output a 4d rotation matrix given as input a rotation angle specified as a 4 dimensional input array in matlab

To output a 4D rotation matrix in Matlab, you can use the following code:

main.m
function rotMat = getRotationMatrix(rotAngle)
% ROTANGLE is a 4-dimensional input array [theta1, theta2, theta3, theta4]
% that specifies the rotation angles about each of the 4 axes in order.

% Compute the sine and cosine values of each angle
s = sin(rotAngle);
c = cos(rotAngle);

% Compute the rotation matrix elements
rotMat = [ c(2)*c(3)*c(4) - s(2)*s(4),   c(2)*c(3)*s(4) + s(2)*c(4),  -c(2)*s(3),  0;
           -c(1)*s(4) + s(1)*s(2)*c(4),  c(1)*c(4) + s(1)*s(2)*s(4),   s(1)*c(3),   0;
           s(1)*s(4) + c(1)*s(2)*c(4),   -s(1)*c(4) + c(1)*s(2)*s(4),  c(1)*c(3),   0;
           0,                            0,                             0,           1];
672 chars
14 lines

This function takes as input a 4-dimensional array rotAngle that specifies the rotation angles about each of the 4 axes in order. The output is a 4x4 rotation matrix rotMat that performs the desired rotation.

The matrix elements are computed using the sine and cosine values of each input angle using the formulas for Euler angles, which combine three basic rotations about the x, y, and z axes. To perform a rotation about the 4th axis, we use a 3D matrix rotation around the x, y and z axes. The output matrix is homogeneous, therefore the last row and column are all zeros except for the (4,4) element, which is 1.

gistlibby LogSnag