detector_orientation_matrix#

anri.geom.detector_orientation_matrix(o11, o12, o21, o22)[source]#

Return a matrix that transforms detector (slow, fast) pixel values to (z_det, y_det).

This accounts for the varying possible readout directions and origins of the detector. We get a vector coming back in the format \(\left(z_{\text{det}}, y_{\text{det}}, 0\right)\). See Geometry for more details about FABLE geometry. In ImageD11, you can find this in ImageD11.transform.compute_xyz_lab()

Parameters:

  • o11 (float) – 11 element of orientation matrix

  • o12 (float) – 12 element of orientation matrix

  • o21 (float) – 21 element of orientation matrix

  • o22 (float) – 22 element of orientation matrix

Returns:

jax.Array – 3x3 image orientation matrix, with the 4 specified elements in the top-left corner.

Notes

\[\begin{split}\begin{pmatrix} o_{11} & o_{12} & 0 \\ o_{21} & o_{22} & 0 \\ 0 & 0 & 1 \end{pmatrix} \begin{pmatrix} s \\ f \\ 0 \end{pmatrix} = \begin{pmatrix} z_{\text{det}} \\ y_{\text{det}} \\ 0 \end{pmatrix}\end{split}\]