tb_spad_deadtime_correct — 2D typed op

• 資料種類:counts → counts

• 呼叫:fullseye.apply(img, "tb_spad_deadtime_correct", a=0.5, b=0.5)(2-D 的模型是一張圖 + 兩個純量旋鈕 a,b∈[0,1])

用法

從受死時間影響而失真的量測速率中還原真實光子速率。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

The exact inverse of the non-paralysable law of

:func:spad_deadtime_apply::

n = m / (1 - m*tau)

A round trip `apply -> correct` is exact to machine precision (measured max

elementwise relative error 6.0e-16 over 2000 rates spanning 1e3 to 5e7 Hz at

`tau = 50 ns`, where the measured rate reaches 71.4% of the 20 MHz

saturation rate).

There is deliberately no paralysable inverse. `m = n*exp(-n*tau)` is not

injective — every measured rate below the maximum `1/(e*tau)` corresponds to

*two* true rates, one below and one above `1/tau` — so returning one of them

would be a fabrication dressed as a correction. Resolve the branch with an

independent measurement (e.g. an attenuator step) and invert it yourself.

*measured_hz* is a 1-D array of measured rates in counts per second;

*dead_time_ns* the dead time in nanoseconds (default 50, the same

placeholder :func:spad_deadtime_apply uses — replace it with the

datasheet value). Returns the corrected true rates as a float64 1-D array.

Raises `ValueError`: negative, non-finite or non-1-D *measured_hz*, a

non-positive *dead_time_ns*, and — instead of returning `inf` or a negative

rate — any measured rate at or above the saturation rate `1/tau`, which no

non-paralysable detector can ever produce.

Typed bridge of the photon op `spad_deadtime_correct into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. a drives dead_time_ns (default 50); b` is unused.

參考(範例資料・文獻)

• 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。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• (尚無)

型別可銜接的下一個運算子(可接受 counts 作為輸入)

identity · tb_spad_deadtime_apply · tb_tcspc_coates_correct · tb_tcspc_irf_convolve · tb_tcspc_background_subtract · tb_dtof_depth · tb_countrate_to_counts · tb_counts_to_countrate

同類別(typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_angle_3points · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal

*Provenance: ops.py — 2D 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.