monogenic_amplitude — QUAT riesz op

資料種類:qimageimage2d

呼叫:import quatimage; quatimage.monogenic_amplitude(qimage) -> 'np.ndarray'(或 opsquat.get("monogenic_amplitude"))

用法

單演訊號的局部振幅 `sqrt(f^2 + R1^2 + R2^2)`。→ (H, W)。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

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`).

詳細使用指南

quaternion_monogenic 族使用指南

參考(範例資料・文獻)

• 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

可執行的範例(實際呼叫該運算子並已驗證的樣例)

quaternion_monogenicpy -3.11 examples/quaternion_monogenic.py

型別可銜接的下一個運算子(可接受 image2d 作為輸入)

riesz_transform · monogenic_signal

同類別(riesz)

riesz_transform · monogenic_signal · monogenic_phase · monogenic_orientation


*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)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.