rotate by a certain angle a plane in space around a node P

Question

Alberto Acri 2023-10-7

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2030479-rotate-by-a-certain-angle-a-plane-in-space-around-a-node-p

评论： Alberto Acri 2023-10-7

HI! I have a plane normal to a node (point P) in the figure.

line = importdata("line_G.mat");
plane = importdata("plane_G.mat");
P = [24.2914 -21.7784 81.7641];
figure
plot3(line(:,1),line(:,2),line(:,3),'k.','Markersize',10);
hold on
patch(plane(:,1), plane(:,2),plane(:,3),'r');
plot3(P(:,1),P(:,2),P(:,3),'k*','Markersize',10);
hold off
axis equal

How can I rotate the plane in the two directions X and Y by an angle alpha and beta? The plane, consequently, rotates around point P and is no longer normal.

For example, I wanted to use the code found here, but it seems I did something wrong.

v = plane;
% create a matrix which will be used later in calculations
center = P;
% define a 60 degree counter-clockwise rotation matrix
theta = pi/3;       % pi/3 radians = 60 degrees
R = [cos(theta) -sin(theta); sin(theta) cos(theta)];
% do the rotation...
s = v - center;     % shift points in the plane so that the center of rotation is at the origin
so = R*s;           % apply the rotation about the origin
vo = so + center;   % shift again so the origin goes back to the desired center of rotation
% this can be done in one line as:
% vo = R*(v - center) + center
% pick out the vectors of rotated x- and y-data
x_rotated = vo(1,:);
y_rotated = vo(2,:);
% make a plot
plot(x, y, 'k-', x_rotated, y_rotated, 'r-', x_center, y_center, 'bo');
axis equal