dtof_depth — PHOTON dtof op

数据种类:countsmeasurement

调用:import photoncount; photoncount.dtof_depth(hist, bin_ps=100.0, mode='peak', offset_ps=0.0, subtract_background=False)(或 opsphoton.get("dtof_depth"))

用法

由光子到达时间直方图求距离:`d = c*t/2`。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

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.

详细使用指南

photon_timeresolved 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)

photon_timeresolvedpy -3.11 examples/photon_timeresolved.py

poc_dtof_rangingpy -3.11 examples/poc_dtof_ranging.py

类型可衔接的下一个算子(可接受 measurement 作为输入)

同类别(dtof)

dtof_cube_simulate · dtof_cube_depth


*Provenance: photoncount.py — PHOTON 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.