monogenic_amplitude — QUAT riesz op

数据种类:qimageimage2d

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

用法

单演信号的局部幅度 `sqrt(f^2 + R1^2 + R2^2)`。→ (H, W)。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

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`).

详细使用指南

quaternion_monogenic 族使用指南

参考(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者・年份)与用途见上面的族使用指南

可运行的示例(实际调用该算子并已验证的样例)

quaternion_monogenicpy -3.11 examples/quaternion_monogenic.py

类型可衔接的下一个算子(可接受 image2d 作为输入)

riesz_transform · monogenic_signal

同类别(riesz)

riesz_transform · monogenic_signal · monogenic_phase · monogenic_orientation


*Provenance: quatimage.py — QUAT 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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