MATLAB: How to generate function of an ellipse

ellipsefunctionorientation

I know centre (x,y), semi-major and semi-minor axia(a,b) and the orientation of the ellipse (angle). How do I generate the function of the ellipse because there is an orientation involved in it.

Cheers

Jing

Best Answer

There is a function to draw such an ellipse in Matlab if you have the PDE toolbox, pdeellip(xc,yc,a,b,phi)

If you're looking for a more general math, non-Matlab specific answer for the equation of a rotated ellipse check Q21 here, hope that helps.

Related Solutions

MATLAB: Area of intersection of two ellipses

You can follow the below steps.

For the two ellipses i.e get coordinates of both the ellipses. Let L1, L2 be your coordinates of both the ellipses.
Use this function interx to get the the intersection points. This will give you four points. https://in.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections?focused=5165138&tab=function
Use this function to fit the ellipse. https://in.mathworks.com/matlabcentral/fileexchange/3215-fit_ellipse

MATLAB: How can i rotate an ellipse

Hello,

Use this:

 clc;
xc=50; %xCenter
yc=50; %yCenter
a=25; %xRad
b=100; %yRad
m = 1000;
x = zeros(m,1);
y = zeros(m,1);
theta = linspace(0,2*pi,m);
for k = 1:m
        x(k) = a * cos(theta(k));
        y(k) = b * sin(theta(k));
end
alpha = input('Enter the rotation angle');
R  = [cos(alpha) -sin(alpha); ...
      sin(alpha)  cos(alpha)];
rCoords = R*[x' ; y'];   
xr = rCoords(1,:)';      
yr = rCoords(2,:)';      
plot(x+xc,y+yc,'r');
grid on;
hold on;
axis equal;
plot(xr+xc,yr+yc,'b');

Red ellipse is the original one and Blue is the rotated one.

Source: Answer 208806

Best Answer

Related Solutions

MATLAB: Area of intersection of two ellipses

MATLAB: How can i rotate an ellipse

Related Question