tb_monogenic_phase — 2D typed op

Datenarten: qimageimage

Aufruf: fullseye.apply(img, "tb_monogenic_phase", a=0.5, b=0.5) (das 2-D-Modell ist ein Bild plus zwei skalare Regler a,b∈[0,1])

Verwendung

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.

Typed bridge of the quat op `monogenic_phase into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. This op has no tunable parameter; a and b` are unused.

Referenzen (Beispieldaten, Literatur)

• 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.

Ausführbare Beispiele (verifizierte Samples, die diesen Operator wirklich aufrufen)

• (noch keine)

Typkompatible Folge-Operatoren (nehmen image als Eingabe)

identity · gaussian · mean_box · bilateral · unsharp · median · min_filter · max_filter

Gleiche Kategorie (typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_angle_3points · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal


*Provenance: ops.py — 2D 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.