tb_tcspc_irf_convolve — 2D typed op

資料種類:countscounts

呼叫:fullseye.apply(img, "tb_tcspc_irf_convolve", 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])

*無圖: 該運算子以 counts 為輸入。從影像開始的 Studio 程式無法到達該型別,請參見下方的可執行範例。*

用法

用儀器響應(時序抖動)對到達時間直方圖進行模糊處理。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

The temporal analogue of a PSF convolution: a detector's timing uncertainty

(SPAD jitter + TDC quantisation + laser pulse width) smears every arrival

time by the instrument response function, here a Gaussian of full width at

half maximum *irf_fwhm_ps*. The kernel is the exact bin integral of that

Gaussian (erf differences), normalised to sum 1, truncated at

`+-truncate*sigma` and forced to odd length so the convolution is centred.

Ground truth: convolving a unit spike in the middle of a 256-bin window with

`irf_fwhm_ps = 500 at bin_ps = 50` leaves the centroid exactly

where it was (measured shift 0.0 ps — the kernel is symmetric) and gives a

profile whose measured FWHM is 501.22 ps. That 0.24% excess over 500 is the

*measurement*, not the kernel: :func:tcspc_stats finds the half-maximum

crossings by linear interpolation between bins, which slightly overestimates

the width of a Gaussian.

Total counts are preserved *except* at the window edges, where

`mode='same'` discards the tail that falls outside — measured loss exactly

0 for that centred spike, but a genuine loss for a pulse within a few sigma

of either end.

Returns a float64 1-D histogram of the same length as *hist*.

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

non-positive *bin_ps* / *irf_fwhm_ps* / *truncate*, an IRF sigma below

1e-3 bins (the kernel would be a delta and the op a no-op — say so instead

of pretending to blur), and a kernel that would be longer than the

:data:MAX_BINS cap.

Typed bridge of the photon op `tcspc_irf_convolve into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. a drives bin_ps (default 100) and b drives irf_fwhm_ps` (default 200).

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_spad_deadtime_correct · tb_tcspc_coates_correct · 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.