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1 | 1 | Transforms in 3D |
2 | 2 | ^^^^^^^^^^^^^^^^ |
3 | 3 |
|
4 | | -Transform 3D points between frames |
5 | | ----------------------------------- |
| 4 | +Functions for converting SE(3) poses ``(x, y, z, qw, qx, qy, qz)`` and 3D points |
| 5 | +``(x, y, z)`` between coordinate frames. Rotations are represented as unit |
| 6 | +quaternions. For the 2D counterpart see :doc:`01_transform_2d`. |
6 | 7 |
|
7 | | -.. autofunction:: py123d.geometry.transform.convert_absolute_to_relative_points_3d_array |
8 | 8 |
|
9 | | -.. autofunction:: py123d.geometry.transform.convert_relative_to_absolute_points_3d_array |
| 9 | +Convert SE3 poses between frames |
| 10 | +--------------------------------- |
10 | 11 |
|
11 | | -.. autofunction:: py123d.geometry.transform.convert_points_3d_array_between_origins |
| 12 | +Convert between absolute and relative coordinates: |
12 | 13 |
|
| 14 | +- :func:`~py123d.geometry.transform.abs_to_rel_se3_array` / |
| 15 | + :func:`~py123d.geometry.transform.abs_to_rel_se3` -- |
| 16 | + absolute → relative: :math:`T_\text{rel} = T_\text{origin}^{-1} \cdot T_\text{abs}` |
13 | 17 |
|
| 18 | +- :func:`~py123d.geometry.transform.rel_to_abs_se3_array` / |
| 19 | + :func:`~py123d.geometry.transform.rel_to_abs_se3` -- |
| 20 | + relative → absolute: :math:`T_\text{abs} = T_\text{origin} \cdot T_\text{rel}` |
14 | 21 |
|
15 | | -Transform SE3 poses between frames |
16 | | ----------------------------------- |
| 22 | +- :func:`~py123d.geometry.transform.reframe_se3_array` / |
| 23 | + :func:`~py123d.geometry.transform.reframe_se3` -- |
| 24 | + re-express poses from one reference frame to another. |
| 25 | + |
| 26 | +.. autofunction:: py123d.geometry.transform.abs_to_rel_se3_array |
| 27 | + |
| 28 | +.. autofunction:: py123d.geometry.transform.abs_to_rel_se3 |
| 29 | + |
| 30 | +.. autofunction:: py123d.geometry.transform.rel_to_abs_se3_array |
| 31 | + |
| 32 | +.. autofunction:: py123d.geometry.transform.rel_to_abs_se3 |
| 33 | + |
| 34 | +.. autofunction:: py123d.geometry.transform.reframe_se3_array |
| 35 | + |
| 36 | +.. autofunction:: py123d.geometry.transform.reframe_se3 |
| 37 | + |
| 38 | +Convert 3D points between frames |
| 39 | +--------------------------------- |
17 | 40 |
|
18 | | -.. autofunction:: py123d.geometry.transform.convert_absolute_to_relative_se3_array |
| 41 | +The same absolute/relative/reframe operations, applied to 3D points instead of |
| 42 | +SE3 poses: |
19 | 43 |
|
20 | | -.. autofunction:: py123d.geometry.transform.convert_relative_to_absolute_se3_array |
| 44 | +- :func:`~py123d.geometry.transform.abs_to_rel_points_3d_array` / |
| 45 | + :func:`~py123d.geometry.transform.abs_to_rel_point_3d` |
21 | 46 |
|
22 | | -.. autofunction:: py123d.geometry.transform.convert_se3_array_between_origins |
| 47 | +- :func:`~py123d.geometry.transform.rel_to_abs_points_3d_array` / |
| 48 | + :func:`~py123d.geometry.transform.rel_to_abs_point_3d` |
23 | 49 |
|
| 50 | +- :func:`~py123d.geometry.transform.reframe_points_3d_array` / |
| 51 | + :func:`~py123d.geometry.transform.reframe_point_3d` |
24 | 52 |
|
| 53 | +.. autofunction:: py123d.geometry.transform.abs_to_rel_points_3d_array |
| 54 | + |
| 55 | +.. autofunction:: py123d.geometry.transform.abs_to_rel_point_3d |
| 56 | + |
| 57 | +.. autofunction:: py123d.geometry.transform.rel_to_abs_points_3d_array |
| 58 | + |
| 59 | +.. autofunction:: py123d.geometry.transform.rel_to_abs_point_3d |
| 60 | + |
| 61 | +.. autofunction:: py123d.geometry.transform.reframe_points_3d_array |
| 62 | + |
| 63 | +.. autofunction:: py123d.geometry.transform.reframe_point_3d |
| 64 | + |
| 65 | + |
| 66 | +Translation along body-frame axes |
| 67 | +---------------------------------- |
25 | 68 |
|
26 | | -Translation along frame axes |
27 | | ----------------------------- |
| 69 | +Translate SE3 poses or 3D points along their local (body) coordinate axes. |
| 70 | +The orientation is preserved. |
28 | 71 |
|
29 | 72 | .. autofunction:: py123d.geometry.transform.translate_se3_along_body_frame |
30 | 73 |
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