Large amount of coordinates transformation in 3D

Hello,

I am trying to perform transformation of large amount of coordinates, but firstly I am doing it on this small example:

I would like to rotate by 10 degrees about y axis x y z coordinates ( size is 8 x 3). How to perform such rotation? I have found rotation matrices but they are 3x3 and if I want to mupliply matrices [3x3] * [8x3] it is not possible.

Therefore I would like to ask you for help.

theta = 10;
A = [0 0 0; 1 1 1; 0 0 1; 1 1 0; 1 0 1; 0 1 0; 0 1 1; 1 0 0];
x = A(:,1);  y = A(:,2);  z  = A(:,3);

RY = [
    cosd(theta)     0     sind(theta)
    0 1 0;
    -sind(theta)     0     cosd(theta)];
ARY = RY*A;

Best regards

Michal

Answer 1

[Chunru]

Transpose A:

theta = 10;
A = [0 0 0; 1 1 1; 0 0 1; 1 1 0; 1 0 1; 0 1 0; 0 1 1; 1 0 0]';
x = A(:,1);  y = A(:,2);  z  = A(:,3);
RY = [
    cosd(theta)     0     sind(theta)
    0 1 0;
    -sind(theta)     0     cosd(theta)];
ARY = RY*A

ARY = 3×8

0 1.1585 0.1736 0.9848 1.1585 0 0.1736 0.9848 0 1.0000 0 1.0000 0 1.0000 1.0000 0 0 0.8112 0.9848 -0.1736 0.8112 0 0.9848 -0.1736

A

A = 3×8

0 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0

Answer 2

[Walter Roberson]

theta = 10;
M = makehgtform('yrotate', deg2rad(theta))

M = 4×4

0.9848 0 0.1736 0 0 1.0000 0 0 -0.1736 0 0.9848 0 0 0 0 1.0000

A = [0 0 0; 1 1 1; 0 0 1; 1 1 0; 1 0 1; 0 1 0; 0 1 1; 1 0 0];
x = A(:,1);  y = A(:,2);  z  = A(:,3); 
c = zeros(size(x));

xyzc = [x, y, z, c];
newxyz = xyzc * M

ans = 8×4

0 0 0 0 0.8112 1.0000 1.1585 0 -0.1736 0 0.9848 0 0.9848 1.0000 0.1736 0 0.8112 0 1.1585 0 0 1.0000 0 0 -0.1736 1.0000 0.9848 0 0.9848 0 0.1736 0

newx = newxyz(:,1); newy = newxyz(:,2); newz = newxyz(:,3);