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matlabfor-looprotationplotaxes

Is there any way to make an iterative plot that rotates the axes at every iteration

I would like to make a plot then rotate the x-y axes by an angle; then make the same plot again on the rotated axes, then rotate axes again for the next similar plot

Something like this:

hold all;

for k= 0:1:10
    % rotate-axis-about-origin(angle * k)
    plot(XY(:,1),XY(:,2));
end

Is there any way to achieve what I am proposing?

Solution

  • Use a rotation matrix inside the loop:

    hold all;

% test vector and matrix
x = (1:10)';
y = x.^2;    
XY0 = [x y];

angle = 1/180*pi;   % 1 degree

for k= 0:1:10
    % rotate-axis-about-origin(angle * k)
    rot = [cos(angle*k) sin(angle*k);-sin(angle*k) cos(angle*k)];
    XY = XY0*rot;
    plot(XY(:,1),XY(:,2));
end

    XY0 is the original matrix and XY varies each step.

    Hope this is what you are looking for.