motion op• 資料種類:video → pairs
• 呼叫: import fullseye as fs; fs.ledger.riesz_displacement_series(video, f_lo, f_hi, fps, scales: 'int' = 4) -> 'np.ndarray'(要直接呼叫實作,import quatimage; quatimage.riesz_displacement_series(video, f_lo, f_hi, fps, scales: 'int' = 4) -> 'np.ndarray';從台帳取用則 opsquat.get("riesz_displacement_series"))
由單演相位得到的整影格位移波形。→ (T, 2)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
The contrast-weighted spatial mean of riesz_displacement: the rigid-body motion of the scene in pixels, one (dx, dy) row per frame. The (n, 2) layout is the shared 1-D convention (dsp.spectrum, funct1d, opsoptics's MTF curves), so the trace can be handed to dsp.spectrum to read off a resonant frequency without any repacking.
Weights are the |z|^2 contrast the field solve uses, restricted to the pixels marked valid, so blank regions do not drag the average towards zero. A clip with no valid pixel anywhere (a constant image) returns exact zeros rather than dividing by zero.
Accuracy, the J0 cliff and the multi-orientation failure all inherit from riesz_displacement — read its head-to-head table before trusting a number from here. On a single-grating 64x64x64 / 8 px / 4 Hz clip a true 0.5 px amplitude is recovered as 0.50000000000000 px (2.2e-16 relative); on the two-grating motionmag.synthesize_translation default the same 0.5 px comes back 13.0 % low, with nothing to signal it.
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者、年份)與用途見上面的族使用指南。
• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py
pairs 作為輸入)—
motion)riesz_motion_magnify · riesz_displacement
*Provenance: quatimage.py — QUAT 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.