Name

rotation_between_anglesets - Find overall 3D rotation (phi theta psi) between two sets of Eulerian angles.

Usage

rotation = rotation_between_anglesets(set1, set2)

Input

set1

first angle list [[phi1, theta1, psi1], [phi2, theta2, psi2], ... ]

set2

second angle list [[[phi1, theta1, psi1], [phi2, theta2, psi2], ... ]

Output

rotation

overall rotation [phi, theta, psi]

Description

Find overall 3D rotation (phi theta psi) between two sets of Eulerian angles. The two sets have to be of the same length and it is assume that k'th element on the first list corresponds to the k'th element on the second list. The second list is considered as reference. It means the overall rotation phi, theta, psi has to be applied to the first list (set1) to get the resulting angles agree with the second list set2.

Note: all angles have to be in spider convention

Reference

Appendix in Penczek, P., Marko, M., Buttle, K. and Frank, J.: Double-tilt electron tomography. Ultramicroscopy 60:393-410, 1995.

Author / Maintainer

Julien

Keywords

category 1

UTILITIES

Files

utilities.py

Maturity

stable

works for most people, has been tested; test cases/examples available.

Bugs

None. It is perfect.