Rotating a 2 demential shape 30 degrees counter clockwise
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Hello. I am new to the Matlab community and I was having a bit of trouble rotating an irregular 2 dimensional shape. The coordinates a x = [0 0 2 2 0 -2 -2 0] and y = [0 2 2 3 5 3 1 0]. I have to rotate this 30 degrees counter clockwise on the same axis. Any suggestions? Thanks
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Alex
2016 年 7 月 26 日
編集済み: Alex
2016 年 7 月 26 日
This should rotate the points 30 degrees. R is using the rotation matrix to update the pairs of x,y coordinates.
z = [x; y];
thetad = 30;
R =[cosd(thetad) -sind(thetad); sind(thetad) cosd(thetad)];
for i = 1: 8
z(:,i) = R * z(:,i);
end
plot(z(1,:),z(2,:))
Here's another post that does it a little differently: http://www.mathworks.com/matlabcentral/answers/296860-rotating-a-2d-shape?s_tid=answers_rc1-1_p1
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Alex
2016 年 7 月 27 日
You can also use makehgtform to get the rotation matrix, which could be useful if you needed to perform more transformations on the matrix at once. Just make sure you convert your degrees to radians.
Example:
z = [x;y];
M = makehgtform('zrotate', (pi/6));
for i = 1:8
z(:,i) = M(1:2,1:2) * z(:,i);
end
plot(z(1,:),z(2,:))
Here's some more info for working with makehgtform: http://www.mathworks.com/help/matlab/ref/makehgtform.html
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