Best fit of ellipse equation to given data
13 visualizaciones (últimos 30 días)
Mostrar comentarios más antiguos
Serg
el 27 de Dic. de 2020
Comentada: Bruno Luong
el 12 de En. de 2021
Hello everyone,
For the given ellipse equation denoted as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/471482/image.png)
with additional parameters of mc and PIc to include a rotation of the ellipse:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/471487/image.png)
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
0 comentarios
Respuesta aceptada
Bruno Luong
el 27 de Dic. de 2020
There is one implementation I posted here
5 comentarios
Bruno Luong
el 12 de En. de 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.
Más respuestas (0)
Ver también
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!