riesz op• データ種: qimage → image2d
• 呼び出し: import quatimage; quatimage.monogenic_amplitude(qimage) -> 'np.ndarray' (または opsquat.get("monogenic_amplitude"))
モノジェニック信号の局所振幅 `sqrt(f^2 + R1^2 + R2^2)`。→ (H, W)。
> 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。
The local contrast at the signal's scale, and the confidence map for
:func:monogenic_phase / :func:monogenic_orientation, which mean nothing
where this is at the rounding floor. Raw / unnormalised (a contrast is a
metric quantity), in the same spirit as `complexops.cx_magnitude`.
For a unit-contrast grating at the band centre it is exactly 1.0 (measured
spread 8.9e-16 over a 64x64 frame) and, unlike a squared oriented-filter
response, it is *isotropic*: rotating the grating does not change it.
Measured over eight grid-exact orientations the amplitude spans
`[0.99999999999999911, 1.0000000000000011]` — a total spread of 2.0e-15
across all of them, which is the isotropy claim as a number.
Raises `ValueError`: the input is not a valid quaternion field, or its
`k component is non-zero (see :func:_require_monogenic`).
• 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
image2d を入力に取れる)riesz_transform · monogenic_signal
riesz)riesz_transform · monogenic_signal · monogenic_phase · monogenic_orientation
*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.