riesz op• 資料種類:qimage → image2d
• 呼叫:import quatimage; quatimage.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray'(或 opsquat.get("monogenic_phase"))
單演訊號的局部相位 `atan2(|R|, f)`。→ (H, W)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
In `[0, pi]` — the monogenic phase is measured against the *magnitude* of
the Riesz vector, whose sign is carried by the orientation instead, so the
range is a half turn rather than a full one. That is the standard
convention (Felsberg & Sommer) and it is stated here because a caller
arriving from `complexops.cx_phase (whose raw range is (-pi, pi]`) will
otherwise assume a full turn and see a "wrapped" map that is not wrapped.
`display=True maps [0, pi] to [0, 1]` for viewing; the default is
`False — the **opposite** of cx_phase`'s default, deliberately,
because the consumers of this quantity in this module are numerical, and a
display scaling that arrives silently in a measurement is a factor of `pi`
that nothing announces.
Phase is the quantity a translation shifts linearly, which is why the whole
motion half of this module reads it. For an edge, phase 0 means the peak of
a bright line, `pi/2 a step edge and pi` the peak of a dark line — the
local *structure type*, independent of contrast.
Raises `ValueError`: the input is not a valid quaternion field, or its
`k` component is non-zero; *display* is not a bool.
• 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
image2d 作為輸入)riesz_transform · monogenic_signal
riesz)riesz_transform · monogenic_signal · monogenic_amplitude · 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.