quat_image_multiply — QUAT `algebra` op

• データ種: qimage × qimage → qimage

• 呼び出し: import quatimage; quatimage.quat_image_multiply(qimage, other, side) -> 'np.ndarray' (または opsquat.get("quat_image_multiply"))

四元数画像と、四元数 1 個または場との Hamilton 積。→ (H, W, 4)。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

`side="left" computes other * qimage; side="right"` computes

`qimage * other. **There is no default** — see :func:_require_side`. The

two results are genuinely different objects, not a sign convention: measured

on a standard-normal `(32, 32, 4)` field against a unit rotor,

`max|left - right| = 3.143 and mean|left - right| = 0.4948` on data

whose own extreme is 3.372 — that is, the two answers differ by as much as

the data itself. Neither raises, neither is NaN, and both look like a

perfectly good quaternion image.

*other* is either a single quaternion (a `(4,)` array-like) or a full

`(H, W, 4)` field of the same shape; anything else is refused rather than

broadcast, because NumPy would happily broadcast a `(H, 4)` array along the

wrong axis and produce an image-shaped answer to a different question.

Raises `ValueError`: either input is not a valid quaternion field;

*other* is neither `(4,) nor exactly qimage`'s shape; *side* is not

`'left' / 'right'`.

• サンプルデータカタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py

*Provenance: quatimage.py — QUAT operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

quat_image_multiply — QUAT algebra op