tb_tcspc_irf_convolve — 2D typed op

データ種: countscounts

呼び出し: fullseye.apply(img, "tb_tcspc_irf_convolve", 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

到達時刻ヒストグラムに装置応答(タイミングジッタ)を畳み込んでぼかす。

> 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。

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).

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_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.