MATLAB: 2d Coordinate rotation in clockwise direction

MATLABrotation

How do I rotate a 2d coordinate about the origin in a clockwise direction, I have data points for the origin as [start_x = 24.000;

,start_y = 16.000] and target lorcation [target_x = 27.000,target_y = 16.000], but I want to rotate my target at an angle of 45 degrees clockwise about the origin and I am wondering if there is a way to get a function for the new target coodinates.

Best Answer

th = pi/4 ;
R = [cos(th) -sin(th) ;sin(th) cos(th)] ;

Multiply your points with the above R. Read about rotation matrix: https://en.wikipedia.org/wiki/Rotation_matrix

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Hi Reuben,

You're almost there.

The basic idea is to subtract the rotation point value from the target point, so that you ARE rotating about the origin. Then do the rotation, and add the offset back.

target_x = 27.000;
target_y = 16.000;
start_x = 24.000;
start_y = 16.000;
p = [target_x target_y]';
rotPt = [start_x start_y]';
theta = pi/4 ;
R = [cos(theta) -sin(theta); sin(theta) cos(theta)];
pTmp = p - rotPt;
pRotTmp = R * pTmp; %this is the proper multiplication order
pRot = pRotTmp + rotPt;

With this you get

pRot =
   26.1213
   18.1213

Best Answer

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