Plot an ellipse in "center form"

version 1.0.0.0 (2.09 KB) by Nima Moshtagh
Draws 2D and 3D ellipses that are given in "center form".

7.5K Downloads

Updated 16 Nov 2007

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Ellipse_plot(A,c)

This function draws an N-dimensional ellipse (N = 2,3) that is given in "center form":

(x - C)' A (x - C) <= 1

where C is the center of the ellipse, and A is an NxN positive definite symmetric matrix.

A and C could be the outputs of the function: "MinVolEllipse.m", which computes the minimum volume enclosing ellipsoid containing a set of points in an N-dimensional space. For example, you can use this function as follows:

P = rand(3,100);
t = 0.001;
[A , C] = MinVolEllipse(P, t)
figure
plot3(P(1,:),P(2,:),P(3,:),'*')
hold on
Ellipse_plot(A,C)

Cite As

Nima Moshtagh (2022). Plot an ellipse in "center form" (https://www.mathworks.com/matlabcentral/fileexchange/13844-plot-an-ellipse-in-center-form), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Minimum Volume Enclosing Ellipsoid

Inspired: fakenmc/amvidc, Ellipsoid Method

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