typed op• 資料種類:counts → counts
• 呼叫:fullseye.apply(img, "tb_spad_deadtime_apply", 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])
*圖為在 128×128 合成輸入上實際執行的輸出。左為輸入，右為輸出。點雲以俯視散點顯示(亮度 = z)，一維序列為折線，體資料為沿 z 的最大值投影，影片為中間影格，複數影像為振幅；無法成像的回傳值直接顯示數值。*
掃描旋鈕 a(0.1 / 0.5 / 0.9，另一旋鈕取預設):
▸ tb_spad_deadtime_apply: knob a sweep (docs site)
*旋鈕 b 不改變輸出(實測: 0.1 / 0.5 / 0.9 相同)。*
階段(前置運算子 → 本運算子，由左至右):
▸ tb_spad_deadtime_apply: stages (docs site)
換別的影像(合成場景 / 照片 / 硬幣。上排為輸入，下排為對應輸出。旋鈕取預設):
▸ tb_spad_deadtime_apply: other inputs (docs site)
用偵測器的死時間使真實光子速率產生失真（計數遺失）。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
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.
• 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。
下面的程式已確認可以執行(與圖相同的輸入)。在 Studio 說明中，此區塊會變成按鈕，可當場載入並執行。
img_to_counts 0.50 0.50 tb_spad_deadtime_apply 0.50 0.50
▸ Load this pipeline · Load & run
下面的範例呼叫的是底層帳本運算子 spad_deadtime_apply。此橋接運算子只是把同一實作適配為 fn(v, a, b) 慣例，行為完全相同(只是呼叫形式不同)。
• photon_timeresolved — py -3.11 examples/photon_timeresolved.py
counts 作為輸入)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
typed)tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal · tb_voxel_grid_downsample
*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.