angle_to_matrix — REPRCONV `algebra` op

• Data kinds: angle → matrix

• Call: import reprconv; reprconv.angle_to_matrix(angle) (or opsreprconv.get("angle_to_matrix"))

Usage

Angle [deg] → the rotation `matrix (3,3) about the z-axis. The exit from angle`.

> The detailed description below is the original text — the summary and the headings are translated.

`angle_to_matrix(90)` は軸1(y)を軸2(x)へ送り、軸2(x)を −軸1(−y)へ

送る(`R @ [0,1,0] = [0,0,1]、R @ [0,0,1] = [0,-1,0]`、実測)。

2-D の :func:rot_scale_to_matrix と同じ `[[c,-s],[s,c]]` の向き

(軸 0 → 軸 1)を軸 (1, 2) に置いたもので、:func:matrix_to_angle の

`atan2(R[2,1], R[1,1])` もこの向きで往復する。度であることと

どちらの軸へ回るかが、この段落の全内容である。ラジアンを渡すと

例外は出ず、ただ 57.3 分の 1 だけ回った行列が返る。

Args:

angle: 度。

Returns:

(3, 3) float64、行列式 1 の直交行列。

Raises:

ValueError: スカラでない / 非有限。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• representation_roundtrip — py -3.11 examples/representation_roundtrip.py

Ops the type connects to (they accept `matrix` as input)

matrix_to_descriptor · matrix_to_angle · matrix_to_rot_scale

Same category (`algebra`)

matrix_to_angle · rot_scale_to_matrix · matrix_to_rot_scale · shift_to_vector · vector_to_shift · cscalar_to_polar · polar_to_cscalar · countrate_to_counts

*Provenance: reprconv.py — REPRCONV operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

angle_to_matrix — REPRCONV algebra op