:
with additional parameters of mc and PIc to include a rotation of the ellipse:
I need to find
- a and b (semi-major and semi-minor axes),
- y0 and x0 (center coordinates), and
- theta(rotation angle)
to have best fitted ellipse into my data which is give in the form of PI = f(m) with around 5-8 test points per dataset.
Given the fact that my data has various shapes I do not expect the ellipse to be very precise, but still I would like the best I can get out of this method. I have tried to achieve that with Curve Fitting app, using Custom Equation option, but the equation I have put into it was too complex (some errors occurred).
Can you please advice, what would be the most convenient way to achieve my goal?
Kind Regards
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Accepted Answer
Bruno Luong
on 27 Dec 2020
There is one implementation I posted here
5 Comments
Bruno Luong
on 12 Jan 2021
"Just to assure myself:
- "radii" contains semi-major and semi-minor axes;
- "xc" and "yc" are center points;
- "U" contains trygonometric functions of rotation angle;
Is that correct?"
Yes, you correctly understand.
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