quat_image_multiply — QUAT `algebra` op

• 資料種類:qimage × qimage → qimage

• 呼叫:import quatimage; quatimage.quat_image_multiply(qimage, other, side) -> 'np.ndarray'(或 opsquat.get("quat_image_multiply"))

四元數影像與一個四元數或一個場的 Hamilton 積。→ (H, W, 4)。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

`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'`.

• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。

• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。

• 演算法的正典(作者・年份)與用途見上面的族使用指南。

• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py

*Provenance: quatimage.py — QUAT 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*

quat_image_multiply — QUAT algebra op