Difference between revisions of "Anax2dcm.m"
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{{DISPLAYTITLE:anax2dcm.m}} __NOTOC__ | {{DISPLAYTITLE:anax2dcm.m}} __NOTOC__ | ||
| − | Converts angle-axis rotation parameters | + | Converts angle-axis rotation parameters to a direction cosine matrix in the active convention, matching the one used by [[euler2dcm.m]] function. Angle should be in radians, axis is normalized by the function. |
==Syntax== | ==Syntax== | ||
| − | + | dcm=anax2dcm(rot_axis,rot_angle) | |
| − | == | + | ==Parameters== |
| − | + | rot_axis - cartesian direction vector given as | |
| − | row or column with three real | + | a row or column with three real ele- |
| + | ments | ||
rot_angle - rotation angle in radians | rot_angle - rotation angle in radians | ||
| Line 15: | Line 16: | ||
==Outputs== | ==Outputs== | ||
| − | + | dcm - directional cosine matrix | |
==Notes== | ==Notes== | ||
| − | Both angle-axis and DCM convention are numerically stable. This conversion has no singularities. | + | |
| + | Both angle-axis and DCM convention are numerically stable. This conversion has no singularities. See the notes on [[rotation conventions]] for the basic definitions of rotations in ''Spinach''. | ||
| + | |||
| + | The resulting rotation matrix is a 3x3 matrix to be used as follows: | ||
| + | |||
| + | v=R*v (for 3x1 vectors) | ||
| + | A=R*A*R' (for 3x3 interaction tensors) | ||
| + | |||
| + | Matlab's Aerospace Toolbox quat2dcm() returns the transpose of this matrix for the same rotation. | ||
==See also== | ==See also== | ||
| − | |||
| + | [[euler2dcm.m]], [[dcm2euler.m]], [[wigner.m]], [[dcm2wigner.m]], [[anax2quat.m]], [[axis_tsymm.m]], [[euler_sup.m]], [[quat2anax.m]], [[rotmat_align.m]], [[rotor_stack.m]], [[xyz2sph.m]], [[Kernel_utilities]] | ||
''Version 2.3, authors: [[Ilya Kuprov]]'' | ''Version 2.3, authors: [[Ilya Kuprov]]'' | ||
Latest revision as of 06:31, 30 August 2026
Converts angle-axis rotation parameters to a direction cosine matrix in the active convention, matching the one used by euler2dcm.m function. Angle should be in radians, axis is normalized by the function.
Syntax
dcm=anax2dcm(rot_axis,rot_angle)
Parameters
rot_axis - cartesian direction vector given as
a row or column with three real ele-
ments
rot_angle - rotation angle in radians
Outputs
dcm - directional cosine matrix
Notes
Both angle-axis and DCM convention are numerically stable. This conversion has no singularities. See the notes on rotation conventions for the basic definitions of rotations in Spinach.
The resulting rotation matrix is a 3x3 matrix to be used as follows:
v=R*v (for 3x1 vectors)
A=R*A*R' (for 3x3 interaction tensors)
Matlab's Aerospace Toolbox quat2dcm() returns the transpose of this matrix for the same rotation.
See also
euler2dcm.m, dcm2euler.m, wigner.m, dcm2wigner.m, anax2quat.m, axis_tsymm.m, euler_sup.m, quat2anax.m, rotmat_align.m, rotor_stack.m, xyz2sph.m, Kernel_utilities
Version 2.3, authors: Ilya Kuprov
