Difference between revisions of "Dcm2euler.m"
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{{DISPLAYTITLE:dcm2euler.m}} __NOTOC__ | {{DISPLAYTITLE:dcm2euler.m}} __NOTOC__ | ||
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Converts directional cosine matrix into Euler angles, ZYZ active convention (rotating the object rather than the axes). | Converts directional cosine matrix into Euler angles, ZYZ active convention (rotating the object rather than the axes). | ||
==Syntax== | ==Syntax== | ||
| − | [ | + | [alpha,beta,gamma]=dcm2euler(dcm) |
| + | |||
| + | OR | ||
| + | |||
| + | angles=dcm2euler(dcm) | ||
==Arguments== | ==Arguments== | ||
| − | dcm - directional cosine matrix | + | dcm - directional cosine matrix |
==Outputs== | ==Outputs== | ||
| − | alpha, beta, gamma - Euler angles in ZYZ active con- | + | alpha, beta, gamma - Euler angles in ZYZ active con- |
vention, radians | vention, radians | ||
| − | + | ||
angles - a row vector of Euler angles in | angles - a row vector of Euler angles in | ||
| − | ZYZ active convention, ordered | + | ZYZ active convention, ordered |
as alpha, beta, gamma, in radians | as alpha, beta, gamma, in radians | ||
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| − | |||
| − | |||
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==Notes== | ==Notes== | ||
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The problem of recovering Euler angles from a DCM is, in general, ill-posed. This function is a product of considerable work, it has passed rigorous testing: it either returns a correct answer or gives an informative error. See the notes on [[rotation conventions]] for the basic definitions of rotations in ''Spinach''. | The problem of recovering Euler angles from a DCM is, in general, ill-posed. This function is a product of considerable work, it has passed rigorous testing: it either returns a correct answer or gives an informative error. See the notes on [[rotation conventions]] for the basic definitions of rotations in ''Spinach''. | ||
==See also== | ==See also== | ||
| − | |||
[[euler2dcm.m]], [[euler2wigner.m]], [[dcm2wigner.m]] | [[euler2dcm.m]], [[euler2wigner.m]], [[dcm2wigner.m]] | ||
''Version 2.3, authors: [[Ilya Kuprov]]'' | ''Version 2.3, authors: [[Ilya Kuprov]]'' | ||
Revision as of 15:48, 5 April 2026
Converts directional cosine matrix into Euler angles, ZYZ active convention (rotating the object rather than the axes).
Syntax
[alpha,beta,gamma]=dcm2euler(dcm)
OR
angles=dcm2euler(dcm)
Arguments
dcm - directional cosine matrix
Outputs
alpha, beta, gamma - Euler angles in ZYZ active con-
vention, radians
angles - a row vector of Euler angles in
ZYZ active convention, ordered
as alpha, beta, gamma, in radians
Notes
The problem of recovering Euler angles from a DCM is, in general, ill-posed. This function is a product of considerable work, it has passed rigorous testing: it either returns a correct answer or gives an informative error. See the notes on rotation conventions for the basic definitions of rotations in Spinach.
See also
euler2dcm.m, euler2wigner.m, dcm2wigner.m
Version 2.3, authors: Ilya Kuprov
