fourier op• データ種: qimage → qimage
• 呼び出し: import fullseye as fs; fs.ledger.iqft2(spectrum, side, mu=None) -> 'np.ndarray' (実装を直接呼ぶなら import quatimage; quatimage.iqft2(spectrum, side, mu=None) -> 'np.ndarray'、台帳から引くなら opsquat.get("iqft2"))
中心化されたスペクトルの逆四元数フーリエ変換。→ (H, W, 4)。
> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。
The exact inverse of qft2 for the same side and the same mu:
measured round-trip error 2.22e-15 for both sides on a standard-normal (32, 32, 4) field. The kernel is exp(+mu * 2*pi*(...)) applied on the side named, and the 1/(H*W) normalisation is carried here, as in numpy.fft.ifft2.
Using the wrong side does not raise. iqft2(qft2(q, "left"), "right") returns a finite, plausible quaternion image that is simply not q:
measured max|err| = 1.113 on a random colour image whose own range is 0.9994 (another seed: 1.063 against 1.0), and — the dangerous case — only 0.054 against a range of 1.076 on a grey-axis-dominated one, which is small enough to survive a look at the picture. The side argument is required at both ends for exactly this reason, and the two calls must agree: nothing in the data records which transform produced it, so nothing downstream can catch the mismatch for you.
Raises ValueError: *spectrum* is not a valid (H, W, 4) field; *side* is not 'left' / 'right'; *mu* is not a finite non-zero 3-vector.
• quaternion_monogenic ファミリ ガイド
• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。
• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。
• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。
• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py
qimage を入力に取れる)quaternion_to_rgb · quat_norm · quat_conjugate_image · quat_normalize_image · quat_image_multiply · monogenic_amplitude · monogenic_phase · monogenic_orientation
fourier)*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.