Difference between revisions of "Euler angles convention"
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(Created page with "''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depicti...") |
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''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this. | ''Dynamo'' uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this. | ||
# tdrot (for rotation of tilt direction) | # tdrot (for rotation of tilt direction) | ||
| − | The particle rotates clockwise about its z axis. | + | #;The particle rotates clockwise about its z axis. |
# tilt | # tilt | ||
| − | the particle rotates clockwise about its new x axis. | + | #;the particle rotates clockwise about its new x axis. |
# narot (for rotation about NewAxis) | # narot (for rotation about NewAxis) | ||
| − | the particle rotates clockwise about its new z axis. | + | #;the particle rotates clockwise about its new z axis. |
In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention. | In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention. | ||
Revision as of 17:54, 28 April 2016
Dynamo uses a ZXZ convention to express the rotation in terms of Euler angles. A triplet of Euler angles is read as [tdrot, tilt, narot], with the following visual depiction: imagine a particle with an axis aligned with the z direction. The action of the triplet of angles of this particle would be like this.
- tdrot (for rotation of tilt direction)
- The particle rotates clockwise about its z axis.
- tilt
- the particle rotates clockwise about its new x axis.
- narot (for rotation about NewAxis)
- the particle rotates clockwise about its new z axis.
In the context of subtomogram averaging, they are understood as the rotation that we need to operate on the template in order to align it with the particle. This is also the convention in AV3. XMIPP uses the opposite convention.
