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Draw angled ellipses around clusters on PCA plot

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Reed Trende
Reed Trende 2023-11-23
回答： Matt J 2023-11-29
I would like to draw angled ellipses around clusters in a PCA plot representing the 95% CI for this cluster, similar to what is done by autoplot in R (also, see attached example, or this link https://r-charts.com/correlation/scatter-plot-ellipses-ggplot2/). Any resources for how to do this in matlab, or the math behind how to do this would be much appreciated!
As a note: I did see a post on this forum where people drew ellipses in line with the axes where the height of the ellipse is the 95% CI in X and the width is the 95% CI in Y; this is NOT what I would like, I would like the ellipses at an angle that fits the shape of the clusters, as shown in my examples

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采纳的回答

Mathieu NOE
Mathieu NOE 2023-11-24

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Matt J
Matt J 2023-11-29
编辑：Matt J 2023-11-29
Ran in:
See also elliipticalFit from the FEX downloadable,
https://www.mathworks.com/matlabcentral/fileexchange/87584-object-oriented-tools-for-fitting-conics-and-quadrics
It can also be used to plot ellipses as well as fit them, e.g.,
[Center,Axes,Angle]=deal([0 2] , [2 1], 30); %Ellipse parameters
plot( ellipticalFit.groundtruth([],Center,Axes,Angle) );
Matt J
Matt J 2023-11-29
Ran in:
Using polyshapes:
ellipse=rotate( scale(nsidedpoly(1000),[2,1]) ,30);
plot(ellipse)

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