riesz_displacement_series — QUAT motion op

• 数据种类:video → pairs

• 调用: import fullseye as fs; fs.ledger.riesz_displacement_series(video, f_lo, f_hi, fps, scales: 'int' = 4) -> 'np.ndarray'(要直接调用实现,import quatimage; quatimage.riesz_displacement_series(video, f_lo, f_hi, fps, scales: 'int' = 4) -> 'np.ndarray';从台账取用则 opsquat.get("riesz_displacement_series"))

用法

由单演相位得到的整帧位移波形。→ (T, 2)。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

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.

详细使用指南

• quaternion_monogenic 族使用指南

参考(示例数据、文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• quaternion_monogenic — py -3.11 examples/quaternion_monogenic.py

类型可衔接的下一个算子(可接受 pairs 作为输入)

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同类别(motion)

riesz_motion_magnify · riesz_displacement


*Provenance: quatimage.py — QUAT 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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