discretize an ellipse in matlab

To discretize an ellipse in MATLAB, we can use an algorithm based on geometry. Here is an example code that discretizes an ellipse with given semi-major and semi-minor axes lengths and produces points on the boundary of the ellipse:

main.m
% input parameters
a = 3;  % semi-major axis
b = 2;  % semi-minor axis
npoints = 100;  % number of points to generate

% compute points on the boundary using ellipse equation
theta = linspace(0, 2*pi, npoints);
x = a*cos(theta);
y = b*sin(theta);

% plot discretized ellipse
plot(x, y, '-o');
axis equal;
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This code generates npoints equally spaced points on the boundary of the ellipse using the parametric equation (x = acosθ, y = bsinθ), where θ ranges from 0 to 2π. The resulting points are then plotted using MATLAB's plot function. By adjusting the value of npoints, we can control the level of discretization of the ellipse.

Note that this algorithm assumes that the ellipse is centered at origin; if the ellipse is located at a different position, then we can translate the generated points accordingly.