fullseye

monogenic_phase — QUAT riesz op

使い方

Local phase atan2(|R|, f) of a monogenic signal. → (H, W).

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.

詳しい使い方ガイド

参考(サンプルデータ・文献)

実行できる例(この op を実際に呼ぶ検証済みサンプル)

型が繋がる次の op(image2d を入力に取れる)

riesz_transform · monogenic_signal

同カテゴリ(riesz)

riesz_transform · monogenic_signal · monogenic_amplitude · monogenic_orientation


Provenance: quatimage.py — QUAT operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.