riesz op• Datenarten: qimage → image2d
• Aufruf: import fullseye as fs; fs.ledger.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray' (die Implementierung direkt: import quatimage; quatimage.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray'; aus dem Register: opsquat.get("monogenic_phase"))
Lokale Phase atan2(|R|, f) eines monogenen Signals. → (H, W).
> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.
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.
• Leitfaden zur Familie quaternion_monogenic
• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).
• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.
• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.
• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py
image2d als Eingabe)riesz_transform · monogenic_signal
riesz)riesz_transform · monogenic_signal · monogenic_amplitude · monogenic_orientation
*Provenance: quatimage.py — QUAT Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.