MATLAB: Rotation of a set of 3D points about a point

3d plotsMATLABrotation

Is there a matlab syntax to rotate a set of points for a given angle about one of the points? Example: three points [30 40 50] [25 38 50] [35 20 50] angle:30 degrees so if i want to rotate the first two points with respect to the third point, can anyone please tell me how?

Best Answer

Here is the solution

http://www.mathworks.com/matlabcentral/answers/277331-rotating-a-2d-plot-around-origo

Related Solutions

MATLAB: Rotation about a point

If you want the equations they are as follows;

X = [1 2 7 1];
Y = [1 4 2 1];
ang = -60  % degrees

Xc = 1;  % X cener of rotation
Yc = 3;  % Y center of rotation
% Shift X/Y to the rotation center
Xshift = X - Xc;        
Yshift = Y - Yc;
% Rotate the coordinates
Xsrot =  Xshift*cosd(ang) + Yshift*sind(ang);
Ysrot = -Xshift*sind(ang) + Yshift*cosd(ang);
% Shift the rotated coordinates back to the original reference center
Xrot = Xsrot + Xc;
Yrot = Ysrot + Yc;

Now X,Y is the original triangle and Xrot,Yrot is the rotated triangle

This can be shortened to:

X = [1 2 7 1];
Y = [1 4 2 1];
ang = -60;  % degrees
Xc = 1;
Yc = 3;
Xrot =  (X-Xc)*cosd(ang) + (Y-Yc)*sind(ang) + Xc;
Yrot = -(X-Xc)*sind(ang) + (Y-Yc)*cosd(ang) + Yc;

MATLAB: How to change the default origin of the axis of rotation in 3d plot matlab

You need to make a new 3d vector to define the origin and then add it as the fourth input parameter.

    hSurface = surf(peaks(20));
direction = [1 0 0];
origin = [0 0 0]; %set origin of axis of rotation to plot origin instead of the center of object
rotate(hSurface,direction,25,origin); %add the vector to the parameters

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Related Solutions

MATLAB: Rotation about a point

MATLAB: How to change the default origin of the axis of rotation in 3d plot matlab

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