riesz op• 資料種類:qimage → image2d
• 呼叫: import fullseye as fs; fs.ledger.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray'(要直接呼叫實作,import quatimage; quatimage.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray';從台帳取用則 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.