band_snr — MOTIONMAG temporal op

Datenarten: videotable

Aufruf: import motionmag; motionmag.band_snr(video, f_lo, f_hi, fps) -> 'dict' (oder opsmotionmag.get("band_snr"))

Verwendung

Misst, was das Zeitband eines Clips enthält und was es kostet -> `dict`.

> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.

Every quantity is a measured mean-square power obtained from the per-pixel

temporal DFT (Parseval-normalised so that the bins of one pixel sum to that

pixel's mean square), averaged over pixels:

• `static_power` — the DC bin. The scene that is simply *there*.

• `band_power — the bins inside [f_lo, f_hi]`. Coherent motion plus

whatever noise happens to fall in the band.

• `out_of_band_power / out_of_band_bins` — everything else except DC.

With broadband sensor noise this is the noise floor, and

`noise_power_per_bin` is its per-bin density.

• `noise_in_band = noise_power_per_bin * band_bins` — how much of

`band_power` is expected to be noise.

• `motion_power = max(band_power - noise_in_band, 0)` and

`motion_snr_db = 10*log10(motion_power / noise_in_band)`.

• `image_snr_db = `10*log10(static_power / (band_power +

out_of_band_power))`` — the static scene against everything that flickers.

**The two SNRs answer different questions and magnification moves only one

of them.** Scaling the in-band phase by `alpha` scales the in-band motion

*and* the in-band noise by the same factor, so the true motion SNR cannot

improve: magnification never makes a measurement more certain than the

recording was. What does change is `image_snr_db`, because the temporal

fluctuation of the output frames grows like `alpha^2` while the static

scene does not.

A caveat that matters when this is run on an already-magnified clip.

`motion_snr_db` here divides the in-band signal by a noise floor estimated

from the *out-of-band* bins, and magnification does not touch those. Applied

to a magnified video it therefore credits `alpha^2` more in-band power

against an unchanged noise estimate and reports an improvement that did not

occur — measured, `+6.86 dB at alpha = 2` on a clip whose true motion

SNR cannot have moved. :func:motion_magnify knows the gain and returns the

corrected figure as `motion_snr_out_db`; use that one, not

`result["snr_out"]["motion_snr_db"]`.

`snr_clamped is True when a reported dB hit the [-100, +100]` window

(a noiseless synthetic has zero out-of-band power, which is a division by

zero rather than an infinite SNR).

Ausführlicher Anwendungsleitfaden

Leitfaden zur Familie motion_magnification

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.

• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.

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

motion_magnificationpy -3.11 examples/motion_magnification.py

poc_motion_magnificationpy -3.11 examples/poc_motion_magnification.py

Typkompatible Folge-Operatoren (nehmen table als Eingabe)

complex_steerable_reconstruct

Gleiche Kategorie (temporal)

temporal_bandpass · temporal_band_power


*Provenance: motionmag.py — MOTIONMAG 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.