Clear Filters
Clear Filters

How to rotate a surface(or a 2D plane) in 3D Cartesian coordinate ?

71 views (last 30 days)
Hi everyone,
I am trying the tilt a 2 dimension plane or surface by some small incremental angle along a particular axis (1. about x - axis and 2. about y-axis) using the rotation matrix formula.
for example,
% the 3D volume has a dimension of - 64 x 64 x 64
% the plane is placed inside the 3D volume and is defined as a set of points
y = 24:1:40;
x(1, 1:size(y,2)) = 32;
z(1, 1:size(y,2)) = 20;
plane = [x; y; z];
So, when I try to rotate this plane about a particular axis using the rotation matrix, R = [cos(theta) -sin(theta) 0; sin(theta) cos(theta) 0; 0 0 1], I am not able to find the new values of the x, y and z point for the considered plane correctly.
I also have confusion about the rotation (pitch, yaw and roll).
Therefore, if someone could please help me understand the concept about the rotation and suggest a correct way to appraoch the problem.
Thank you.

Accepted Answer

darova on 5 Sep 2021
See this example:
R = @(a) [cosd(a) -sind(a); sind(a) cosd(a)];
t = 0:.1:2*pi;
[x,y] = pol2cart(t,5+sin(5*t));
v1 = R(15)*[x;y]; % rotate around Z axis
z = x*0;
v2 = R(15)*[x;z]; % rotat around Y axis
S on 8 Sep 2021
Hey Darova ..
Thank you very much for answering my doubts ..
Let me try the approach you have suggested to solve my problem ..
Thanks once more

Sign in to comment.

More Answers (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!