tb_tcspc_irf_convolve — 2D typed op

데이터 종류: countscounts

호출: fullseye.apply(img, "tb_tcspc_irf_convolve", a=0.5, b=0.5)(2-D 는 이미지 1 장 + 스칼라 노브 2 개 a,b∈[0,1] 모델)

*그림 없음: 이 연산자는 counts를 입력으로 받습니다. 이미지에서 시작하는 Studio 프로그램으로는 그 타입에 닿지 않으므로 아래의 실행 가능한 예제를 보세요.*

사용법

기기 응답(타이밍 지터)으로 도착 시간 히스토그램을 블러 처리.

> 아래 상세 설명은 원문입니다 —— 요약과 제목은 번역되어 있습니다.

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).

참고(샘플 데이터·문헌)

• 샘플 데이터 카탈로그(DL URL / 라이선스) —— 2-D 는 skimage.data(BSD/public)+ 합성, 3-D 는 실데이터 소스(Stanford/PDS 등)의 DL URL.

• 연산자의 내력·참고문헌 —— 이 연산자 족의 바탕이 된 연구/기법의 출처.

실행 가능한 예제(이 연산자를 실제로 호출하는 검증된 샘플)

• (아직 없음)

타입이 이어지는 다음 연산자(counts 를 입력으로 받는 것)

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

같은 카테고리(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 연산자 레지스트리. 이 op 노트는 tools/opdocs.py md 가 자동 생성합니다(직접 편집하지 마세요).*

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