algebra op• データ種: qimage × qimage → qimage
• 呼び出し: import fullseye as fs; fs.ledger.quat_image_multiply(qimage, other, side) -> 'np.ndarray' (実装を直接呼ぶなら import quatimage; quatimage.quat_image_multiply(qimage, other, side) -> 'np.ndarray'、台帳から引くなら 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 _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'.
• quaternion_monogenic ファミリ ガイド
• 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
qimage を入力に取れる)quaternion_to_rgb · quat_norm · quat_conjugate_image · quat_normalize_image · monogenic_amplitude · monogenic_phase · monogenic_orientation · quat_color_rotate
algebra)quat_conjugate_image · quat_normalize_image
*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)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.