riesz op• Data kinds: qimage → image2d
• Call: import fullseye as fs; fs.ledger.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray' (implementation को सीधे call करना हो तो import quatimage; quatimage.monogenic_phase(qimage, display: 'bool' = False) -> 'np.ndarray', registry से लेना हो तो opsquat.get("monogenic_phase"))
monogenic signal का local phase atan2(|R|, f)। → (H, W)।
> नीचे का विस्तृत विवरण मूल text में है — सारांश और headings का अनुवाद हो चुका है।
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.
• quaternion_monogenic family guide
• Sample data catalog (DL URL / license) — 2-D के लिए skimage.data (BSD/public) + synthetic, 3-D के लिए real data sources (Stanford/PDS आदि) के DL URL।
• Operators का स्रोत और संदर्भ — इस op family के मूल research/methods के स्रोत।
• Algorithm का मानक स्रोत (लेखक, वर्ष) और उपयोग ऊपर की family usage guide में दिए गए हैं।
• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py
image2d को input के रूप में लेते हैं)riesz_transform · monogenic_signal
riesz)riesz_transform · monogenic_signal · monogenic_amplitude · monogenic_orientation
*Provenance: quatimage.py — QUAT operator registry. यह per-op note tools/opdocs.py md से अपने-आप generate होता है (हाथ से edit न करें)।*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.