tb_spad_deadtime_apply — 2D typed op

データ種: countscounts

呼び出し: fullseye.apply(img, "tb_spad_deadtime_apply", a=0.5, b=0.5) (2-D は 1 画像 + 2 スカラつまみ a,b∈[0,1] のモデル)

使い方

検出器のデッドタイムによって真の光子レートを歪ませる(カウントの取りこぼし)。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

After every detection a SPAD is blind for a recharge (dead) time `tau`, so

the *measured* rate `m is always below the *true* incident rate n`.

Two classical laws, and this op implements both:

non-paralysable (default) — an arriving photon during the dead time is

simply lost: `m = n / (1 + n*tau). Monotonic, saturating at 1/tau`.

paralysable (`paralyzable=True`) — an arriving photon *restarts* the

dead time: `m = n * exp(-n*tau). This law **peaks** at n = 1/tau`

(where `m = 1/(e*tau)`) and then falls, so a bright scene can read

*darker* than a dim one. That is why no inverse op exists for it (see

:func:spad_deadtime_correct).

*rate_hz* is a 1-D array of true rates in counts per second; *dead_time_ns*

is the dead time in nanoseconds, defaulting to 50 — the middle of the

10-100 ns range a passively quenched SPAD occupies, and a placeholder to be

replaced by the datasheet value, never a measurement of your detector.

Returns the measured rates as a float64 1-D array of the same length.

Ground truth (pinned in the tests): at `n = 1/tau` the non-paralysable law

gives exactly `n/2`; the paralysable law's maximum is exactly

`1/(e*tau) at n = 1/tau; both reduce to m = n as n*tau -> 0`.

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

non-positive *dead_time_ns*, and a non-bool *paralyzable*.

Typed bridge of the photon op `spad_deadtime_apply 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.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• (まだありません)

型が繋がる次の op(counts を入力に取れる)

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

同カテゴリ(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 operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

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