dtof_depth — PHOTON dtof op

• Datenarten: counts → measurement

• Aufruf: import fullseye as fs; fs.ledger.dtof_depth(hist, bin_ps=100.0, mode='peak', offset_ps=0.0, subtract_background=False) (die Implementierung direkt: import photoncount; photoncount.dtof_depth(hist, bin_ps=100.0, mode='peak', offset_ps=0.0, subtract_background=False); aus dem Register: opsphoton.get("dtof_depth"))

Verwendung

Entfernung aus einem Photonenankunftszeit-Histogramm: d = c*t/2.

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

Direct time-of-flight. The light travels to the target and back, so the one-way distance is half the round-trip time times the speed of light. *bin_ps* is the width of one time bin (a 100 ps bin is 1.50 cm of depth).

Four estimators, from crudest to sharpest:

• "peak" — the centre of the fullest bin. Quantised to the bin grid; the error is uniform in +-half a bin (+-0.75 cm at 100 ps).

• "centroid" — the first moment of the whole histogram. Exact for a symmetric pulse *with no background*, and badly biased toward the middle of the window with one — pass subtract_background=True.

• "parabolic" — a parabola through the peak bin and its two neighbours. Sub-bin, cheap, and biased for a Gaussian pulse.

• "gaussian" — the same parabola fitted to the log of those three samples, which is the exact vertex for a Gaussian pulse.

Measured on a noiseless simulated return at 2.4371 m (256 bins x 100 ps, 500 ps IRF), absolute error: peak 1.29 mm, centroid 4.4e-16 m, parabolic 0.067 mm, gaussian 9.4e-9 m — three orders of magnitude between the crudest and the sharpest.

With Poisson noise (200 signal + 200 ambient photons, seed 0) the same four give 13.7 mm, 146.5 mm (with subtract_background=True), 8.5 mm and 8.0 mm. Two honest readings of that: once shot noise dominates the sub-bin estimators buy about 1.6x, not three orders of magnitude, and the centroid collapses because a median-subtracted ambient floor still leaves noise across the whole window that drags the first moment toward the centre. Use "gaussian" or "parabolic" on noisy data; use "centroid" only when the background is genuinely gone.

*offset_ps* is a system delay to remove: t_flight = t_measured - offset_ps, so a positive offset makes the answer *closer*. Returns the distance in metres as a float.

Raises ValueError: negative, non-finite, non-1-D or all-zero *hist*, a non-positive *bin_ps*, an unknown *mode*, a non-finite *offset_ps*, a flat histogram in a peak-based mode (argmax would silently pick bin 0 and report the first bin's depth), a peak in the first or last bin with a sub-bin *mode* (there is no neighbour to fit to — use "peak"), a degenerate three-sample fit, and — instead of returning a negative distance — an *offset_ps* larger than the measured arrival time.

Ausführlicher Anwendungsleitfaden

• Leitfaden zur Familie photon_timeresolved

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)

• photon_timeresolved — py -3.11 examples/photon_timeresolved.py

• poc_dtof_ranging — py -3.11 examples/poc_dtof_ranging.py

Typkompatible Folge-Operatoren (nehmen measurement als Eingabe)

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Gleiche Kategorie (dtof)

dtof_cube_simulate · dtof_cube_depth


*Provenance: photoncount.py — PHOTON 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.